WEBVTT Kind: captions Language: en 00:00:01.070 --> 00:00:17.260 align:start position:0% [Applause] 00:00:17.260 --> 00:00:17.270 align:start position:0% 00:00:17.270 --> 00:00:19.460 align:start position:0% but<00:00:18.270> it<00:00:18.450> doesn't<00:00:18.690> matter<00:00:18.779> because<00:00:18.930> I've 00:00:19.460 --> 00:00:19.470 align:start position:0% but it doesn't matter because I've 00:00:19.470 --> 00:00:23.240 align:start position:0% but it doesn't matter because I've waited<00:00:19.710> for<00:00:19.950> many<00:00:20.130> minutes<00:00:21.050> okay<00:00:22.050> so<00:00:22.380> we're 00:00:23.240 --> 00:00:23.250 align:start position:0% waited for many minutes okay so we're 00:00:23.250 --> 00:00:26.090 align:start position:0% waited for many minutes okay so we're talking<00:00:23.400> about<00:00:23.550> later<00:00:23.880> today<00:00:24.330> I<00:00:24.890> look<00:00:25.890> like 00:00:26.090 --> 00:00:26.100 align:start position:0% talking about later today I look like 00:00:26.100 --> 00:00:27.770 align:start position:0% talking about later today I look like about<00:00:26.310> particularly<00:00:26.850> something<00:00:27.539> which<00:00:27.690> is 00:00:27.770 --> 00:00:27.780 align:start position:0% about particularly something which is 00:00:27.780 --> 00:00:30.250 align:start position:0% about particularly something which is difficult<00:00:27.930> the<00:00:28.590> obligatory<00:00:29.190> machine<00:00:29.760> now 00:00:30.250 --> 00:00:30.260 align:start position:0% difficult the obligatory machine now 00:00:30.260 --> 00:00:32.570 align:start position:0% difficult the obligatory machine now when<00:00:31.260> most<00:00:31.440> people<00:00:31.560> think<00:00:31.770> of<00:00:32.129> a<00:00:32.220> virtual 00:00:32.570 --> 00:00:32.580 align:start position:0% when most people think of a virtual 00:00:32.580 --> 00:00:34.760 align:start position:0% when most people think of a virtual machine<00:00:32.699> they<00:00:33.660> think<00:00:33.960> of<00:00:34.140> stacks<00:00:34.440> and 00:00:34.760 --> 00:00:34.770 align:start position:0% machine they think of stacks and 00:00:34.770 --> 00:00:37.130 align:start position:0% machine they think of stacks and registers<00:00:35.760> and<00:00:36.180> all<00:00:36.270> these<00:00:36.449> other<00:00:36.629> things<00:00:36.660> and 00:00:37.130 --> 00:00:37.140 align:start position:0% registers and all these other things and 00:00:37.140 --> 00:00:41.030 align:start position:0% registers and all these other things and I<00:00:37.920> got<00:00:38.160> a<00:00:38.809> incredibly<00:00:39.809> advanced<00:00:40.770> computer 00:00:41.030 --> 00:00:41.040 align:start position:0% I got a incredibly advanced computer 00:00:41.040 --> 00:00:42.650 align:start position:0% I got a incredibly advanced computer scientist<00:00:41.460> so<00:00:41.820> I<00:00:41.879> think<00:00:41.970> I<00:00:42.149> can<00:00:42.210> make<00:00:42.510> an 00:00:42.650 --> 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actually 00:00:47.970 --> 00:00:50.000 align:start position:0% I'm can we do something else so actually we're<00:00:48.300> gonna<00:00:48.390> be<00:00:48.510> talking<00:00:48.720> about<00:00:48.750> today<00:00:49.010> is 00:00:50.000 --> 00:00:50.010 align:start position:0% we're gonna be talking about today is 00:00:50.010 --> 00:00:52.000 align:start position:0% we're gonna be talking about today is one<00:00:50.250> particular<00:00:50.460> subset<00:00:51.059> called<00:00:51.180> optimistic 00:00:52.000 --> 00:00:52.010 align:start position:0% one particular subset called optimistic 00:00:52.010 --> 00:00:56.020 align:start position:0% one particular subset called optimistic semantics<00:00:53.390> and<00:00:54.390> basically<00:00:55.050> the<00:00:55.200> idea<00:00:55.530> is 00:00:56.020 --> 00:00:56.030 align:start position:0% semantics and basically the idea is 00:00:56.030 --> 00:00:58.250 align:start position:0% semantics and basically the idea is what's<00:00:57.030> going<00:00:57.270> on<00:00:57.390> with<00:00:57.480> this<00:00:57.570> layer<00:00:57.780> two<00:00:58.020> and 00:00:58.250 --> 00:00:58.260 align:start position:0% what's going on with this layer two and 00:00:58.260 --> 00:01:00.200 align:start position:0% what's going on with this layer two and how<00:00:58.710> can<00:00:58.770> we<00:00:59.100> try<00:00:59.309> to<00:00:59.340> bring<00:00:59.730> it<00:00:59.850> under<00:01:00.000> your 00:01:00.200 --> 00:01:00.210 align:start position:0% how can we try to bring it under your 00:01:00.210 --> 00:01:02.180 align:start position:0% how can we try to bring it under your sort<00:01:00.510> of<00:01:00.570> more<00:01:00.719> unified<00:01:01.170> I'm<00:01:01.649> well<00:01:01.860> what's<00:01:02.100> up 00:01:02.180 --> 00:01:02.190 align:start position:0% sort of more unified I'm well what's up 00:01:02.190 --> 00:01:05.630 align:start position:0% sort of more unified I'm well what's up guys<00:01:02.629> we're<00:01:03.629> unified<00:01:03.809> umbrella<00:01:04.440> okay<00:01:04.830> so<00:01:05.520> what 00:01:05.630 --> 00:01:05.640 align:start position:0% guys we're unified umbrella okay so what 00:01:05.640 --> 00:01:07.580 align:start position:0% guys we're unified umbrella okay so what are<00:01:05.670> we<00:01:05.759> gonna<00:01:05.850> talk<00:01:05.970> about<00:01:06.030> today<00:01:06.590> first 00:01:07.580 --> 00:01:07.590 align:start position:0% are we gonna talk about today first 00:01:07.590 --> 00:01:08.570 align:start position:0% are we gonna talk about today first thing<00:01:07.830> we're<00:01:07.950> gonna<00:01:08.009> do<00:01:08.190> is<00:01:08.220> we're<00:01:08.520> gonna 00:01:08.570 --> 00:01:08.580 align:start position:0% thing we're gonna do is we're gonna 00:01:08.580 --> 00:01:10.999 align:start position:0% thing we're gonna do is we're gonna spend<00:01:08.820> some<00:01:08.940> time<00:01:09.240> bisecting<00:01:10.140> what<00:01:10.560> layer<00:01:10.740> two 00:01:10.999 --> 00:01:11.009 align:start position:0% spend some time bisecting what layer two 00:01:11.009 --> 00:01:14.270 align:start position:0% spend some time bisecting what layer two is<00:01:11.220> today<00:01:11.610> and<00:01:12.020> sort<00:01:13.020> of<00:01:13.050> looking<00:01:13.289> at<00:01:13.500> how<00:01:14.130> it 00:01:14.270 --> 00:01:14.280 align:start position:0% is today and sort of looking at how it 00:01:14.280 --> 00:01:16.310 align:start position:0% is today and sort of looking at how it functions<00:01:14.760> and<00:01:15.299> what<00:01:15.630> are<00:01:15.690> the<00:01:15.780> conversation 00:01:16.310 --> 00:01:16.320 align:start position:0% functions and what are the conversation 00:01:16.320 --> 00:01:18.740 align:start position:0% functions and what are the conversation the<00:01:17.070> next<00:01:17.100> thing<00:01:17.430> we're<00:01:17.640> going<00:01:17.729> to<00:01:17.790> do<00:01:17.909> is<00:01:18.390> we 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align:start position:0% two and talk about how we should try to 00:01:25.439 --> 00:01:27.920 align:start position:0% two and talk about how we should try to use<00:01:25.530> those<00:01:25.860> to<00:01:26.729> build<00:01:26.760> the<00:01:27.299> layer<00:01:27.450> two 00:01:27.920 --> 00:01:27.930 align:start position:0% use those to build the layer two 00:01:27.930 --> 00:01:30.080 align:start position:0% use those to build the layer two okay<00:01:28.830> and<00:01:29.070> the<00:01:29.220> last<00:01:29.250> thing<00:01:29.549> here<00:01:29.700> which<00:01:29.850> pema 00:01:30.080 --> 00:01:30.090 align:start position:0% okay and the last thing here which pema 00:01:30.090 --> 00:01:31.609 align:start position:0% okay and the last thing here which pema this<00:01:30.330> is<00:01:30.420> really<00:01:30.659> an<00:01:30.720> agenda<00:01:30.960> point<00:01:31.350> but<00:01:31.500> it's 00:01:31.609 --> 00:01:31.619 align:start position:0% this is really an agenda point but it's 00:01:31.619 --> 00:01:33.380 align:start position:0% this is really an agenda point but it's something<00:01:31.860> that<00:01:31.950> i<00:01:32.070> want<00:01:32.369> is<00:01:32.790> i<00:01:33.000> do<00:01:33.060> not<00:01:33.299> know 00:01:33.380 --> 00:01:33.390 align:start position:0% something that i want is i do not know 00:01:33.390 --> 00:01:35.000 align:start position:0% something that i want is i do not know how<00:01:33.479> to<00:01:33.540> finish<00:01:33.720> these<00:01:33.990> slides<00:01:34.260> okay<00:01:34.680> so<00:01:34.740> the 00:01:35.000 --> 00:01:35.010 align:start position:0% how to finish these slides okay so the 00:01:35.010 --> 00:01:37.399 align:start position:0% how to finish these slides okay so the reason<00:01:35.159> that<00:01:35.939> this<00:01:36.119> is<00:01:36.360> like<00:01:36.540> not<00:01:36.869> a<00:01:37.080> video 00:01:37.399 --> 00:01:37.409 align:start position:0% reason that this is like not a video 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align:start position:0% this means is that there's no point in us<00:01:48.000> having<00:01:48.150> this<00:01:48.360> here<00:01:48.630> unless<00:01:48.930> people<00:01:49.110> ask 00:01:49.340 --> 00:01:49.350 align:start position:0% us having this here unless people ask 00:01:49.350 --> 00:01:52.070 align:start position:0% us having this here unless people ask questions<00:01:49.500> and<00:01:50.010> engage<00:01:50.130> okay<00:01:50.940> so<00:01:51.660> before<00:01:51.840> I<00:01:51.960> go 00:01:52.070 --> 00:01:52.080 align:start position:0% questions and engage okay so before I go 00:01:52.080 --> 00:01:53.240 align:start position:0% questions and engage okay so before I go forward<00:01:52.410> I'm<00:01:52.530> not<00:01:52.560> going<00:01:52.800> to<00:01:52.860> say<00:01:52.920> no<00:01:53.070> word 00:01:53.240 --> 00:01:53.250 align:start position:0% forward I'm not going to say no word 00:01:53.250 --> 00:01:57.680 align:start position:0% forward I'm not going to say no word until<00:01:53.490> I<00:01:53.670> ask<00:01:53.820> the<00:01:53.910> question<00:01:56.570> do<00:01:57.570> you<00:01:57.660> feel 00:01:57.680 --> 00:01:57.690 align:start position:0% until I ask the question do you feel 00:01:57.690 --> 00:02:00.320 align:start position:0% until I ask the question do you feel like<00:01:58.020> perfect<00:01:58.440> you<00:01:58.500> optimistic<00:01:58.980> about<00:01:59.400> like 00:02:00.320 --> 00:02:00.330 align:start position:0% like perfect you optimistic about like 00:02:00.330 --> 00:02:01.580 align:start position:0% like perfect you optimistic about like audience<00:02:00.690> participation 00:02:01.580 --> 00:02:01.590 align:start position:0% audience participation 00:02:01.590 --> 00:02:09.880 align:start position:0% audience participation [Music] 00:02:09.880 --> 00:02:09.890 align:start position:0% 00:02:09.890 --> 00:02:14.540 align:start position:0% to<00:02:10.890> optimistic<00:02:11.460> is<00:02:11.550> like<00:02:11.760> supply<00:02:13.190> okay<00:02:14.190> great 00:02:14.540 --> 00:02:14.550 align:start position:0% to optimistic is like supply okay great 00:02:14.550 --> 00:02:17.030 align:start position:0% to optimistic is like supply okay great okay<00:02:14.910> I<00:02:15.180> let<00:02:16.020> so<00:02:16.170> let's<00:02:16.350> gonna<00:02:16.530> make<00:02:16.680> this<00:02:16.830> a 00:02:17.030 --> 00:02:17.040 align:start position:0% okay I let so let's gonna make this a 00:02:17.040 --> 00:02:19.880 align:start position:0% okay I let so let's gonna make this a little<00:02:17.160> bit<00:02:17.450> so<00:02:18.450> we<00:02:18.570> have<00:02:18.600> a<00:02:18.690> later<00:02:18.870> -<00:02:19.110> later<00:02:19.500> - 00:02:19.880 --> 00:02:19.890 align:start position:0% little bit so we have a later - later - 00:02:19.890 --> 00:02:22.130 align:start position:0% little bit so we have a later - later - is<00:02:20.100> popping<00:02:20.820> you<00:02:21.030> could<00:02:21.210> even<00:02:21.360> say<00:02:21.600> it's<00:02:21.750> a<00:02:21.810> any 00:02:22.130 --> 00:02:22.140 align:start position:0% is popping you could even say it's a any 00:02:22.140 --> 00:02:24.470 align:start position:0% is popping you could even say it's a any brilliant<00:02:22.410> explosion<00:02:23.310> okay<00:02:23.970> it's<00:02:24.120> under<00:02:24.270> the 00:02:24.470 --> 00:02:24.480 align:start position:0% brilliant explosion okay it's under the 00:02:24.480 --> 00:02:26.120 align:start position:0% brilliant explosion okay it's under the sex<00:02:24.690> building<00:02:25.080> I<00:02:25.200> think<00:02:25.260> to<00:02:25.620> quote<00:02:25.800> me<00:02:25.890> about 00:02:26.120 --> 00:02:26.130 align:start position:0% sex building I think to quote me about 00:02:26.130 --> 00:02:28.580 align:start position:0% sex building I think to quote me about my<00:02:26.280> really<00:02:26.430> big<00:02:26.610> plan<00:02:26.820> do<00:02:27.660> very<00:02:27.960> very<00:02:28.020> simple 00:02:28.580 --> 00:02:28.590 align:start position:0% my really big plan do very very simple 00:02:28.590 --> 00:02:30.560 align:start position:0% my really big plan do very very simple payment<00:02:28.920> channels<00:02:29.190> a<00:02:29.280> bitcoin<00:02:29.670> then<00:02:30.330> we<00:02:30.450> have 00:02:30.560 --> 00:02:30.570 align:start position:0% payment channels a bitcoin then we have 00:02:30.570 --> 00:02:33.470 align:start position:0% payment channels a bitcoin then we have a<00:02:30.600> lightning<00:02:30.900> power<00:02:31.230> come<00:02:31.500> out<00:02:31.650> in<00:02:31.830> 2015<00:02:32.480> then 00:02:33.470 --> 00:02:33.480 align:start position:0% a lightning power come out in 2015 then 00:02:33.480 --> 00:02:34.970 align:start position:0% a lightning power come out in 2015 then we<00:02:33.570> started<00:02:33.840> seeing<00:02:34.020> more<00:02:34.110> different<00:02:34.680> state 00:02:34.970 --> 00:02:34.980 align:start position:0% we started seeing more different state 00:02:34.980 --> 00:02:37.520 align:start position:0% we started seeing more different state channels<00:02:35.340> design<00:02:36.060> sprites<00:02:36.600> virtual<00:02:37.110> channels 00:02:37.520 --> 00:02:37.530 align:start position:0% channels design sprites virtual channels 00:02:37.530 --> 00:02:39.920 align:start position:0% channels design sprites virtual channels generalize<00:02:38.070> channels<00:02:38.700> right<00:02:39.030> we<00:02:39.720> start 00:02:39.920 --> 00:02:39.930 align:start position:0% generalize channels right we start 00:02:39.930 --> 00:02:41.660 align:start position:0% generalize channels right we start because<00:02:40.260> a<00:02:40.350> true<00:02:40.560> bit<00:02:40.710> that<00:02:40.860> I<00:02:41.040> and<00:02:41.310> I<00:02:41.400> come 00:02:41.660 --> 00:02:41.670 align:start position:0% because a true bit that I and I come 00:02:41.670 --> 00:02:43.130 align:start position:0% because a true bit that I and I come from<00:02:41.700> a<00:02:41.850> background<00:02:41.970> of<00:02:42.300> plasma<00:02:42.840> and<00:02:42.960> plasma 00:02:43.130 --> 00:02:43.140 align:start position:0% from a background of plasma and plasma 00:02:43.140 --> 00:02:45.350 align:start position:0% from a background of plasma and plasma is<00:02:43.440> perhaps<00:02:43.680> the<00:02:44.490> most<00:02:44.520> exciting<00:02:45.180> but<00:02:45.300> also 00:02:45.350 --> 00:02:45.360 align:start position:0% is perhaps the most exciting but also 00:02:45.360 --> 00:02:48.620 align:start position:0% is perhaps the most exciting but also guilty<00:02:46.160> printing<00:02:47.160> huge<00:02:47.550> amounts<00:02:48.180> of<00:02:48.240> diverse 00:02:48.620 --> 00:02:48.630 align:start position:0% guilty printing huge amounts of diverse 00:02:48.630 --> 00:02:51.950 align:start position:0% guilty printing huge amounts of diverse designs<00:02:49.110> and<00:02:49.670> varying<00:02:50.670> implementations<00:02:51.360> this 00:02:51.950 --> 00:02:51.960 align:start position:0% designs and varying implementations this 00:02:51.960 --> 00:02:53.780 align:start position:0% designs and varying implementations this is<00:02:52.080> a<00:02:52.200> place<00:02:52.440> small<00:02:52.800> selection<00:02:53.280> of<00:02:53.490> the<00:02:53.610> code 00:02:53.780 --> 00:02:53.790 align:start position:0% is a place small selection of the code 00:02:53.790 --> 00:02:55.880 align:start position:0% is a place small selection of the code plasma<00:02:54.510> flavors<00:02:54.990> that<00:02:55.230> we<00:02:55.350> have<00:02:55.530> in<00:02:55.800> the 00:02:55.880 --> 00:02:55.890 align:start position:0% plasma flavors that we have in the 00:02:55.890 --> 00:02:58.490 align:start position:0% plasma flavors that we have in the classroom<00:02:56.100> design<00:02:56.460> world<00:02:56.700> I<00:02:57.140> mean<00:02:58.140> even<00:02:58.350> worse 00:02:58.490 --> 00:02:58.500 align:start position:0% classroom design world I mean even worse 00:02:58.500 --> 00:03:00.230 align:start position:0% classroom design world I mean even worse I'll<00:02:58.710> be<00:02:58.800> company<00:02:59.070> you<00:02:59.160> other<00:02:59.760> incredible 00:03:00.230 --> 00:03:00.240 align:start position:0% I'll be company you other incredible 00:03:00.240 --> 00:03:02.090 align:start position:0% I'll be company you other incredible things<00:03:00.450> happening<00:03:00.750> we've<00:03:00.930> got<00:03:01.080> roll-ups<00:03:01.590> the 00:03:02.090 --> 00:03:02.100 align:start position:0% things happening we've got roll-ups the 00:03:02.100 --> 00:03:04.550 align:start position:0% things happening we've got roll-ups the optimistic<00:03:02.550> flavor<00:03:02.940> and<00:03:03.210> the<00:03:03.300> CK<00:03:03.600> flavor<00:03:03.930> no 00:03:04.550 --> 00:03:04.560 align:start position:0% optimistic flavor and the CK flavor no 00:03:04.560 --> 00:03:06.200 align:start position:0% optimistic flavor and the CK flavor no cuz<00:03:04.830> it's<00:03:05.100> a<00:03:05.160> commit<00:03:05.550> chain<00:03:05.820> which<00:03:06.120> is 00:03:06.200 --> 00:03:06.210 align:start position:0% cuz it's a commit chain which is 00:03:06.210 --> 00:03:07.700 align:start position:0% cuz it's a commit chain which is basically<00:03:06.480> possible<00:03:06.930> that<00:03:07.050> is<00:03:07.140> why<00:03:07.230> cultures 00:03:07.700 --> 00:03:07.710 align:start position:0% basically possible that is why cultures 00:03:07.710 --> 00:03:09.650 align:start position:0% basically possible that is why cultures possibly<00:03:08.100> because<00:03:08.250> they're<00:03:08.400> not<00:03:08.490> plasma<00:03:08.910> our 00:03:09.650 --> 00:03:09.660 align:start position:0% possibly because they're not plasma our 00:03:09.660 --> 00:03:11.840 align:start position:0% possibly because they're not plasma our maturity<00:03:10.290> was<00:03:10.410> in<00:03:10.530> the<00:03:10.620> room<00:03:10.830> with<00:03:11.100> another 00:03:11.840 --> 00:03:11.850 align:start position:0% maturity was in the room with another 00:03:11.850 --> 00:03:13.250 align:start position:0% maturity was in the room with another better<00:03:12.270> version<00:03:12.660> of<00:03:12.720> two<00:03:12.870> of<00:03:12.959> it<00:03:13.080> right 00:03:13.250 --> 00:03:13.260 align:start position:0% better version of two of it right 00:03:13.260 --> 00:03:15.140 align:start position:0% better version of two of it right there's<00:03:13.770> lots<00:03:14.040> and<00:03:14.310> lots<00:03:14.400> of<00:03:14.640> exams<00:03:14.970> use 00:03:15.140 --> 00:03:15.150 align:start position:0% there's lots and lots of exams use 00:03:15.150 --> 00:03:17.449 align:start position:0% there's lots and lots of exams use coming<00:03:15.420> about<00:03:15.600> right<00:03:16.050> so<00:03:17.010> this<00:03:17.130> is<00:03:17.190> wonderful 00:03:17.449 --> 00:03:17.459 align:start position:0% coming about right so this is wonderful 00:03:17.459 --> 00:03:19.430 align:start position:0% coming about right so this is wonderful as<00:03:17.880> a<00:03:17.910> research<00:03:18.300> in<00:03:18.480> this<00:03:18.570> very<00:03:18.810> exciting<00:03:19.050> as<00:03:19.380> a 00:03:19.430 --> 00:03:19.440 align:start position:0% as a research in this very exciting as a 00:03:19.440 --> 00:03:21.440 align:start position:0% as a research in this very exciting as a user<00:03:20.190> who<00:03:20.370> wants<00:03:20.670> we<00:03:20.940> didn't<00:03:21.120> get<00:03:21.209> the<00:03:21.300> big 00:03:21.440 --> 00:03:21.450 align:start position:0% user who wants we didn't get the big 00:03:21.450 --> 00:03:24.530 align:start position:0% user who wants we didn't get the big simulator<00:03:21.780> to<00:03:21.989> this<00:03:22.050> is<00:03:22.260> very<00:03:22.290> exciting<00:03:23.540> but 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protocol 00:03:49.890 --> 00:03:51.560 align:start position:0% these are you know layer 2 protocol admin<00:03:50.250> and<00:03:50.370> layer<00:03:50.490> 2<00:03:50.670> protocol<00:03:51.000> head<00:03:51.150> plus<00:03:51.330> one 00:03:51.560 --> 00:03:51.570 align:start position:0% admin and layer 2 protocol head plus one 00:03:51.570 --> 00:03:53.660 align:start position:0% admin and layer 2 protocol head plus one this<00:03:52.140> is<00:03:52.350> like<00:03:52.380> often<00:03:52.830> sort<00:03:53.040> of<00:03:53.160> you<00:03:53.280> know<00:03:53.310> what 00:03:53.660 --> 00:03:53.670 align:start position:0% this is like often sort of you know what 00:03:53.670 --> 00:03:56.510 align:start position:0% this is like often sort of you know what we<00:03:53.760> get<00:03:54.020> in<00:03:55.020> this<00:03:55.110> ingest<00:03:55.560> of<00:03:55.740> course<00:03:55.980> you<00:03:56.400> know 00:03:56.510 --> 00:03:56.520 align:start position:0% we get in this ingest of course you know 00:03:56.520 --> 00:03:58.130 align:start position:0% we get in this ingest of course you know citations<00:03:57.420> are<00:03:57.510> very<00:03:57.660> important<00:03:58.020> and 00:03:58.130 --> 00:03:58.140 align:start position:0% citations are very important and 00:03:58.140 --> 00:03:59.210 align:start position:0% citations are very important and everyone's<00:03:58.440> standing<00:03:58.620> on<00:03:58.800> the<00:03:58.860> shoulders<00:03:59.160> of 00:03:59.210 --> 00:03:59.220 align:start position:0% everyone's standing on the shoulders of 00:03:59.220 --> 00:04:00.320 align:start position:0% everyone's standing on the shoulders of giants 00:04:00.320 --> 00:04:00.330 align:start position:0% giants 00:04:00.330 --> 00:04:02.120 align:start position:0% giants but<00:04:00.810> everything<00:04:01.110> uses<00:04:01.350> disputes<00:04:01.710> this<00:04:01.920> is<00:04:02.010> the 00:04:02.120 --> 00:04:02.130 align:start position:0% but everything uses disputes this is the 00:04:02.130 --> 00:04:07.040 align:start position:0% but everything uses disputes this is the point<00:04:02.340> ok<00:04:02.850> I<00:04:04.280> think<00:04:05.280> I<00:04:05.340> realized<00:04:05.760> is<00:04:06.120> that<00:04:06.150> the 00:04:07.040 --> 00:04:07.050 align:start position:0% point ok I think I realized is that the 00:04:07.050 --> 00:04:09.230 align:start position:0% point ok I think I realized is that the sort<00:04:07.470> of<00:04:07.530> meme<00:04:07.830> of<00:04:08.160> one<00:04:08.490> helps<00:04:08.880> you<00:04:08.970> can<00:04:09.150> rule 00:04:09.230 --> 00:04:09.240 align:start position:0% sort of meme of one helps you can rule 00:04:09.240 --> 00:04:10.760 align:start position:0% sort of meme of one helps you can rule them<00:04:09.330> all<00:04:09.480> up<00:04:09.780> and<00:04:09.900> out<00:04:10.020> outside<00:04:10.470> view<00:04:10.650> the 00:04:10.760 --> 00:04:10.770 align:start position:0% them all up and out outside view the 00:04:10.770 --> 00:04:12.140 align:start position:0% them all up and out outside view the Bitcoin<00:04:11.070> world<00:04:11.100> because<00:04:11.520> unfortunately<00:04:12.000> only 00:04:12.140 --> 00:04:12.150 align:start position:0% Bitcoin world because unfortunately only 00:04:12.150 --> 00:04:13.970 align:start position:0% Bitcoin world because unfortunately only lightning<00:04:12.540> is<00:04:12.600> really<00:04:12.780> possible<00:04:13.140> on<00:04:13.770> Bitcoin 00:04:13.970 --> 00:04:13.980 align:start position:0% lightning is really possible on Bitcoin 00:04:13.980 --> 00:04:16.729 align:start position:0% lightning is really possible on Bitcoin this<00:04:14.790> is<00:04:15.120> a<00:04:15.150> lie<00:04:15.450> this<00:04:15.900> is<00:04:15.959> just<00:04:16.230> a<00:04:16.290> plain<00:04:16.500> line 00:04:16.729 --> 00:04:16.739 align:start position:0% this is a lie this is just a plain line 00:04:16.739 --> 00:04:18.650 align:start position:0% this is a lie this is just a plain line ok<00:04:17.250> what<00:04:17.730> we<00:04:17.850> see<00:04:18.030> is<00:04:18.150> the<00:04:18.239> different<00:04:18.390> layer 00:04:18.650 --> 00:04:18.660 align:start position:0% ok what we see is the different layer 00:04:18.660 --> 00:04:20.630 align:start position:0% ok what we see is the different layer two<00:04:18.840> designs<00:04:19.169> are<00:04:19.650> built<00:04:20.010> for<00:04:20.250> different 00:04:20.630 --> 00:04:20.640 align:start position:0% two designs are built for different 00:04:20.640 --> 00:04:22.159 align:start position:0% two designs are built for different applications<00:04:21.269> they're<00:04:21.480> built<00:04:21.660> for<00:04:21.810> different 00:04:22.159 --> 00:04:22.169 align:start position:0% applications they're built for different 00:04:22.169 --> 00:04:24.620 align:start position:0% applications they're built for different use<00:04:22.290> cases<00:04:22.560> so<00:04:23.400> what<00:04:23.490> we<00:04:23.610> need<00:04:23.730> to<00:04:23.760> say<00:04:23.970> see<00:04:24.390> is 00:04:24.620 --> 00:04:24.630 align:start position:0% use cases so what we need to say see is 00:04:24.630 --> 00:04:26.960 align:start position:0% use cases so what we need to say see is not<00:04:24.840> one<00:04:25.230> l2<00:04:25.620> the<00:04:25.740> global<00:04:26.130> but<00:04:26.580> like<00:04:26.760> you<00:04:26.910> know 00:04:26.960 --> 00:04:26.970 align:start position:0% not one l2 the global but like you know 00:04:26.970 --> 00:04:29.330 align:start position:0% not one l2 the global but like you know sand<00:04:27.450> well<00:04:27.900> Jesus<00:04:28.260> shaking<00:04:28.710> hands<00:04:28.919> and 00:04:29.330 --> 00:04:29.340 align:start position:0% sand well Jesus shaking hands and 00:04:29.340 --> 00:04:31.850 align:start position:0% sand well Jesus shaking hands and interoperating<00:04:30.300> because<00:04:30.600> the<00:04:30.690> reality<00:04:30.960> users 00:04:31.850 --> 00:04:31.860 align:start position:0% interoperating because the reality users 00:04:31.860 --> 00:04:33.260 align:start position:0% interoperating because the reality users are<00:04:31.980> going<00:04:32.070> to<00:04:32.130> want<00:04:32.190> you<00:04:32.430> some<00:04:32.580> many<00:04:32.880> such 00:04:33.260 --> 00:04:33.270 align:start position:0% are going to want you some many such 00:04:33.270 --> 00:04:34.670 align:start position:0% are going to want you some many such applications<00:04:33.870> the<00:04:33.990> layers<00:04:34.169> you<00:04:34.290> can<00:04:34.380> provide 00:04:34.670 --> 00:04:34.680 align:start position:0% applications the layers you can provide 00:04:34.680 --> 00:04:36.080 align:start position:0% applications the layers you can provide but<00:04:34.890> it's<00:04:35.070> not<00:04:35.190> going<00:04:35.370> to<00:04:35.430> be<00:04:35.490> just<00:04:35.669> one<00:04:35.880> that 00:04:36.080 --> 00:04:36.090 align:start position:0% but it's not going to be just one that 00:04:36.090 --> 00:04:37.670 align:start position:0% but it's not going to be just one that gives<00:04:36.240> it<00:04:36.360> to<00:04:36.450> them<00:04:36.570> that's<00:04:37.230> not<00:04:37.350> to<00:04:37.530> say<00:04:37.650> that 00:04:37.670 --> 00:04:37.680 align:start position:0% gives it to them that's not to say that 00:04:37.680 --> 00:04:39.470 align:start position:0% gives it to them that's not to say that we're<00:04:37.890> gonna<00:04:37.950> have<00:04:38.190> you<00:04:38.460> know<00:04:38.580> thousands 00:04:39.470 --> 00:04:39.480 align:start position:0% we're gonna have you know thousands 00:04:39.480 --> 00:04:41.000 align:start position:0% we're gonna have you know thousands perhaps<00:04:39.720> but<00:04:40.050> it<00:04:40.169> was<00:04:40.260> probably<00:04:40.560> on<00:04:40.710> more<00:04:40.890> than 00:04:41.000 --> 00:04:41.010 align:start position:0% perhaps but it was probably on more than 00:04:41.010 --> 00:04:45.350 align:start position:0% perhaps but it was probably on more than one<00:04:41.960> ok<00:04:42.960> so<00:04:43.200> I<00:04:43.860> have<00:04:44.640> not<00:04:44.729> any<00:04:44.850> questions<00:04:45.210> now 00:04:45.350 --> 00:04:45.360 align:start position:0% one ok so I have not any questions now 00:04:45.360 --> 00:04:46.490 align:start position:0% one ok so I have not any questions now something's<00:04:45.660> composite<00:04:46.110> off<00:04:46.229> and<00:04:46.410> they've 00:04:46.490 --> 00:04:46.500 align:start position:0% something's composite off and they've 00:04:46.500 --> 00:04:48.469 align:start position:0% something's composite off and they've got<00:04:46.650> the<00:04:46.770> questions<00:04:47.160> cuz<00:04:47.970> I<00:04:48.060> would<00:04:48.210> agree<00:04:48.360> with 00:04:48.469 --> 00:04:48.479 align:start position:0% got the questions cuz I would agree with 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that<00:05:08.280> you<00:05:08.460> do<00:05:08.610> is<00:05:08.850> you<00:05:08.880> check<00:05:09.150> the 00:05:09.350 --> 00:05:09.360 align:start position:0% thing that you do is you check the 00:05:09.360 --> 00:05:10.490 align:start position:0% thing that you do is you check the blockchain<00:05:09.570> see<00:05:09.900> where 00:05:10.490 --> 00:05:10.500 align:start position:0% blockchain see where 00:05:10.500 --> 00:05:12.200 align:start position:0% blockchain see where DEFCON<00:05:10.800> so<00:05:10.980> I'll<00:05:11.070> say<00:05:11.220> three<00:05:11.490> check<00:05:12.120> the 00:05:12.200 --> 00:05:12.210 align:start position:0% DEFCON so I'll say three check the 00:05:12.210 --> 00:05:13.820 align:start position:0% DEFCON so I'll say three check the blockades<00:05:12.630> to<00:05:12.870> state<00:05:13.110> see<00:05:13.350> what's<00:05:13.560> going<00:05:13.740> on 00:05:13.820 --> 00:05:13.830 align:start position:0% blockades to state see what's going on 00:05:13.830 --> 00:05:16.010 align:start position:0% blockades to state see what's going on right<00:05:14.070> now<00:05:14.100> right<00:05:14.730> the<00:05:15.540> next<00:05:15.690> thing<00:05:15.780> that<00:05:15.960> you 00:05:16.010 --> 00:05:16.020 align:start position:0% right now right the next thing that you 00:05:16.020 --> 00:05:17.510 align:start position:0% right now right the next thing that you do<00:05:16.140> and<00:05:16.290> this<00:05:16.350> is<00:05:16.530> the<00:05:16.620> sort<00:05:16.800> of<00:05:16.860> layer<00:05:17.070> apart 00:05:17.510 --> 00:05:17.520 align:start position:0% do and this is the sort of layer apart 00:05:17.520 --> 00:05:19.580 align:start position:0% do and this is the sort of layer apart the<00:05:17.700> second<00:05:18.120> layer<00:05:18.300> is<00:05:18.900> you<00:05:19.140> get<00:05:19.290> some<00:05:19.470> local 00:05:19.580 --> 00:05:19.590 align:start position:0% the second layer is you get some local 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position:0% you make some kind of an assumption right<00:05:25.650> so<00:05:26.040> this<00:05:26.400> is<00:05:26.550> usually<00:05:26.760> of<00:05:27.000> the<00:05:27.030> form<00:05:27.360> I 00:05:27.500 --> 00:05:27.510 align:start position:0% right so this is usually of the form I 00:05:27.510 --> 00:05:29.570 align:start position:0% right so this is usually of the form I will<00:05:27.720> dispute<00:05:28.050> things<00:05:28.320> and<00:05:29.250> we'll<00:05:29.400> be<00:05:29.460> talking 00:05:29.570 --> 00:05:29.580 align:start position:0% will dispute things and we'll be talking 00:05:29.580 --> 00:05:30.710 align:start position:0% will dispute things and we'll be talking about<00:05:29.730> that<00:05:29.910> a<00:05:29.940> lot<00:05:30.090> here<00:05:30.270> but<00:05:30.390> there's<00:05:30.570> lots 00:05:30.710 --> 00:05:30.720 align:start position:0% about that a lot here but there's lots 00:05:30.720 --> 00:05:31.900 align:start position:0% about that a lot here but there's lots of<00:05:30.840> different<00:05:30.900> assumptions<00:05:31.440> you<00:05:31.500> can<00:05:31.620> name 00:05:31.900 --> 00:05:31.910 align:start position:0% of different assumptions you can name 00:05:31.910 --> 00:05:33.950 align:start position:0% of different assumptions you can name then<00:05:32.910> the<00:05:33.000> last<00:05:33.150> thing<00:05:33.360> you<00:05:33.420> do<00:05:33.570> is<00:05:33.720> you<00:05:33.840> make 00:05:33.950 --> 00:05:33.960 align:start position:0% then the last thing you do is you make 00:05:33.960 --> 00:05:36.980 align:start position:0% then the last thing you do is you make some<00:05:34.200> prediction<00:05:34.920> about<00:05:35.370> future<00:05:35.910> l2<00:05:36.270> state<00:05:36.540> so 00:05:36.980 --> 00:05:36.990 align:start position:0% some prediction about future l2 state so 00:05:36.990 --> 00:05:38.900 align:start position:0% some prediction about future l2 state so what<00:05:37.170> I<00:05:37.200> have<00:05:37.470> you<00:05:37.770> know<00:05:37.890> two<00:05:38.130> coins<00:05:38.460> in<00:05:38.790> a 00:05:38.900 --> 00:05:38.910 align:start position:0% what I have you know two coins in a 00:05:38.910 --> 00:05:40.610 align:start position:0% what I have you know two coins in a channel<00:05:39.300> what<00:05:39.600> this<00:05:39.720> means<00:05:39.930> as<00:05:40.140> I<00:05:40.260> believe<00:05:40.410> in 00:05:40.610 --> 00:05:40.620 align:start position:0% channel what this means as I believe in 00:05:40.620 --> 00:05:42.290 align:start position:0% channel what this means as I believe in the<00:05:40.710> future<00:05:40.860> I<00:05:41.280> will<00:05:41.700> be<00:05:41.820> able<00:05:41.940> to<00:05:42.180> withdraw 00:05:42.290 --> 00:05:42.300 align:start position:0% the future I will be able to withdraw 00:05:42.300 --> 00:05:44.320 align:start position:0% the future I will be able to withdraw two<00:05:42.780> coins<00:05:43.050> from<00:05:43.200> the<00:05:43.260> channel<00:05:43.620> it's<00:05:43.770> not 00:05:44.320 --> 00:05:44.330 align:start position:0% two coins from the channel it's not 00:05:44.330 --> 00:05:46.730 align:start position:0% two coins from the channel it's not really<00:05:45.330> anything<00:05:45.570> other<00:05:45.840> than<00:05:46.020> that<00:05:46.200> okay 00:05:46.730 --> 00:05:46.740 align:start position:0% really anything other than that okay 00:05:46.740 --> 00:05:48.470 align:start position:0% really anything other than that okay that's<00:05:47.340> so<00:05:47.550> like<00:05:47.640> an<00:05:47.760> example<00:05:48.000> of<00:05:48.180> this<00:05:48.300> or 00:05:48.470 --> 00:05:48.480 align:start position:0% that's so like an example of this or 00:05:48.480 --> 00:05:51.590 align:start position:0% that's so like an example of this or seychelles<00:05:48.900> I<00:05:49.670> see<00:05:50.670> on<00:05:50.820> check<00:05:51.120> verify<00:05:51.540> these 00:05:51.590 --> 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usually 00:05:58.080 --> 00:05:59.780 align:start position:0% size science of a certain state usually the<00:05:58.350> one<00:05:58.470> with<00:05:58.590> the<00:05:58.650> highest<00:05:58.860> nonce<00:05:59.280> right<00:05:59.670> and 00:05:59.780 --> 00:05:59.790 align:start position:0% the one with the highest nonce right and 00:05:59.790 --> 00:06:01.280 align:start position:0% the one with the highest nonce right and you're<00:05:59.880> sort<00:06:00.000> of<00:06:00.090> traditional<00:06:00.870> aetherium 00:06:01.280 --> 00:06:01.290 align:start position:0% you're sort of traditional aetherium 00:06:01.290 --> 00:06:04.400 align:start position:0% you're sort of traditional aetherium style<00:06:01.560> and<00:06:01.770> channel<00:06:02.190> i<00:06:02.690> make<00:06:03.690> the<00:06:03.810> assumption 00:06:04.400 --> 00:06:04.410 align:start position:0% style and channel i make the assumption 00:06:04.410 --> 00:06:05.990 align:start position:0% style and channel i make the assumption that<00:06:04.440> if<00:06:04.740> someone<00:06:05.010> tries<00:06:05.100> to<00:06:05.220> drop<00:06:05.550> an<00:06:05.730> older 00:06:05.990 --> 00:06:06.000 align:start position:0% that if someone tries to drop an older 00:06:06.000 --> 00:06:07.130 align:start position:0% that if someone tries to drop an older state<00:06:06.210> I'm<00:06:06.419> gonna<00:06:06.570> go<00:06:06.660> in<00:06:06.750> to<00:06:06.840> bring<00:06:07.020> that 00:06:07.130 --> 00:06:07.140 align:start position:0% state I'm gonna go in to bring that 00:06:07.140 --> 00:06:09.620 align:start position:0% state I'm gonna go in to bring that state<00:06:07.380> forward<00:06:07.770> and<00:06:07.919> dispute<00:06:08.280> it<00:06:08.400> and<00:06:08.880> they 00:06:09.620 --> 00:06:09.630 align:start position:0% state forward and dispute it and they 00:06:09.630 --> 00:06:11.420 align:start position:0% state forward and dispute it and they saw<00:06:09.810> that<00:06:09.840> loads<00:06:10.410> through<00:06:10.620> things<00:06:10.890> I<00:06:11.220> can<00:06:11.400> make 00:06:11.420 --> 00:06:11.430 align:start position:0% saw that loads through things I can make 00:06:11.430 --> 00:06:12.830 align:start position:0% saw that loads through things I can make an<00:06:11.700> assumption<00:06:12.000> based<00:06:12.270> on<00:06:12.450> that<00:06:12.570> of<00:06:12.660> course 00:06:12.830 --> 00:06:12.840 align:start position:0% an assumption based on that of course 00:06:12.840 --> 00:06:14.150 align:start position:0% an assumption based on that of course something<00:06:13.080> that<00:06:13.590> I<00:06:13.620> will<00:06:13.860> be<00:06:13.890> able<00:06:14.040> to 00:06:14.150 --> 00:06:14.160 align:start position:0% something that I will be able to 00:06:14.160 --> 00:06:16.010 align:start position:0% something that I will be able to withdraw<00:06:14.340> according<00:06:15.000> to<00:06:15.060> the<00:06:15.150> state<00:06:15.330> s<00:06:15.480> okay 00:06:16.010 --> 00:06:16.020 align:start position:0% withdraw according to the state s okay 00:06:16.020 --> 00:06:17.210 align:start position:0% withdraw according to the state s okay does<00:06:16.500> that<00:06:16.530> make<00:06:16.650> sense<00:06:16.950> to<00:06:17.040> everyone 00:06:17.210 --> 00:06:17.220 align:start position:0% does that make sense to everyone 00:06:17.220 --> 00:06:20.000 align:start position:0% does that make sense to everyone questions<00:06:17.760> comments<00:06:18.300> concerns<00:06:18.650> okay<00:06:19.650> I'm 00:06:20.000 --> 00:06:20.010 align:start position:0% questions comments concerns okay I'm 00:06:20.010 --> 00:06:21.290 align:start position:0% questions comments concerns okay I'm going<00:06:20.100> to<00:06:20.160> need<00:06:20.250> questions<00:06:20.669> at<00:06:20.760> some<00:06:20.910> point<00:06:21.120> so 00:06:21.290 --> 00:06:21.300 align:start position:0% going to need questions at some point so 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that we can make around this<00:06:27.750> which<00:06:28.290> are<00:06:28.410> very<00:06:28.530> reminiscent<00:06:28.800> of<00:06:29.040> like 00:06:29.210 --> 00:06:29.220 align:start position:0% this which are very reminiscent of like 00:06:29.220 --> 00:06:31.280 align:start position:0% this which are very reminiscent of like things<00:06:29.729> of<00:06:29.850> the<00:06:29.910> CBC<00:06:30.180> future<00:06:30.600> so<00:06:30.990> here's<00:06:31.169> the 00:06:31.280 --> 00:06:31.290 align:start position:0% things of the CBC future so here's the 00:06:31.290 --> 00:06:33.290 align:start position:0% things of the CBC future so here's the interior<00:06:31.470> watching<00:06:32.100> right<00:06:32.400> so<00:06:32.669> here<00:06:32.880> like<00:06:33.090> the 00:06:33.290 --> 00:06:33.300 align:start position:0% interior watching right so here like the 00:06:33.300 --> 00:06:35.089 align:start position:0% interior watching right so here like the universe<00:06:33.630> or<00:06:33.780> the 00:06:35.089 --> 00:06:35.099 align:start position:0% universe or the 00:06:35.099 --> 00:06:36.710 align:start position:0% universe or the and<00:06:35.580> based<00:06:35.759> on<00:06:35.879> that<00:06:35.940> sit<00:06:36.270> there's<00:06:36.479> some 00:06:36.710 --> 00:06:36.720 align:start position:0% and based on that sit there's some 00:06:36.720 --> 00:06:38.659 align:start position:0% and based on that sit there's some subset<00:06:37.379> on<00:06:37.590> the<00:06:37.650> next<00:06:37.979> blocks<00:06:38.250> that<00:06:38.490> come<00:06:38.580> up 00:06:38.659 --> 00:06:38.669 align:start position:0% subset on the next blocks that come up 00:06:38.669 --> 00:06:41.029 align:start position:0% subset on the next blocks that come up here<00:06:38.699> right<00:06:39.120> these<00:06:39.330> are<00:06:39.360> here<00:06:39.720> and<00:06:39.960> based<00:06:40.860> on 00:06:41.029 --> 00:06:41.039 align:start position:0% here right these are here and based on 00:06:41.039 --> 00:06:43.399 align:start position:0% here right these are here and based on the<00:06:41.310> details<00:06:41.699> of<00:06:41.789> the<00:06:41.849> um<00:06:42.240> you<00:06:42.659> know<00:06:42.690> maybe<00:06:42.960> you 00:06:43.399 --> 00:06:43.409 align:start position:0% the details of the um you know maybe you 00:06:43.409 --> 00:06:45.110 align:start position:0% the details of the um you know maybe you can't<00:06:43.650> unlearn<00:06:44.039> money<00:06:44.340> for<00:06:44.580> example<00:06:44.940> if<00:06:45.030> you 00:06:45.110 --> 00:06:45.120 align:start position:0% can't unlearn money for example if you 00:06:45.120 --> 00:06:46.610 align:start position:0% can't unlearn money for example if you set<00:06:45.330> up<00:06:45.360> the<00:06:45.569> zero<00:06:45.750> address<00:06:46.110> it<00:06:46.259> can't<00:06:46.440> come 00:06:46.610 --> 00:06:46.620 align:start position:0% set up the zero address it can't come 00:06:46.620 --> 00:06:48.770 align:start position:0% set up the zero address it can't come back<00:06:46.770> but<00:06:47.699> it<00:06:47.849> can<00:06:48.060> be<00:06:48.210> sent<00:06:48.389> to<00:06:48.479> this<00:06:48.629> your 00:06:48.770 --> 00:06:48.780 align:start position:0% back but it can be sent to this your 00:06:48.780 --> 00:06:50.330 align:start position:0% back but it can be sent to this your address<00:06:49.169> if<00:06:49.379> it<00:06:49.470> hasn't<00:06:49.620> already<00:06:49.860> so<00:06:50.159> here's 00:06:50.330 --> 00:06:50.340 align:start position:0% address if it hasn't already so here's 00:06:50.340 --> 00:06:52.339 align:start position:0% address if it hasn't already so here's somebody<00:06:50.639> being<00:06:50.819> burned<00:06:51.090> and<00:06:51.479> now<00:06:51.810> you<00:06:52.229> know 00:06:52.339 --> 00:06:52.349 align:start position:0% somebody being burned and now you know 00:06:52.349 --> 00:06:53.659 align:start position:0% somebody being burned and now you know that<00:06:52.470> these<00:06:52.620> states<00:06:52.860> are<00:06:52.949> no<00:06:53.039> longer<00:06:53.220> possible 00:06:53.659 --> 00:06:53.669 align:start position:0% that these states are no longer possible 00:06:53.669 --> 00:06:55.040 align:start position:0% that these states are no longer possible because<00:06:54.060> this<00:06:54.330> is<00:06:54.479> the<00:06:54.569> one<00:06:54.690> that<00:06:54.840> just<00:06:55.020> got 00:06:55.040 --> 00:06:55.050 align:start position:0% because this is the one that just got 00:06:55.050 --> 00:06:58.070 align:start position:0% because this is the one that just got mine<00:06:55.319> right<00:06:55.560> and<00:06:56.129> so<00:06:56.310> he<00:06:56.490> beyond<00:06:56.930> you<00:06:57.930> know 00:06:58.070 --> 00:06:58.080 align:start position:0% mine right and so he beyond you know 00:06:58.080 --> 00:06:59.450 align:start position:0% mine right and so he beyond you know consensus<00:06:58.620> algorithm<00:06:58.860> that<00:06:59.099> we<00:06:59.250> call<00:06:59.430> a 00:06:59.450 --> 00:06:59.460 align:start position:0% consensus algorithm that we call a 00:06:59.460 --> 00:07:01.159 align:start position:0% consensus algorithm that we call a theory<00:06:59.819> in<00:06:59.940> themselves<00:07:00.270> and<00:07:00.449> either<00:07:00.659> is 00:07:01.159 --> 00:07:01.169 align:start position:0% theory in themselves and either is 00:07:01.169 --> 00:07:03.110 align:start position:0% theory in themselves and either is progressing<00:07:01.800> through<00:07:02.039> this<00:07:02.129> futurist<00:07:02.849> cover 00:07:03.110 --> 00:07:03.120 align:start position:0% progressing through this futurist cover 00:07:03.120 --> 00:07:05.029 align:start position:0% progressing through this futurist cover of<00:07:03.270> the<00:07:03.360> material<00:07:03.840> right<00:07:04.020> which<00:07:04.229> is<00:07:04.379> say<00:07:04.500> sort 00:07:05.029 --> 00:07:05.039 align:start position:0% of the material right which is say sort 00:07:05.039 --> 00:07:07.640 align:start position:0% of the material right which is say sort of<00:07:05.129> borrowed<00:07:05.400> from<00:07:05.520> physics<00:07:06.229> you<00:07:07.229> know<00:07:07.259> for 00:07:07.640 --> 00:07:07.650 align:start position:0% of borrowed from physics you know for 00:07:07.650 --> 00:07:08.990 align:start position:0% of borrowed from physics you know for all<00:07:07.740> that<00:07:07.919> the<00:07:07.979> mean<00:07:08.159> is<00:07:08.340> not<00:07:08.460> giving<00:07:08.759> that 00:07:08.990 --> 00:07:09.000 align:start position:0% all that the mean is not giving that 00:07:09.000 --> 00:07:12.080 align:start position:0% all that the mean is not giving that goes<00:07:09.360> into<00:07:09.659> it<00:07:09.720> and<00:07:10.729> this<00:07:11.729> is<00:07:11.849> what<00:07:11.970> we're 00:07:12.080 --> 00:07:12.090 align:start position:0% goes into it and this is what we're 00:07:12.090 --> 00:07:13.399 align:start position:0% goes into it and this is what we're doing<00:07:12.210> right<00:07:12.539> so<00:07:12.720> this<00:07:12.840> is<00:07:12.900> one<00:07:13.110> thing<00:07:13.289> that 00:07:13.399 --> 00:07:13.409 align:start position:0% doing right so this is one thing that 00:07:13.409 --> 00:07:14.540 align:start position:0% doing right so this is one thing that happens<00:07:13.740> what's<00:07:14.039> the<00:07:14.159> only<00:07:14.220> thing<00:07:14.340> that 00:07:14.540 --> 00:07:14.550 align:start position:0% happens what's the only thing that 00:07:14.550 --> 00:07:16.550 align:start position:0% happens what's the only thing that happens<00:07:14.900> the<00:07:15.900> other<00:07:15.930> thing<00:07:16.139> that<00:07:16.169> happens<00:07:16.500> is 00:07:16.550 --> 00:07:16.560 align:start position:0% happens the other thing that happens is 00:07:16.560 --> 00:07:18.620 align:start position:0% happens the other thing that happens is we<00:07:16.710> have<00:07:16.740> this<00:07:16.860> local<00:07:17.340> information<00:07:17.490> write<00:07:18.419> us 00:07:18.620 --> 00:07:18.630 align:start position:0% we have this local information write us 00:07:18.630 --> 00:07:19.730 align:start position:0% we have this local information write us about<00:07:18.750> our<00:07:19.020> passing<00:07:19.349> things<00:07:19.500> around 00:07:19.730 --> 00:07:19.740 align:start position:0% about our passing things around 00:07:19.740 --> 00:07:21.950 align:start position:0% about our passing things around signatures<00:07:20.370> inclusion<00:07:20.909> proofs<00:07:21.150> we've<00:07:21.840> got 00:07:21.950 --> 00:07:21.960 align:start position:0% signatures inclusion proofs we've got 00:07:21.960 --> 00:07:24.290 align:start position:0% signatures inclusion proofs we've got local<00:07:22.139> information<00:07:22.470> to<00:07:23.310> yeah<00:07:23.430> it's<00:07:23.699> off<00:07:23.940> chain 00:07:24.290 --> 00:07:24.300 align:start position:0% local information to yeah it's off chain 00:07:24.300 --> 00:07:27.320 align:start position:0% local information to yeah it's off chain right<00:07:25.400> okay<00:07:26.400> the<00:07:26.520> last<00:07:26.639> thing<00:07:26.759> that<00:07:26.880> we<00:07:27.030> do<00:07:27.150> is 00:07:27.320 --> 00:07:27.330 align:start position:0% right okay the last thing that we do is 00:07:27.330 --> 00:07:29.510 align:start position:0% right okay the last thing that we do is we<00:07:27.449> make<00:07:27.599> some<00:07:27.750> assumptions<00:07:28.020> right<00:07:28.560> so<00:07:29.159> the 00:07:29.510 --> 00:07:29.520 align:start position:0% we make some assumptions right so the 00:07:29.520 --> 00:07:31.339 align:start position:0% we make some assumptions right so the EDM<00:07:29.909> set<00:07:30.150> that<00:07:30.360> says<00:07:30.539> that<00:07:30.719> some<00:07:30.930> set<00:07:31.199> of 00:07:31.339 --> 00:07:31.349 align:start position:0% EDM set that says that some set of 00:07:31.349 --> 00:07:33.080 align:start position:0% EDM set that says that some set of future<00:07:31.530> states<00:07:31.979> are<00:07:32.190> possible<00:07:32.370> right<00:07:32.879> this<00:07:33.030> is 00:07:33.080 --> 00:07:33.090 align:start position:0% future states are possible right this is 00:07:33.090 --> 00:07:35.540 align:start position:0% future states are possible right this is a<00:07:33.120> pretty<00:07:33.270> large<00:07:33.509> set<00:07:33.960> and<00:07:34.259> what<00:07:34.860> I<00:07:34.889> do<00:07:35.039> as 00:07:35.540 --> 00:07:35.550 align:start position:0% a pretty large set and what I do as 00:07:35.550 --> 00:07:36.920 align:start position:0% a pretty large set and what I do as someone<00:07:36.090> who's<00:07:36.240> trying<00:07:36.539> to<00:07:36.629> make<00:07:36.719> a 00:07:36.920 --> 00:07:36.930 align:start position:0% someone who's trying to make a 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inherent to the EDM okay so here imagine<00:07:44.159> sort<00:07:44.400> of<00:07:44.430> to<00:07:44.639> force<00:07:45.000> of<00:07:45.240> the<00:07:45.330> botching 00:07:45.740 --> 00:07:45.750 align:start position:0% imagine sort of to force of the botching 00:07:45.750 --> 00:07:48.050 align:start position:0% imagine sort of to force of the botching right<00:07:46.080> so<00:07:46.349> so<00:07:46.800> imagine<00:07:47.430> that<00:07:47.460> we're<00:07:47.669> at<00:07:47.880> a 00:07:48.050 --> 00:07:48.060 align:start position:0% right so so imagine that we're at a 00:07:48.060 --> 00:07:49.399 align:start position:0% right so so imagine that we're at a state<00:07:48.330> right<00:07:48.479> here<00:07:48.539> and<00:07:48.960> someone<00:07:49.259> it 00:07:49.399 --> 00:07:49.409 align:start position:0% state right here and someone it 00:07:49.409 --> 00:07:50.920 align:start position:0% state right here and someone it maliciously<00:07:49.710> tries<00:07:50.159> to<00:07:50.279> withdraw<00:07:50.550> some<00:07:50.610> money 00:07:50.920 --> 00:07:50.930 align:start position:0% maliciously tries to withdraw some money 00:07:50.930 --> 00:07:54.320 align:start position:0% maliciously tries to withdraw some money okay<00:07:51.930> I<00:07:52.169> will<00:07:53.039> assume<00:07:53.370> if<00:07:53.789> I<00:07:53.880> have<00:07:54.060> a<00:07:54.090> channel 00:07:54.320 --> 00:07:54.330 align:start position:0% okay I will assume if I have a channel 00:07:54.330 --> 00:07:55.670 align:start position:0% okay I will assume if I have a channel talents<00:07:54.750> and<00:07:54.870> I'm<00:07:54.930> trusting<00:07:55.169> that<00:07:55.409> I<00:07:55.560> have<00:07:55.650> a 00:07:55.670 --> 00:07:55.680 align:start position:0% talents and I'm trusting that I have a 00:07:55.680 --> 00:07:57.110 align:start position:0% talents and I'm trusting that I have a channel<00:07:55.889> balance<00:07:56.069> that<00:07:56.370> it's<00:07:56.490> so<00:07:56.699> put<00:07:56.940> in<00:07:57.090> the 00:07:57.110 --> 00:07:57.120 align:start position:0% channel balance that it's so put in the 00:07:57.120 --> 00:07:59.600 align:start position:0% channel balance that it's so put in the future<00:07:57.509> this<00:07:58.199> thing<00:07:58.560> will<00:07:58.860> get<00:07:58.979> disputed 00:07:59.600 --> 00:07:59.610 align:start position:0% future this thing will get disputed 00:07:59.610 --> 00:08:02.059 align:start position:0% future this thing will get disputed right<00:08:00.300> so<00:08:01.169> what<00:08:01.409> that<00:08:01.529> means<00:08:01.740> is<00:08:01.919> basically 00:08:02.059 --> 00:08:02.069 align:start position:0% right so what that means is basically 00:08:02.069 --> 00:08:03.589 align:start position:0% right so what that means is basically what<00:08:02.370> entities<00:08:02.550> I'm<00:08:02.789> looking<00:08:03.060> at<00:08:03.120> any<00:08:03.330> such 00:08:03.589 --> 00:08:03.599 align:start position:0% what entities I'm looking at any such 00:08:03.599 --> 00:08:05.059 align:start position:0% what entities I'm looking at any such chain<00:08:03.870> that<00:08:04.050> where<00:08:04.199> no<00:08:04.349> disputes<00:08:04.800> have 00:08:05.059 --> 00:08:05.069 align:start position:0% chain that where no disputes have 00:08:05.069 --> 00:08:07.459 align:start position:0% chain that where no disputes have occurred<00:08:05.400> and<00:08:05.699> I<00:08:06.419> say<00:08:06.659> I<00:08:06.900> don't<00:08:06.930> believe<00:08:07.169> that 00:08:07.459 --> 00:08:07.469 align:start position:0% occurred and I say I don't believe that 00:08:07.469 --> 00:08:08.290 align:start position:0% occurred and I say I don't believe that this<00:08:07.830> is<00:08:07.979> going 00:08:08.290 --> 00:08:08.300 align:start position:0% this is going 00:08:08.300 --> 00:08:09.790 align:start position:0% this is going happen<00:08:08.659> it's<00:08:08.840> an<00:08:08.960> assumption<00:08:09.409> it's<00:08:09.710> an 00:08:09.790 --> 00:08:09.800 align:start position:0% happen it's an assumption it's an 00:08:09.800 --> 00:08:12.850 align:start position:0% happen it's an assumption it's an additional<00:08:10.460> quality<00:08:10.940> of<00:08:11.240> the<00:08:11.569> statement<00:08:11.960> and 00:08:12.850 --> 00:08:12.860 align:start position:0% additional quality of the statement and 00:08:12.860 --> 00:08:14.020 align:start position:0% additional quality of the statement and it's<00:08:13.009> an<00:08:13.099> assumption<00:08:13.370> that<00:08:13.520> you<00:08:13.699> make<00:08:13.879> the 00:08:14.020 --> 00:08:14.030 align:start position:0% it's an assumption that you make the 00:08:14.030 --> 00:08:17.200 align:start position:0% it's an assumption that you make the valid<00:08:14.300> mistake<00:08:14.569> right<00:08:15.610> so<00:08:16.610> we<00:08:16.759> can<00:08:16.879> find<00:08:17.060> those 00:08:17.200 --> 00:08:17.210 align:start position:0% valid mistake right so we can find those 00:08:17.210 --> 00:08:18.820 align:start position:0% valid mistake right so we can find those two<00:08:17.270> things<00:08:17.599> we<00:08:18.229> did<00:08:18.409> something<00:08:18.620> like<00:08:18.710> this 00:08:18.820 --> 00:08:18.830 align:start position:0% two things we did something like this 00:08:18.830 --> 00:08:20.559 align:start position:0% two things we did something like this right<00:08:19.340> you<00:08:19.490> have<00:08:19.580> the<00:08:19.699> finalized<00:08:20.060> box<00:08:20.360> that<00:08:20.509> we 00:08:20.559 --> 00:08:20.569 align:start position:0% right you have the finalized box that we 00:08:20.569 --> 00:08:22.719 align:start position:0% right you have the finalized box that we saw<00:08:20.599> before<00:08:21.099> right<00:08:22.099> behind<00:08:22.340> me<00:08:22.490> we<00:08:22.610> have<00:08:22.639> the 00:08:22.719 --> 00:08:22.729 align:start position:0% saw before right behind me we have the 00:08:22.729 --> 00:08:24.969 align:start position:0% saw before right behind me we have the same<00:08:22.970> as<00:08:23.090> here<00:08:23.240> in<00:08:23.360> futures<00:08:23.690> comes<00:08:23.870> before<00:08:24.110> but 00:08:24.969 --> 00:08:24.979 align:start position:0% same as here in futures comes before but 00:08:24.979 --> 00:08:29.110 align:start position:0% same as here in futures comes before but now<00:08:25.389> based<00:08:26.389> on<00:08:26.659> this<00:08:27.050> layer<00:08:27.349> right<00:08:28.250> so<00:08:28.849> these 00:08:29.110 --> 00:08:29.120 align:start position:0% now based on this layer right so these 00:08:29.120 --> 00:08:30.399 align:start position:0% now based on this layer right so these things<00:08:29.330> which<00:08:29.539> are<00:08:29.659> possible<00:08:30.110> a<00:08:30.169> part<00:08:30.379> of 00:08:30.399 --> 00:08:30.409 align:start position:0% things which are possible a part of 00:08:30.409 --> 00:08:32.800 align:start position:0% things which are possible a part of India<00:08:30.590> are<00:08:31.490> no<00:08:31.819> longer<00:08:32.149> possible<00:08:32.329> according 00:08:32.800 --> 00:08:32.810 align:start position:0% India are no longer possible according 00:08:32.810 --> 00:08:34.389 align:start position:0% India are no longer possible according to<00:08:32.959> my<00:08:33.079> assumptions<00:08:33.560> because<00:08:33.829> I<00:08:34.010> believe<00:08:34.279> that 00:08:34.389 --> 00:08:34.399 align:start position:0% to my assumptions because I believe that 00:08:34.399 --> 00:08:35.529 align:start position:0% to my assumptions because I believe that I'm<00:08:34.490> going<00:08:34.519> to<00:08:34.669> do<00:08:34.789> something<00:08:35.060> about<00:08:35.240> them 00:08:35.529 --> 00:08:35.539 align:start position:0% I'm going to do something about them 00:08:35.539 --> 00:08:38.259 align:start position:0% I'm going to do something about them that's<00:08:35.870> usually<00:08:36.140> the<00:08:36.380> assumption<00:08:36.890> right<00:08:37.279> and 00:08:38.259 --> 00:08:38.269 align:start position:0% that's usually the assumption right and 00:08:38.269 --> 00:08:39.880 align:start position:0% that's usually the assumption right and this<00:08:38.360> is<00:08:38.479> what<00:08:38.570> we<00:08:38.659> see<00:08:38.810> and<00:08:39.050> furthermore<00:08:39.589> one 00:08:39.880 --> 00:08:39.890 align:start position:0% this is what we see and furthermore one 00:08:39.890 --> 00:08:40.839 align:start position:0% this is what we see and furthermore one of<00:08:39.979> the<00:08:40.039> things<00:08:40.219> that<00:08:40.339> gives<00:08:40.459> us<00:08:40.579> the<00:08:40.700> great 00:08:40.839 --> 00:08:40.849 align:start position:0% of the things that gives us the great 00:08:40.849 --> 00:08:42.850 align:start position:0% of the things that gives us the great scalability<00:08:41.570> I<00:08:41.750> etherion<00:08:42.409> is<00:08:42.529> that<00:08:42.680> these 00:08:42.850 --> 00:08:42.860 align:start position:0% scalability I etherion is that these 00:08:42.860 --> 00:08:45.250 align:start position:0% scalability I etherion is that these this<00:08:43.130> pump<00:08:43.430> does<00:08:43.880> not<00:08:44.029> just<00:08:44.240> restrict<00:08:44.630> as 00:08:45.250 --> 00:08:45.260 align:start position:0% this pump does not just restrict as 00:08:45.260 --> 00:08:47.410 align:start position:0% this pump does not just restrict as newbucks<00:08:45.800> about<00:08:46.160> it<00:08:46.370> actually<00:08:46.820> restricts<00:08:47.240> as 00:08:47.410 --> 00:08:47.420 align:start position:0% newbucks about it actually restricts as 00:08:47.420 --> 00:08:49.509 align:start position:0% newbucks about it actually restricts as messages<00:08:48.079> are<00:08:48.200> passed<00:08:48.410> around<00:08:48.560> so<00:08:49.130> if<00:08:49.250> I<00:08:49.339> get<00:08:49.490> a 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00:09:04.790 --> 00:09:08.230 align:start position:0% yes not excellent questions I got a question<00:09:05.180> yes<00:09:05.510> castle<00:09:06.370> there<00:09:07.370> you<00:09:07.430> go 00:09:08.230 --> 00:09:08.240 align:start position:0% question yes castle there you go 00:09:08.240 --> 00:09:10.210 align:start position:0% question yes castle there you go why<00:09:08.720> can<00:09:08.930> we<00:09:09.050> assume<00:09:09.320> that<00:09:09.620> that's<00:09:09.860> going<00:09:10.130> to 00:09:10.210 --> 00:09:10.220 align:start position:0% why can we assume that that's going to 00:09:10.220 --> 00:09:12.070 align:start position:0% why can we assume that that's going to be<00:09:10.339> missed 00:09:12.070 --> 00:09:12.080 align:start position:0% be missed 00:09:12.080 --> 00:09:14.420 align:start position:0% be missed it's<00:09:13.080> content<00:09:13.290> but<00:09:13.620> lightning<00:09:13.950> is<00:09:14.070> that 00:09:14.420 --> 00:09:14.430 align:start position:0% it's content but lightning is that 00:09:14.430 --> 00:09:15.710 align:start position:0% it's content but lightning is that someone<00:09:14.730> doesn't<00:09:15.060> have<00:09:15.090> an<00:09:15.270> outside 00:09:15.710 --> 00:09:15.720 align:start position:0% someone doesn't have an outside 00:09:15.720 --> 00:09:17.780 align:start position:0% someone doesn't have an outside motivation<00:09:16.320> not<00:09:16.500> to<00:09:16.560> result 00:09:17.780 --> 00:09:17.790 align:start position:0% motivation not to result 00:09:17.790 --> 00:09:19.790 align:start position:0% motivation not to result correct<00:09:18.060> say<00:09:18.300> ah<00:09:19.050> so<00:09:19.470> that's<00:09:19.620> a<00:09:19.680> great 00:09:19.790 --> 00:09:19.800 align:start position:0% correct say ah so that's a great 00:09:19.800 --> 00:09:21.980 align:start position:0% correct say ah so that's a great question<00:09:19.860> and<00:09:20.430> so<00:09:20.850> you<00:09:21.120> know<00:09:21.210> extra<00:09:21.600> protocol 00:09:21.980 --> 00:09:21.990 align:start position:0% question and so you know extra protocol 00:09:21.990 --> 00:09:23.570 align:start position:0% question and so you know extra protocol incentives<00:09:22.470> I<00:09:22.590> talked<00:09:22.830> a<00:09:22.950> lot<00:09:23.070> about<00:09:23.220> even 00:09:23.570 --> 00:09:23.580 align:start position:0% incentives I talked a lot about even 00:09:23.580 --> 00:09:26.120 align:start position:0% incentives I talked a lot about even later<00:09:23.820> on<00:09:24.090> and<00:09:24.300> certainly<00:09:24.450> in<00:09:24.690> layer<00:09:24.870> 2<00:09:25.130> and 00:09:26.120 --> 00:09:26.130 align:start position:0% later on and certainly in layer 2 and 00:09:26.130 --> 00:09:27.650 align:start position:0% later on and certainly in layer 2 and they're<00:09:26.310> not<00:09:26.490> to<00:09:26.640> bury<00:09:26.820> a<00:09:26.880> research<00:09:27.210> and<00:09:27.540> we 00:09:27.650 --> 00:09:27.660 align:start position:0% they're not to bury a research and we 00:09:27.660 --> 00:09:28.850 align:start position:0% they're not to bury a research and we need<00:09:27.810> to<00:09:27.900> continue<00:09:28.260> researching<00:09:28.650> these 00:09:28.850 --> 00:09:28.860 align:start position:0% need to continue researching these 00:09:28.860 --> 00:09:33.110 align:start position:0% need to continue researching these things<00:09:29.360> in<00:09:30.360> general<00:09:30.630> however<00:09:31.050> we<00:09:32.000> we<00:09:33.000> believe 00:09:33.110 --> 00:09:33.120 align:start position:0% things in general however we we believe 00:09:33.120 --> 00:09:34.910 align:start position:0% things in general however we we believe this<00:09:33.450> because<00:09:33.960> we<00:09:34.200> think<00:09:34.350> that<00:09:34.440> black<00:09:34.710> chicks 00:09:34.910 --> 00:09:34.920 align:start position:0% this because we think that black chicks 00:09:34.920 --> 00:09:36.920 align:start position:0% this because we think that black chicks are<00:09:35.100> meant<00:09:35.430> to<00:09:35.520> be<00:09:35.700> sensitive<00:09:36.270> system<00:09:36.600> so 00:09:36.920 --> 00:09:36.930 align:start position:0% are meant to be sensitive system so 00:09:36.930 --> 00:09:39.620 align:start position:0% are meant to be sensitive system so usually<00:09:37.500> in<00:09:37.590> layer<00:09:37.740> 2<00:09:37.980> we<00:09:38.430> use<00:09:38.790> the<00:09:39.210> properties 00:09:39.620 --> 00:09:39.630 align:start position:0% usually in layer 2 we use the properties 00:09:39.630 --> 00:09:41.810 align:start position:0% usually in layer 2 we use the properties that<00:09:39.660> we're<00:09:39.900> assuming<00:09:40.080> that<00:09:40.260> l1<00:09:40.680> fulfills<00:09:41.040> to 00:09:41.810 --> 00:09:41.820 align:start position:0% that we're assuming that l1 fulfills to 00:09:41.820 --> 00:09:44.090 align:start position:0% that we're assuming that l1 fulfills to make<00:09:42.030> our<00:09:42.240> assumptions<00:09:42.690> sound<00:09:42.960> reasonable<00:09:43.500> so 00:09:44.090 --> 00:09:44.100 align:start position:0% make our assumptions sound reasonable so 00:09:44.100 --> 00:09:46.010 align:start position:0% make our assumptions sound reasonable so you<00:09:44.190> go<00:09:44.610> through<00:09:44.760> the<00:09:44.880> work<00:09:45.090> world<00:09:45.300> right<00:09:45.780> we 00:09:46.010 --> 00:09:46.020 align:start position:0% you go through the work world right we 00:09:46.020 --> 00:09:47.360 align:start position:0% you go through the work world right we have<00:09:46.140> this<00:09:46.290> decentralized<00:09:46.650> Network<00:09:47.160> where 00:09:47.360 --> 00:09:47.370 align:start position:0% have this decentralized Network where 00:09:47.370 --> 00:09:49.010 align:start position:0% have this decentralized Network where anyone<00:09:47.670> can<00:09:47.790> start<00:09:48.060> you<00:09:48.390> know<00:09:48.510> bringing<00:09:48.840> some 00:09:49.010 --> 00:09:49.020 align:start position:0% anyone can start you know bringing some 00:09:49.020 --> 00:09:51.170 align:start position:0% anyone can start you know bringing some electricity<00:09:49.320> to<00:09:49.740> my<00:09:49.860> nook<00:09:50.190> and<00:09:50.760> because 00:09:51.170 --> 00:09:51.180 align:start position:0% electricity to my nook and because 00:09:51.180 --> 00:09:52.280 align:start position:0% electricity to my nook and because anyone<00:09:51.450> of<00:09:51.510> the<00:09:51.570> world<00:09:51.780> is<00:09:51.870> going<00:09:51.990> to<00:09:52.050> do<00:09:52.140> that 00:09:52.280 --> 00:09:52.290 align:start position:0% anyone of the world is going to do that 00:09:52.290 --> 00:09:54.200 align:start position:0% anyone of the world is going to do that I<00:09:52.470> have<00:09:52.560> my<00:09:52.680> fingers<00:09:53.040> crossed<00:09:53.130> that<00:09:53.640> in<00:09:54.150> the 00:09:54.200 --> 00:09:54.210 align:start position:0% I have my fingers crossed that in the 00:09:54.210 --> 00:09:55.580 align:start position:0% I have my fingers crossed that in the next<00:09:54.510> you<00:09:54.690> know<00:09:54.720> whatever<00:09:55.050> the<00:09:55.260> dispute 00:09:55.580 --> 00:09:55.590 align:start position:0% next you know whatever the dispute 00:09:55.590 --> 00:09:57.740 align:start position:0% next you know whatever the dispute period<00:09:55.950> as<00:09:56.160> the<00:09:56.250> blocks<00:09:56.520> are<00:09:56.790> at<00:09:57.210> least<00:09:57.360> one<00:09:57.660> of 00:09:57.740 --> 00:09:57.750 align:start position:0% period as the blocks are at least one of 00:09:57.750 --> 00:09:59.450 align:start position:0% period as the blocks are at least one of those<00:09:57.900> people<00:09:58.230> aren't<00:09:58.410> had<00:09:58.560> to<00:09:58.710> be<00:09:58.830> willing<00:09:59.280> to 00:09:59.450 --> 00:09:59.460 align:start position:0% those people aren't had to be willing to 00:09:59.460 --> 00:10:01.610 align:start position:0% those people aren't had to be willing to accept<00:09:59.730> my<00:09:59.970> transaction<00:10:00.630> now<00:10:01.110> that's<00:10:01.290> not<00:10:01.440> we 00:10:01.610 --> 00:10:01.620 align:start position:0% accept my transaction now that's not we 00:10:01.620 --> 00:10:03.080 align:start position:0% accept my transaction now that's not we said<00:10:01.860> that<00:10:02.130> there<00:10:02.250> aren't<00:10:02.460> like<00:10:02.580> important 00:10:03.080 --> 00:10:03.090 align:start position:0% said that there aren't like important 00:10:03.090 --> 00:10:04.490 align:start position:0% said that there aren't like important nuances<00:10:03.480> to<00:10:03.540> be<00:10:03.690> analysed<00:10:04.050> here 00:10:04.490 --> 00:10:04.500 align:start position:0% nuances to be analysed here 00:10:04.500 --> 00:10:06.890 align:start position:0% nuances to be analysed here so<00:10:04.860> one<00:10:05.250> one-line<00:10:06.030> critical<00:10:06.360> example<00:10:06.630> of<00:10:06.780> this 00:10:06.890 --> 00:10:06.900 align:start position:0% so one one-line critical example of this 00:10:06.900 --> 00:10:08.270 align:start position:0% so one one-line critical example of this that<00:10:07.050> we<00:10:07.110> have<00:10:07.140> to<00:10:07.260> be<00:10:07.380> careful<00:10:07.680> about<00:10:07.740> is<00:10:08.040> what 00:10:08.270 --> 00:10:08.280 align:start position:0% that we have to be careful about is what 00:10:08.280 --> 00:10:10.370 align:start position:0% that we have to be careful about is what if<00:10:08.400> the<00:10:08.430> dispute<00:10:09.000> to<00:10:09.300> keep<00:10:09.810> my<00:10:09.930> money<00:10:10.110> safe 00:10:10.370 --> 00:10:10.380 align:start position:0% if the dispute to keep my money safe 00:10:10.380 --> 00:10:12.950 align:start position:0% if the dispute to keep my money safe cost<00:10:11.100> me<00:10:11.460> more<00:10:11.730> money<00:10:11.790> than<00:10:12.240> the<00:10:12.540> dispute 00:10:12.950 --> 00:10:12.960 align:start position:0% cost me more money than the dispute 00:10:12.960 --> 00:10:15.770 align:start position:0% cost me more money than the dispute itself<00:10:13.820> cost<00:10:14.820> me<00:10:15.000> more<00:10:15.120> money<00:10:15.180> that<00:10:15.420> this<00:10:15.540> fees 00:10:15.770 --> 00:10:15.780 align:start position:0% itself cost me more money that this fees 00:10:15.780 --> 00:10:17.750 align:start position:0% itself cost me more money that this fees can<00:10:15.930> get<00:10:16.140> you<00:10:16.260> right<00:10:16.590> so<00:10:17.070> that<00:10:17.280> happens<00:10:17.610> we're 00:10:17.750 --> 00:10:17.760 align:start position:0% can get you right so that happens we're 00:10:17.760 --> 00:10:19.250 align:start position:0% can get you right so that happens we're in<00:10:17.850> trouble<00:10:18.000> so<00:10:18.330> we<00:10:18.450> want<00:10:18.600> to<00:10:18.660> be<00:10:18.720> careful<00:10:18.930> and 00:10:19.250 --> 00:10:19.260 align:start position:0% in trouble so we want to be careful and 00:10:19.260 --> 00:10:21.380 align:start position:0% in trouble so we want to be careful and design<00:10:19.950> the<00:10:20.040> protocols<00:10:20.430> carefully<00:10:20.850> so<00:10:21.240> that 00:10:21.380 --> 00:10:21.390 align:start position:0% design the protocols carefully so that 00:10:21.390 --> 00:10:23.750 align:start position:0% design the protocols carefully so that the<00:10:21.570> the<00:10:22.080> assumptions<00:10:22.800> of<00:10:22.920> makers<00:10:23.280> reasonable 00:10:23.750 --> 00:10:23.760 align:start position:0% the the assumptions of makers reasonable 00:10:23.760 --> 00:10:25.850 align:start position:0% the the assumptions of makers reasonable as<00:10:23.820> possible<00:10:24.330> and<00:10:24.840> ask<00:10:24.960> another<00:10:25.290> question<00:10:25.500> you 00:10:25.850 --> 00:10:25.860 align:start position:0% as possible and ask another question you 00:10:25.860 --> 00:10:32.170 align:start position:0% as possible and ask another question you that<00:10:26.160> was<00:10:26.340> one<00:10:26.370> nightmare<00:10:27.000> over 00:10:32.170 --> 00:10:32.180 align:start position:0% 00:10:32.180 --> 00:10:36.980 align:start position:0% that<00:10:34.130> looks<00:10:35.130> like<00:10:35.279> it<00:10:35.490> is<00:10:35.520> not<00:10:35.640> fit<00:10:36.540> to<00:10:36.660> be<00:10:36.779> more 00:10:36.980 --> 00:10:36.990 align:start position:0% that looks like it is not fit to be more 00:10:36.990 --> 00:10:40.519 align:start position:0% that looks like it is not fit to be more but<00:10:37.170> in<00:10:37.380> this<00:10:37.529> Dominica<00:10:38.339> oh<00:10:38.779> what<00:10:39.779> a<00:10:39.810> swell<00:10:40.470> a 00:10:40.519 --> 00:10:40.529 align:start position:0% but in this Dominica oh what a swell a 00:10:40.529 --> 00:10:43.400 align:start position:0% but in this Dominica oh what a swell a segue<00:10:41.279> what<00:10:41.670> a<00:10:41.880> segue<00:10:42.300> is<00:10:42.660> this<00:10:42.899> mystery<00:10:43.200> - 00:10:43.400 --> 00:10:43.410 align:start position:0% segue what a segue is this mystery - 00:10:43.410 --> 00:10:45.650 align:start position:0% segue what a segue is this mystery - you're<00:10:43.649> totally<00:10:43.770> right<00:10:44.190> so<00:10:44.640> unfortunately<00:10:45.420> we 00:10:45.650 --> 00:10:45.660 align:start position:0% you're totally right so unfortunately we 00:10:45.660 --> 00:10:47.210 align:start position:0% you're totally right so unfortunately we can't<00:10:45.870> just<00:10:46.020> write<00:10:46.200> a<00:10:46.230> computer<00:10:46.529> program<00:10:46.680> that 00:10:47.210 --> 00:10:47.220 align:start position:0% can't just write a computer program that 00:10:47.220 --> 00:10:49.070 align:start position:0% can't just write a computer program that does<00:10:47.459> a<00:10:47.490> four<00:10:47.790> loop<00:10:47.970> over<00:10:48.330> all<00:10:48.360> the<00:10:48.660> future<00:10:48.959> if 00:10:49.070 --> 00:10:49.080 align:start position:0% does a four loop over all the future if 00:10:49.080 --> 00:10:50.420 align:start position:0% does a four loop over all the future if you're<00:10:49.230> in<00:10:49.350> states<00:10:49.620> that<00:10:49.709> are<00:10:49.860> possible<00:10:50.310> it 00:10:50.420 --> 00:10:50.430 align:start position:0% you're in states that are possible it 00:10:50.430 --> 00:10:52.040 align:start position:0% you're in states that are possible it checks<00:10:50.700> whether<00:10:50.790> the<00:10:50.970> analyzer<00:10:51.360> assumptions 00:10:52.040 --> 00:10:52.050 align:start position:0% checks whether the analyzer assumptions 00:10:52.050 --> 00:10:54.320 align:start position:0% checks whether the analyzer assumptions this<00:10:52.290> is<00:10:52.410> computationally<00:10:53.310> infeasible<00:10:53.550> right 00:10:54.320 --> 00:10:54.330 align:start position:0% this is computationally infeasible right 00:10:54.330 --> 00:10:56.810 align:start position:0% this is computationally infeasible right so<00:10:54.870> this<00:10:55.380> is<00:10:55.560> a<00:10:55.589> great<00:10:55.860> tool<00:10:56.070> into<00:10:56.580> when<00:10:56.790> we 00:10:56.810 --> 00:10:56.820 align:start position:0% so this is a great tool into when we 00:10:56.820 --> 00:10:58.610 align:start position:0% so this is a great tool into when we describe<00:10:57.149> so<00:10:57.360> far<00:10:57.570> it's<00:10:57.870> a<00:10:57.899> great<00:10:58.050> framework<00:10:58.380> a 00:10:58.610 --> 00:10:58.620 align:start position:0% describe so far it's a great framework a 00:10:58.620 --> 00:11:00.920 align:start position:0% describe so far it's a great framework a great<00:10:58.800> model<00:10:59.010> for<00:10:59.550> describing<00:10:59.730> how<00:11:00.630> there<00:11:00.839> are 00:11:00.920 --> 00:11:00.930 align:start position:0% great model for describing how there are 00:11:00.930 --> 00:11:02.960 align:start position:0% great model for describing how there are two<00:11:00.959> protocols<00:11:01.320> that<00:11:01.589> existant<00:11:02.100> work<00:11:02.310> but 00:11:02.960 --> 00:11:02.970 align:start position:0% two protocols that existant work but 00:11:02.970 --> 00:11:04.010 align:start position:0% two protocols that existant work but you're<00:11:03.089> right<00:11:03.240> that<00:11:03.300> it's<00:11:03.540> not<00:11:03.660> really<00:11:03.810> useful 00:11:04.010 --> 00:11:04.020 align:start position:0% you're right that it's not really useful 00:11:04.020 --> 00:11:06.139 align:start position:0% you're right that it's not really useful in<00:11:04.410> constructing<00:11:04.620> some<00:11:05.430> sort<00:11:05.640> of<00:11:05.700> layer<00:11:05.910> two 00:11:06.139 --> 00:11:06.149 align:start position:0% in constructing some sort of layer two 00:11:06.149 --> 00:11:08.360 align:start position:0% in constructing some sort of layer two client<00:11:06.690> that<00:11:06.810> is<00:11:06.930> like<00:11:07.110> unified<00:11:07.589> or<00:11:07.890> magically 00:11:08.360 --> 00:11:08.370 align:start position:0% client that is like unified or magically 00:11:08.370 --> 00:11:10.310 align:start position:0% client that is like unified or magically combined<00:11:08.760> everything<00:11:09.240> in<00:11:09.330> one<00:11:09.450> way<00:11:09.600> because 00:11:10.310 --> 00:11:10.320 align:start position:0% combined everything in one way because 00:11:10.320 --> 00:11:12.019 align:start position:0% combined everything in one way because this<00:11:10.470> is<00:11:10.529> a<00:11:10.649> very<00:11:10.860> very<00:11:11.160> large<00:11:11.399> set<00:11:11.760> in<00:11:11.850> fact 00:11:12.019 --> 00:11:12.029 align:start position:0% this is a very very large set in fact 00:11:12.029 --> 00:11:14.000 align:start position:0% this is a very very large set in fact infinite<00:11:12.420> now<00:11:12.750> maybe<00:11:13.020> with<00:11:13.230> the<00:11:13.320> gas<00:11:13.470> limited 00:11:14.000 --> 00:11:14.010 align:start position:0% infinite now maybe with the gas limited 00:11:14.010 --> 00:11:15.019 align:start position:0% infinite now maybe with the gas limited like<00:11:14.160> the<00:11:14.279> fact<00:11:14.430> that<00:11:14.459> there's<00:11:14.640> only<00:11:14.700> so<00:11:14.850> many 00:11:15.019 --> 00:11:15.029 align:start position:0% like the fact that there's only so many 00:11:15.029 --> 00:11:16.790 align:start position:0% like the fact that there's only so many bytes<00:11:15.330> it's<00:11:15.570> like<00:11:15.720> actually<00:11:16.110> kind<00:11:16.380> of<00:11:16.440> finite 00:11:16.790 --> 00:11:16.800 align:start position:0% bytes it's like actually kind of finite 00:11:16.800 --> 00:11:19.070 align:start position:0% bytes it's like actually kind of finite but<00:11:17.010> there's<00:11:17.250> like<00:11:17.399> way<00:11:17.580> more<00:11:17.610> atoms<00:11:18.330> would 00:11:19.070 --> 00:11:19.080 align:start position:0% but there's like way more atoms would 00:11:19.080 --> 00:11:20.240 align:start position:0% but there's like way more atoms would you<00:11:19.170> know<00:11:19.230> way<00:11:19.410> more<00:11:19.440> than<00:11:19.800> atoms<00:11:20.070> in<00:11:20.160> the 00:11:20.240 --> 00:11:20.250 align:start position:0% you know way more than atoms in the 00:11:20.250 --> 00:11:21.650 align:start position:0% you know way more than atoms in the universe<00:11:20.459> worth<00:11:20.730> of<00:11:20.880> these<00:11:21.000> things<00:11:21.240> right 00:11:21.650 --> 00:11:21.660 align:start position:0% universe worth of these things right 00:11:21.660 --> 00:11:23.389 align:start position:0% universe worth of these things right yeah<00:11:22.260> so<00:11:22.470> exactly<00:11:22.890> right<00:11:23.010> so<00:11:23.040> what<00:11:23.250> we've<00:11:23.370> been 00:11:23.389 --> 00:11:23.399 align:start position:0% yeah so exactly right so what we've been 00:11:23.399 --> 00:11:25.310 align:start position:0% yeah so exactly right so what we've been doing<00:11:23.670> here<00:11:23.790> is<00:11:24.209> we've<00:11:24.420> been<00:11:24.600> looking<00:11:25.230> at 00:11:25.310 --> 00:11:25.320 align:start position:0% doing here is we've been looking at 00:11:25.320 --> 00:11:26.810 align:start position:0% doing here is we've been looking at later<00:11:25.560> to<00:11:25.770> write<00:11:26.040> this<00:11:26.190> framework<00:11:26.610> that<00:11:26.700> we 00:11:26.810 --> 00:11:26.820 align:start position:0% later to write this framework that we 00:11:26.820 --> 00:11:28.670 align:start position:0% later to write this framework that we just<00:11:26.970> talked<00:11:27.180> about<00:11:27.300> is<00:11:27.779> a<00:11:27.839> way<00:11:28.050> that<00:11:28.230> you<00:11:28.320> look 00:11:28.670 --> 00:11:28.680 align:start position:0% just talked about is a way that you look 00:11:28.680 --> 00:11:31.160 align:start position:0% just talked about is a way that you look at<00:11:28.890> layer<00:11:29.100> two<00:11:29.370> systems<00:11:29.970> it<00:11:30.360> is<00:11:30.540> not<00:11:30.810> however 00:11:31.160 --> 00:11:31.170 align:start position:0% at layer two systems it is not however 00:11:31.170 --> 00:11:34.340 align:start position:0% at layer two systems it is not however Granick<00:11:32.160> that's<00:11:32.490> useful<00:11:32.790> in<00:11:33.149> a<00:11:33.209> building<00:11:34.020> a 00:11:34.340 --> 00:11:34.350 align:start position:0% Granick that's useful in a building a 00:11:34.350 --> 00:11:36.590 align:start position:0% Granick that's useful in a building a layer<00:11:34.650> two<00:11:34.860> systems<00:11:35.220> right<00:11:35.520> but<00:11:36.060> so<00:11:36.209> this<00:11:36.450> is 00:11:36.590 --> 00:11:36.600 align:start position:0% layer two systems right but so this is 00:11:36.600 --> 00:11:37.790 align:start position:0% layer two systems right but so this is what<00:11:36.720> we<00:11:36.810> really<00:11:36.930> want<00:11:37.050> to<00:11:37.230> do<00:11:37.410> right<00:11:37.589> at<00:11:37.740> the 00:11:37.790 --> 00:11:37.800 align:start position:0% what we really want to do right at the 00:11:37.800 --> 00:11:39.110 align:start position:0% what we really want to do right at the end<00:11:37.950> of<00:11:38.040> the<00:11:38.100> day<00:11:38.220> research<00:11:38.700> should<00:11:38.820> be<00:11:38.880> going 00:11:39.110 --> 00:11:39.120 align:start position:0% end of the day research should be going 00:11:39.120 --> 00:11:40.880 align:start position:0% end of the day research should be going to<00:11:39.180> fight<00:11:39.300> motivated<00:11:39.810> by<00:11:39.930> actionable<00:11:40.529> things 00:11:40.880 --> 00:11:40.890 align:start position:0% to fight motivated by actionable things 00:11:40.890 --> 00:11:43.130 align:start position:0% to fight motivated by actionable things and<00:11:41.610> what<00:11:41.730> we<00:11:41.850> really<00:11:42.150> want<00:11:42.420> is<00:11:42.600> to<00:11:42.660> be<00:11:42.870> able<00:11:42.990> to 00:11:43.130 --> 00:11:43.140 align:start position:0% and what we really want is to be able to 00:11:43.140 --> 00:11:45.230 align:start position:0% and what we really want is to be able to build<00:11:43.380> a<00:11:43.560> layer<00:11:43.709> two<00:11:43.890> protocols<00:11:44.220> in<00:11:44.910> some 00:11:45.230 --> 00:11:45.240 align:start position:0% build a layer two protocols in some 00:11:45.240 --> 00:11:47.390 align:start position:0% build a layer two protocols in some framework<00:11:45.690> that<00:11:45.900> extends<00:11:46.320> beyond<00:11:46.620> you<00:11:47.279> know<00:11:47.370> a 00:11:47.390 --> 00:11:47.400 align:start position:0% framework that extends beyond you know a 00:11:47.400 --> 00:11:49.310 align:start position:0% framework that extends beyond you know a particular<00:11:47.910> plasma<00:11:48.570> researcher<00:11:49.050> who<00:11:49.170> has 00:11:49.310 --> 00:11:49.320 align:start position:0% particular plasma researcher who has 00:11:49.320 --> 00:11:51.380 align:start position:0% particular plasma researcher who has intuitions<00:11:49.830> for<00:11:49.890> plasma<00:11:50.490> does<00:11:50.670> and<00:11:51.029> a 00:11:51.380 --> 00:11:51.390 align:start position:0% intuitions for plasma does and a 00:11:51.390 --> 00:11:53.000 align:start position:0% intuitions for plasma does and a particular<00:11:51.660> channels<00:11:52.170> regions<00:11:52.500> researcher 00:11:53.000 --> 00:11:53.010 align:start position:0% particular channels regions researcher 00:11:53.010 --> 00:11:55.460 align:start position:0% particular channels regions researcher has<00:11:53.220> emissions<00:11:53.670> for<00:11:53.760> channels<00:11:54.240> two<00:11:54.420> and<00:11:55.020> so<00:11:55.440> on 00:11:55.460 --> 00:11:55.470 align:start position:0% has emissions for channels two and so on 00:11:55.470 --> 00:11:56.120 align:start position:0% has emissions for channels two and so on and<00:11:55.680> so<00:11:55.800> forth 00:11:56.120 --> 00:11:56.130 align:start position:0% and so forth 00:11:56.130 --> 00:11:57.769 align:start position:0% and so forth we<00:11:56.190> want<00:11:56.370> to<00:11:56.430> try<00:11:56.550> to<00:11:56.580> unify<00:11:56.820> this<00:11:57.120> under<00:11:57.570> one 00:11:57.769 --> 00:11:57.779 align:start position:0% we want to try to unify this under one 00:11:57.779 --> 00:12:00.170 align:start position:0% we want to try to unify this under one sort<00:11:58.080> of<00:11:58.110> shared<00:11:58.470> frame<00:11:58.860> right<00:11:59.700> so<00:11:59.850> we<00:12:00.000> want 00:12:00.170 --> 00:12:00.180 align:start position:0% sort of shared frame right so we want 00:12:00.180 --> 00:12:02.150 align:start position:0% sort of shared frame right so we want like<00:12:00.330> when<00:12:00.839> I<00:12:00.870> like<00:12:01.110> to<00:12:01.170> think<00:12:01.350> about<00:12:01.560> dispute 00:12:02.150 --> 00:12:02.160 align:start position:0% like when I like to think about dispute 00:12:02.160 --> 00:12:03.940 align:start position:0% like when I like to think about dispute Legos<00:12:02.490> right<00:12:02.610> we<00:12:02.850> want<00:12:03.089> some<00:12:03.330> way<00:12:03.360> to 00:12:03.940 --> 00:12:03.950 align:start position:0% Legos right we want some way to 00:12:03.950 --> 00:12:06.199 align:start position:0% Legos right we want some way to contextualize<00:12:04.950> and<00:12:05.550> instead<00:12:05.820> of<00:12:05.910> replacing 00:12:06.199 --> 00:12:06.209 align:start position:0% contextualize and instead of replacing 00:12:06.209 --> 00:12:07.910 align:start position:0% contextualize and instead of replacing so<00:12:06.690> like<00:12:06.959> a<00:12:06.990> plasma<00:12:07.260> for<00:12:07.560> example<00:12:07.830> we're 00:12:07.910 --> 00:12:07.920 align:start position:0% so like a plasma for example we're 00:12:07.920 --> 00:12:09.590 align:start position:0% so like a plasma for example we're feeling<00:12:08.220> very<00:12:08.400> guilty<00:12:08.580> of<00:12:08.790> this<00:12:08.940> we<00:12:09.089> have<00:12:09.240> like 00:12:09.590 --> 00:12:09.600 align:start position:0% feeling very guilty of this we have like 00:12:09.600 --> 00:12:12.030 align:start position:0% feeling very guilty of this we have like limo<00:12:10.500> swaps<00:12:10.920> and<00:12:11.310> about 00:12:12.030 --> 00:12:12.040 align:start position:0% limo swaps and about 00:12:12.040 --> 00:12:14.490 align:start position:0% limo swaps and about and<00:12:12.610> you<00:12:13.090> know<00:12:13.210> the<00:12:13.570> job<00:12:13.960> isn't<00:12:14.200> all<00:12:14.350> these 00:12:14.490 --> 00:12:14.500 align:start position:0% and you know the job isn't all these 00:12:14.500 --> 00:12:16.380 align:start position:0% and you know the job isn't all these things<00:12:14.770> I<00:12:14.980> think<00:12:15.250> very<00:12:15.520> very<00:12:15.610> useful<00:12:16.150> for<00:12:16.300> us 00:12:16.380 --> 00:12:16.390 align:start position:0% things I think very very useful for us 00:12:16.390 --> 00:12:18.540 align:start position:0% things I think very very useful for us as<00:12:16.570> possible<00:12:16.780> researchers<00:12:17.440> to<00:12:17.680> be<00:12:18.310> able<00:12:18.490> to 00:12:18.540 --> 00:12:18.550 align:start position:0% as possible researchers to be able to 00:12:18.550 --> 00:12:20.430 align:start position:0% as possible researchers to be able to talk<00:12:18.700> to<00:12:18.730> each<00:12:18.940> other<00:12:19.180> but<00:12:19.780> they're<00:12:19.960> not<00:12:20.170> good 00:12:20.430 --> 00:12:20.440 align:start position:0% talk to each other but they're not good 00:12:20.440 --> 00:12:21.480 align:start position:0% talk to each other but they're not good what<00:12:20.650> if<00:12:20.710> you<00:12:20.770> want<00:12:20.920> to<00:12:20.980> bring<00:12:21.100> someone<00:12:21.310> you 00:12:21.480 --> 00:12:21.490 align:start position:0% what if you want to bring someone you 00:12:21.490 --> 00:12:22.890 align:start position:0% what if you want to bring someone you want<00:12:21.730> bored<00:12:21.970> because<00:12:22.120> we<00:12:22.330> have<00:12:22.420> to<00:12:22.510> teach<00:12:22.690> them 00:12:22.890 --> 00:12:22.900 align:start position:0% want bored because we have to teach them 00:12:22.900 --> 00:12:25.740 align:start position:0% want bored because we have to teach them all<00:12:23.050> of<00:12:23.170> this<00:12:23.290> stuff<00:12:23.710> right<00:12:24.160> and<00:12:24.400> what<00:12:25.120> the 00:12:25.740 --> 00:12:25.750 align:start position:0% all of this stuff right and what the 00:12:25.750 --> 00:12:28.320 align:start position:0% all of this stuff right and what the people<00:12:26.020> who<00:12:26.080> want<00:12:26.350> to<00:12:26.410> be<00:12:26.470> fun<00:12:26.740> to<00:12:27.330> do 00:12:28.320 --> 00:12:28.330 align:start position:0% people who want to be fun to do 00:12:28.330 --> 00:12:30.570 align:start position:0% people who want to be fun to do understand<00:12:28.960> is<00:12:29.170> like<00:12:29.380> logic<00:12:29.830> and<00:12:30.010> math<00:12:30.250> and 00:12:30.570 --> 00:12:30.580 align:start position:0% understand is like logic and math and 00:12:30.580 --> 00:12:32.070 align:start position:0% understand is like logic and math and models<00:12:31.000> rain<00:12:31.240> so<00:12:31.450> we<00:12:31.570> want<00:12:31.720> to<00:12:31.810> be<00:12:31.870> able<00:12:31.930> to 00:12:32.070 --> 00:12:32.080 align:start position:0% models rain so we want to be able to 00:12:32.080 --> 00:12:33.480 align:start position:0% models rain so we want to be able to push<00:12:32.230> that<00:12:32.440> and<00:12:32.710> so<00:12:32.860> that's<00:12:33.040> what<00:12:33.190> we<00:12:33.280> sort<00:12:33.430> of 00:12:33.480 --> 00:12:33.490 align:start position:0% push that and so that's what we sort of 00:12:33.490 --> 00:12:34.770 align:start position:0% push that and so that's what we sort of the<00:12:33.580> goal<00:12:33.790> of<00:12:34.060> what<00:12:34.180> we're<00:12:34.390> going<00:12:34.510> to<00:12:34.570> do<00:12:34.630> here 00:12:34.770 --> 00:12:34.780 align:start position:0% the goal of what we're going to do here 00:12:34.780 --> 00:12:37.110 align:start position:0% the goal of what we're going to do here today<00:12:34.930> great<00:12:35.650> question<00:12:36.040> great<00:12:36.220> question<00:12:36.400> so 00:12:37.110 --> 00:12:37.120 align:start position:0% today great question great question so 00:12:37.120 --> 00:12:38.130 align:start position:0% today great question great question so we<00:12:37.210> want<00:12:37.390> to<00:12:37.450> be<00:12:37.510> able<00:12:37.600> to<00:12:37.690> build<00:12:37.930> things 00:12:38.130 --> 00:12:38.140 align:start position:0% we want to be able to build things 00:12:38.140 --> 00:12:40.500 align:start position:0% we want to be able to build things because<00:12:38.920> the<00:12:39.130> space<00:12:39.340> is<00:12:39.370> just<00:12:39.610> too<00:12:39.940> large<00:12:40.210> it's 00:12:40.500 --> 00:12:40.510 align:start position:0% because the space is just too large it's 00:12:40.510 --> 00:12:42.000 align:start position:0% because the space is just too large it's basically<00:12:41.020> infinite<00:12:41.260> you<00:12:41.590> know<00:12:41.680> for<00:12:41.920> all 00:12:42.000 --> 00:12:42.010 align:start position:0% basically infinite you know for all 00:12:42.010 --> 00:12:44.670 align:start position:0% basically infinite you know for all intents<00:12:42.310> and<00:12:42.370> purposes<00:12:42.990> right<00:12:43.990> this<00:12:44.380> is<00:12:44.530> too 00:12:44.670 --> 00:12:44.680 align:start position:0% intents and purposes right this is too 00:12:44.680 --> 00:12:46.110 align:start position:0% intents and purposes right this is too big<00:12:44.830> to<00:12:44.920> compute<00:12:45.190> here<00:12:45.310> we<00:12:45.400> go<00:12:45.550> I<00:12:45.730> wish<00:12:45.970> you'd 00:12:46.110 --> 00:12:46.120 align:start position:0% big to compute here we go I wish you'd 00:12:46.120 --> 00:12:48.090 align:start position:0% big to compute here we go I wish you'd asked<00:12:46.330> at<00:12:46.420> once<00:12:46.600> laminator<00:12:47.080> on/off<00:12:47.620> switch<00:12:47.950> we 00:12:48.090 --> 00:12:48.100 align:start position:0% asked at once laminator on/off switch we 00:12:48.100 --> 00:12:49.500 align:start position:0% asked at once laminator on/off switch we really<00:12:48.490> wanted<00:12:48.850> to<00:12:49.000> put<00:12:49.150> this<00:12:49.240> slide<00:12:49.480> earlier 00:12:49.500 --> 00:12:49.510 align:start position:0% really wanted to put this slide earlier 00:12:49.510 --> 00:12:51.930 align:start position:0% really wanted to put this slide earlier but<00:12:50.350> you're<00:12:50.500> exactly<00:12:50.620> right<00:12:50.920> right<00:12:51.370> so<00:12:51.790> we 00:12:51.930 --> 00:12:51.940 align:start position:0% but you're exactly right right so we 00:12:51.940 --> 00:12:53.580 align:start position:0% but you're exactly right right so we want<00:12:52.210> something<00:12:52.510> that<00:12:52.660> is<00:12:52.780> easier<00:12:53.200> to<00:12:53.260> cute 00:12:53.580 --> 00:12:53.590 align:start position:0% want something that is easier to cute 00:12:53.590 --> 00:12:55.590 align:start position:0% want something that is easier to cute but<00:12:54.490> we<00:12:54.580> also<00:12:54.760> want<00:12:55.120> something<00:12:55.330> that<00:12:55.450> is 00:12:55.590 --> 00:12:55.600 align:start position:0% but we also want something that is 00:12:55.600 --> 00:12:57.060 align:start position:0% but we also want something that is flexible<00:12:55.810> enough<00:12:56.050> to<00:12:56.290> go<00:12:56.380> the<00:12:56.470> protocol<00:12:56.860> right 00:12:57.060 --> 00:12:57.070 align:start position:0% flexible enough to go the protocol right 00:12:57.070 --> 00:12:59.040 align:start position:0% flexible enough to go the protocol right so<00:12:57.340> for<00:12:57.760> example<00:12:58.150> there's<00:12:58.540> a<00:12:58.630> layer<00:12:58.840> 2 00:12:59.040 --> 00:12:59.050 align:start position:0% so for example there's a layer 2 00:12:59.050 --> 00:13:01.320 align:start position:0% so for example there's a layer 2 protocol<00:12:59.470> that<00:12:59.740> says<00:12:59.980> I<00:13:00.220> can<00:13:00.760> burn<00:13:00.910> all<00:13:01.090> of<00:13:01.120> my 00:13:01.320 --> 00:13:01.330 align:start position:0% protocol that says I can burn all of my 00:13:01.330 --> 00:13:03.510 align:start position:0% protocol that says I can burn all of my money<00:13:01.510> whenever<00:13:01.870> I<00:13:01.990> want<00:13:02.230> and<00:13:02.500> of<00:13:03.100> course<00:13:03.310> once 00:13:03.510 --> 00:13:03.520 align:start position:0% money whenever I want and of course once 00:13:03.520 --> 00:13:04.620 align:start position:0% money whenever I want and of course once it's<00:13:03.700> burnt<00:13:03.910> you're<00:13:04.090> never<00:13:04.240> going<00:13:04.360> to<00:13:04.390> go<00:13:04.480> back 00:13:04.620 --> 00:13:04.630 align:start position:0% it's burnt you're never going to go back 00:13:04.630 --> 00:13:06.450 align:start position:0% it's burnt you're never going to go back from<00:13:04.810> a<00:13:04.960> B<00:13:05.110> number<00:13:05.440> this<00:13:05.890> is<00:13:06.040> a<00:13:06.070> very<00:13:06.250> useful 00:13:06.450 --> 00:13:06.460 align:start position:0% from a B number this is a very useful 00:13:06.460 --> 00:13:08.880 align:start position:0% from a B number this is a very useful protocol<00:13:07.120> right<00:13:07.450> so<00:13:07.630> we<00:13:07.780> want<00:13:07.990> somewhere<00:13:08.710> in 00:13:08.880 --> 00:13:08.890 align:start position:0% protocol right so we want somewhere in 00:13:08.890 --> 00:13:10.380 align:start position:0% protocol right so we want somewhere in the<00:13:08.980> middle<00:13:09.250> between<00:13:09.460> the<00:13:09.700> spectrum<00:13:10.060> of<00:13:10.150> just 00:13:10.380 --> 00:13:10.390 align:start position:0% the middle between the spectrum of just 00:13:10.390 --> 00:13:12.240 align:start position:0% the middle between the spectrum of just like<00:13:10.540> before<00:13:10.960> leaping<00:13:11.470> over<00:13:11.710> alternative 00:13:12.240 --> 00:13:12.250 align:start position:0% like before leaping over alternative 00:13:12.250 --> 00:13:13.920 align:start position:0% like before leaping over alternative boxes<00:13:12.640> can<00:13:12.820> be<00:13:12.940> done<00:13:13.120> without<00:13:13.360> you<00:13:13.750> know 00:13:13.920 --> 00:13:13.930 align:start position:0% boxes can be done without you know 00:13:13.930 --> 00:13:15.600 align:start position:0% boxes can be done without you know magically<00:13:14.500> infinite<00:13:14.890> computer<00:13:15.340> and 00:13:15.600 --> 00:13:15.610 align:start position:0% magically infinite computer and 00:13:15.610 --> 00:13:17.610 align:start position:0% magically infinite computer and something<00:13:16.360> that's<00:13:16.420> actually<00:13:16.810> useful<00:13:17.020> so 00:13:17.610 --> 00:13:17.620 align:start position:0% something that's actually useful so 00:13:17.620 --> 00:13:18.630 align:start position:0% something that's actually useful so that's<00:13:17.800> what<00:13:17.920> I'm<00:13:18.010> gonna<00:13:18.100> try<00:13:18.250> to<00:13:18.310> pull<00:13:18.520> out 00:13:18.630 --> 00:13:18.640 align:start position:0% that's what I'm gonna try to pull out 00:13:18.640 --> 00:13:21.990 align:start position:0% that's what I'm gonna try to pull out here<00:13:18.910> today<00:13:19.560> ok<00:13:20.560> other<00:13:20.770> questions<00:13:21.000> other 00:13:21.990 --> 00:13:22.000 align:start position:0% here today ok other questions other 00:13:22.000 --> 00:13:29.310 align:start position:0% here today ok other questions other questions<00:13:23.160> all<00:13:24.160> right<00:13:26.370> so<00:13:27.810> let's<00:13:28.810> talk<00:13:29.080> about 00:13:29.310 --> 00:13:29.320 align:start position:0% questions all right so let's talk about 00:13:29.320 --> 00:13:30.570 align:start position:0% questions all right so let's talk about some<00:13:30.220> hits 00:13:30.570 --> 00:13:30.580 align:start position:0% some hits 00:13:30.580 --> 00:13:32.970 align:start position:0% some hits ok<00:13:31.240> I<00:13:31.480> pulled<00:13:32.050> these<00:13:32.140> from<00:13:32.200> a<00:13:32.560> couple<00:13:32.890> of 00:13:32.970 --> 00:13:32.980 align:start position:0% ok I pulled these from a couple of 00:13:32.980 --> 00:13:34.950 align:start position:0% ok I pulled these from a couple of different<00:13:33.130> layer<00:13:33.550> to<00:13:33.820> sort<00:13:34.630> of<00:13:34.660> the<00:13:34.780> science 00:13:34.950 --> 00:13:34.960 align:start position:0% different layer to sort of the science 00:13:34.960 --> 00:13:37.760 align:start position:0% different layer to sort of the science and<00:13:35.350> protocols<00:13:35.910> so<00:13:36.910> in<00:13:37.030> the<00:13:37.120> other<00:13:37.210> right<00:13:37.450> here 00:13:37.760 --> 00:13:37.770 align:start position:0% and protocols so in the other right here 00:13:37.770 --> 00:13:39.870 align:start position:0% and protocols so in the other right here upper<00:13:38.770> right<00:13:38.950> here<00:13:39.190> we<00:13:39.400> have<00:13:39.430> some 00:13:39.870 --> 00:13:39.880 align:start position:0% upper right here we have some 00:13:39.880 --> 00:13:41.790 align:start position:0% upper right here we have some localization<00:13:40.870> this<00:13:41.170> wrote<00:13:41.380> a<00:13:41.500> paper<00:13:41.680> called 00:13:41.790 --> 00:13:41.800 align:start position:0% localization this wrote a paper called 00:13:41.800 --> 00:13:43.590 align:start position:0% localization this wrote a paper called note<00:13:42.190> costly<00:13:42.640> to<00:13:42.760> commit<00:13:43.030> chance<00:13:43.300> very 00:13:43.590 --> 00:13:43.600 align:start position:0% note costly to commit chance very 00:13:43.600 --> 00:13:46.470 align:start position:0% note costly to commit chance very similar<00:13:43.870> to<00:13:43.960> plasma<00:13:44.410> so<00:13:45.100> they<00:13:45.490> have<00:13:46.300> a<00:13:46.360> whole 00:13:46.470 --> 00:13:46.480 align:start position:0% similar to plasma so they have a whole 00:13:46.480 --> 00:13:47.640 align:start position:0% similar to plasma so they have a whole have<00:13:46.720> this<00:13:46.840> notion<00:13:47.020> of<00:13:47.170> local<00:13:47.380> information 00:13:47.640 --> 00:13:47.650 align:start position:0% have this notion of local information 00:13:47.650 --> 00:13:48.990 align:start position:0% have this notion of local information right<00:13:48.190> it's<00:13:48.310> the<00:13:48.370> same<00:13:48.550> thing<00:13:48.760> that<00:13:48.880> we<00:13:48.970> were 00:13:48.990 --> 00:13:49.000 align:start position:0% right it's the same thing that we were 00:13:49.000 --> 00:13:50.940 align:start position:0% right it's the same thing that we were talking<00:13:49.240> about<00:13:49.510> before<00:13:49.930> a<00:13:50.170> few<00:13:50.440> slides<00:13:50.680> back 00:13:50.940 --> 00:13:50.950 align:start position:0% talking about before a few slides back 00:13:50.950 --> 00:13:53.310 align:start position:0% talking about before a few slides back on<00:13:51.550> what<00:13:51.760> we<00:13:51.850> call<00:13:52.000> the<00:13:52.090> high<00:13:52.180> logo<00:13:52.600> they're 00:13:53.310 --> 00:13:53.320 align:start position:0% on what we call the high logo they're 00:13:53.320 --> 00:13:56.070 align:start position:0% on what we call the high logo they're using<00:13:53.560> that<00:13:53.710> in<00:13:53.890> their<00:13:54.010> paper<00:13:54.310> boom<00:13:54.960> ok<00:13:55.960> now 00:13:56.070 --> 00:13:56.080 align:start position:0% using that in their paper boom ok now 00:13:56.080 --> 00:13:57.630 align:start position:0% using that in their paper boom ok now there's<00:13:56.260> another<00:13:56.470> there's<00:13:57.220> another<00:13:57.370> hint 00:13:57.630 --> 00:13:57.640 align:start position:0% there's another there's another hint 00:13:57.640 --> 00:13:59.020 align:start position:0% there's another there's another hint that<00:13:57.760> I'd<00:13:58.450> like<00:13:58.630> to<00:13:58.720> share 00:13:59.020 --> 00:13:59.030 align:start position:0% that I'd like to share 00:13:59.030 --> 00:14:00.580 align:start position:0% that I'd like to share which<00:13:59.270> is<00:13:59.390> from<00:13:59.720> the<00:13:59.840> generalized<00:14:00.320> state 00:14:00.580 --> 00:14:00.590 align:start position:0% which is from the generalized state 00:14:00.590 --> 00:14:02.710 align:start position:0% which is from the generalized state channels<00:14:00.950> paper<00:14:01.160> so<00:14:01.490> great<00:14:01.700> they<00:14:01.970> work<00:14:02.210> by<00:14:02.390> the 00:14:02.710 --> 00:14:02.720 align:start position:0% channels paper so great they work by the 00:14:02.720 --> 00:14:04.300 align:start position:0% channels paper so great they work by the counterfactual<00:14:03.110> team<00:14:03.530> which<00:14:03.800> is<00:14:03.950> now<00:14:04.070> been 00:14:04.300 --> 00:14:04.310 align:start position:0% counterfactual team which is now been 00:14:04.310 --> 00:14:06.040 align:start position:0% counterfactual team which is now been unified<00:14:04.640> across<00:14:04.880> almost<00:14:05.210> all<00:14:05.420> state<00:14:05.690> channels 00:14:06.040 --> 00:14:06.050 align:start position:0% unified across almost all state channels 00:14:06.050 --> 00:14:08.320 align:start position:0% unified across almost all state channels porphyria<00:14:06.470> this<00:14:07.340> is<00:14:07.430> very<00:14:07.610> safe<00:14:07.790> there's<00:14:08.270> a 00:14:08.320 --> 00:14:08.330 align:start position:0% porphyria this is very safe there's a 00:14:08.330 --> 00:14:11.110 align:start position:0% porphyria this is very safe there's a for<00:14:08.690> all<00:14:09.050> here<00:14:09.440> okay<00:14:09.800> I<00:14:09.830> like<00:14:10.310> for<00:14:10.580> alts<00:14:10.940> and 00:14:11.110 --> 00:14:11.120 align:start position:0% for all here okay I like for alts and 00:14:11.120 --> 00:14:13.150 align:start position:0% for all here okay I like for alts and you'll<00:14:11.240> see<00:14:11.480> I<00:14:11.840> mean<00:14:12.320> talk<00:14:12.500> about<00:14:12.740> for<00:14:12.890> all's<00:14:13.040> a 00:14:13.150 --> 00:14:13.160 align:start position:0% you'll see I mean talk about for all's a 00:14:13.160 --> 00:14:14.680 align:start position:0% you'll see I mean talk about for all's a lot<00:14:13.430> for<00:14:13.820> the<00:14:13.910> rest<00:14:14.060> of<00:14:14.150> these<00:14:14.240> slides<00:14:14.300> so 00:14:14.680 --> 00:14:14.690 align:start position:0% lot for the rest of these slides so 00:14:14.690 --> 00:14:17.860 align:start position:0% lot for the rest of these slides so there's<00:14:14.900> another<00:14:15.200> hint<00:14:15.470> for<00:14:16.010> all<00:14:16.660> so<00:14:17.660> here's 00:14:17.860 --> 00:14:17.870 align:start position:0% there's another hint for all so here's 00:14:17.870 --> 00:14:21.430 align:start position:0% there's another hint for all so here's one<00:14:18.050> from<00:14:18.290> my<00:14:19.040> coworker<00:14:19.580> my<00:14:20.230> challenges<00:14:21.230> this 00:14:21.430 --> 00:14:21.440 align:start position:0% one from my coworker my challenges this 00:14:21.440 --> 00:14:23.470 align:start position:0% one from my coworker my challenges this world<00:14:21.710> has<00:14:21.860> no<00:14:22.100> paper<00:14:22.280> and<00:14:22.790> there<00:14:23.150> is<00:14:23.210> no<00:14:23.420> sir 00:14:23.470 --> 00:14:23.480 align:start position:0% world has no paper and there is no sir 00:14:23.480 --> 00:14:25.060 align:start position:0% world has no paper and there is no sir no<00:14:23.660> challenges<00:14:24.350> right<00:14:24.530> it<00:14:24.710> seems<00:14:24.830> like 00:14:25.060 --> 00:14:25.070 align:start position:0% no challenges right it seems like 00:14:25.070 --> 00:14:26.530 align:start position:0% no challenges right it seems like decisions<00:14:25.610> are<00:14:25.760> primarily<00:14:26.120> based<00:14:26.240> on 00:14:26.530 --> 00:14:26.540 align:start position:0% decisions are primarily based on 00:14:26.540 --> 00:14:28.330 align:start position:0% decisions are primarily based on challenges<00:14:27.110> one<00:14:27.290> person<00:14:27.590> says<00:14:27.770> one<00:14:27.950> thing<00:14:28.160> and 00:14:28.330 --> 00:14:28.340 align:start position:0% challenges one person says one thing and 00:14:28.340 --> 00:14:30.550 align:start position:0% challenges one person says one thing and other<00:14:28.790> challenges<00:14:29.480> it<00:14:29.600> with<00:14:29.690> another<00:14:29.900> and<00:14:30.440> it 00:14:30.550 --> 00:14:30.560 align:start position:0% other challenges it with another and it 00:14:30.560 --> 00:14:31.720 align:start position:0% other challenges it with another and it more<00:14:30.740> advanced<00:14:30.950> protocols<00:14:31.370> we<00:14:31.490> even<00:14:31.610> have 00:14:31.720 --> 00:14:31.730 align:start position:0% more advanced protocols we even have 00:14:31.730 --> 00:14:33.490 align:start position:0% more advanced protocols we even have several<00:14:32.060> layers<00:14:32.420> of<00:14:32.630> challenges<00:14:33.200> where<00:14:33.320> maybe 00:14:33.490 --> 00:14:33.500 align:start position:0% several layers of challenges where maybe 00:14:33.500 --> 00:14:35.170 align:start position:0% several layers of challenges where maybe one<00:14:33.650> guy<00:14:33.800> says<00:14:34.040> one<00:14:34.220> thing<00:14:34.430> and<00:14:34.700> another<00:14:34.940> guy 00:14:35.170 --> 00:14:35.180 align:start position:0% one guy says one thing and another guy 00:14:35.180 --> 00:14:37.120 align:start position:0% one guy says one thing and another guy challenges<00:14:35.780> and<00:14:35.990> then<00:14:36.080> the<00:14:36.170> guy<00:14:36.500> respond<00:14:36.980> the 00:14:37.120 --> 00:14:37.130 align:start position:0% challenges and then the guy respond the 00:14:37.130 --> 00:14:39.670 align:start position:0% challenges and then the guy respond the first<00:14:37.160> that<00:14:37.430> responds<00:14:37.790> again<00:14:38.300> okay<00:14:38.870> so<00:14:39.200> here 00:14:39.670 --> 00:14:39.680 align:start position:0% first that responds again okay so here 00:14:39.680 --> 00:14:41.200 align:start position:0% first that responds again okay so here are<00:14:39.710> some<00:14:39.980> sort<00:14:40.250> of<00:14:40.280> these<00:14:40.460> these<00:14:40.910> are<00:14:40.970> what<00:14:41.150> I 00:14:41.200 --> 00:14:41.210 align:start position:0% are some sort of these these are what I 00:14:41.210 --> 00:14:42.640 align:start position:0% are some sort of these these are what I think<00:14:41.240> are<00:14:41.480> hints<00:14:41.810> that<00:14:41.960> will<00:14:42.170> sort<00:14:42.320> of<00:14:42.380> lead 00:14:42.640 --> 00:14:42.650 align:start position:0% think are hints that will sort of lead 00:14:42.650 --> 00:14:44.650 align:start position:0% think are hints that will sort of lead us<00:14:42.830> to<00:14:43.490> being<00:14:43.820> able<00:14:43.970> to<00:14:44.120> construct<00:14:44.480> something 00:14:44.650 --> 00:14:44.660 align:start position:0% us to being able to construct something 00:14:44.660 --> 00:14:47.080 align:start position:0% us to being able to construct something very<00:14:44.930> useful<00:14:45.670> ok<00:14:46.670> that<00:14:46.850> makes<00:14:46.940> sense 00:14:47.080 --> 00:14:47.090 align:start position:0% very useful ok that makes sense 00:14:47.090 --> 00:14:50.200 align:start position:0% very useful ok that makes sense questions<00:14:47.600> there<00:14:48.070> ok<00:14:49.100> everyone<00:14:49.790> has<00:14:49.910> a<00:14:49.940> TOC 00:14:50.200 --> 00:14:50.210 align:start position:0% questions there ok everyone has a TOC 00:14:50.210 --> 00:14:52.930 align:start position:0% questions there ok everyone has a TOC slide<00:14:50.450> that<00:14:50.660> talks<00:14:50.840> all<00:14:51.020> hi<00:14:51.290> mind<00:14:51.530> you<00:14:51.820> one<00:14:52.820> of 00:14:52.930 --> 00:14:52.940 align:start position:0% slide that talks all hi mind you one of 00:14:52.940 --> 00:14:55.180 align:start position:0% slide that talks all hi mind you one of the<00:14:53.390> word<00:14:53.570> that<00:14:53.750> I<00:14:53.780> love<00:14:54.110> from<00:14:54.440> history<00:14:54.890> which 00:14:55.180 --> 00:14:55.190 align:start position:0% the word that I love from history which 00:14:55.190 --> 00:14:57.100 align:start position:0% the word that I love from history which on<00:14:55.340> the<00:14:55.430> island<00:14:55.910> I<00:14:55.970> guess<00:14:56.150> I'll<00:14:56.330> read<00:14:56.510> it<00:14:56.540> not 00:14:57.100 --> 00:14:57.110 align:start position:0% on the island I guess I'll read it not 00:14:57.110 --> 00:14:58.600 align:start position:0% on the island I guess I'll read it not to<00:14:57.290> insult<00:14:57.560> you<00:14:57.710> all<00:14:57.860> without<00:14:58.250> a<00:14:58.430> little 00:14:58.600 --> 00:14:58.610 align:start position:0% to insult you all without a little 00:14:58.610 --> 00:15:00.160 align:start position:0% to insult you all without a little Bachchan<00:14:58.940> organizations<00:14:59.750> have<00:14:59.930> to<00:15:00.050> move 00:15:00.160 --> 00:15:00.170 align:start position:0% Bachchan organizations have to move 00:15:00.170 --> 00:15:02.590 align:start position:0% Bachchan organizations have to move existence<00:15:00.770> it's<00:15:00.980> group<00:15:01.190> of<00:15:01.280> in<00:15:01.550> existence<00:15:02.060> the 00:15:02.590 --> 00:15:02.600 align:start position:0% existence it's group of in existence the 00:15:02.600 --> 00:15:04.030 align:start position:0% existence it's group of in existence the ability<00:15:02.930> prove<00:15:03.080> the<00:15:03.170> message<00:15:03.440> and<00:15:03.620> see<00:15:03.800> what 00:15:04.030 --> 00:15:04.040 align:start position:0% ability prove the message and see what 00:15:04.040 --> 00:15:06.130 align:start position:0% ability prove the message and see what and<00:15:04.190> all<00:15:04.280> answer<00:15:04.760> depends<00:15:05.180> beside<00:15:05.570> other 00:15:06.130 --> 00:15:06.140 align:start position:0% and all answer depends beside other 00:15:06.140 --> 00:15:08.260 align:start position:0% and all answer depends beside other messages<00:15:06.560> sunshine<00:15:06.860> has<00:15:07.400> not<00:15:07.820> been<00:15:08.120> published 00:15:08.260 --> 00:15:08.270 align:start position:0% messages sunshine has not been published 00:15:08.270 --> 00:15:10.480 align:start position:0% messages sunshine has not been published yet<00:15:08.540> so<00:15:09.110> this<00:15:09.260> is<00:15:09.350> very<00:15:09.650> often<00:15:09.920> a<00:15:10.160> property 00:15:10.480 --> 00:15:10.490 align:start position:0% yet so this is very often a property 00:15:10.490 --> 00:15:12.430 align:start position:0% yet so this is very often a property that<00:15:10.550> we<00:15:10.700> see<00:15:10.940> in<00:15:11.180> our<00:15:11.510> LG<00:15:11.780> protocols 00:15:12.430 --> 00:15:12.440 align:start position:0% that we see in our LG protocols 00:15:12.440 --> 00:15:14.620 align:start position:0% that we see in our LG protocols someone<00:15:12.860> makes<00:15:13.040> a<00:15:13.130> challenge<00:15:13.610> and<00:15:13.820> there<00:15:14.480> is<00:15:14.600> a 00:15:14.620 --> 00:15:14.630 align:start position:0% someone makes a challenge and there is a 00:15:14.630 --> 00:15:16.450 align:start position:0% someone makes a challenge and there is a possible<00:15:15.080> response<00:15:15.290> that<00:15:15.589> could<00:15:15.650> be<00:15:15.770> made<00:15:15.980> but 00:15:16.450 --> 00:15:16.460 align:start position:0% possible response that could be made but 00:15:16.460 --> 00:15:18.100 align:start position:0% possible response that could be made but after<00:15:16.700> some<00:15:16.880> time<00:15:16.910> out<00:15:17.240> that<00:15:17.420> response<00:15:17.750> isn't 00:15:18.100 --> 00:15:18.110 align:start position:0% after some time out that response isn't 00:15:18.110 --> 00:15:20.650 align:start position:0% after some time out that response isn't me<00:15:18.200> and<00:15:18.440> we<00:15:18.620> take<00:15:18.860> that<00:15:18.890> as<00:15:19.490> to<00:15:19.760> say<00:15:19.940> well<00:15:20.270> this 00:15:20.650 --> 00:15:20.660 align:start position:0% me and we take that as to say well this 00:15:20.660 --> 00:15:22.840 align:start position:0% me and we take that as to say well this must<00:15:20.870> be<00:15:20.960> the<00:15:21.050> response<00:15:21.470> doesn't<00:15:21.890> exist 00:15:22.840 --> 00:15:22.850 align:start position:0% must be the response doesn't exist 00:15:22.850 --> 00:15:25.600 align:start position:0% must be the response doesn't exist ok<00:15:23.330> and<00:15:23.420> so<00:15:23.750> existence<00:15:24.380> particularly<00:15:24.920> is<00:15:25.550> the 00:15:25.600 --> 00:15:25.610 align:start position:0% ok and so existence particularly is the 00:15:25.610 --> 00:15:26.950 align:start position:0% ok and so existence particularly is the word<00:15:25.880> here<00:15:26.060> I<00:15:26.089> want<00:15:26.270> to<00:15:26.300> pull<00:15:26.420> out<00:15:26.540> so<00:15:26.810> we've 00:15:26.950 --> 00:15:26.960 align:start position:0% word here I want to pull out so we've 00:15:26.960 --> 00:15:28.960 align:start position:0% word here I want to pull out so we've seen<00:15:27.170> some<00:15:27.410> challenges<00:15:28.250> you've<00:15:28.580> seen<00:15:28.790> some 00:15:28.960 --> 00:15:28.970 align:start position:0% seen some challenges you've seen some 00:15:28.970 --> 00:15:31.360 align:start position:0% seen some challenges you've seen some for<00:15:29.240> all's<00:15:29.420> and<00:15:29.870> we've<00:15:30.290> seen<00:15:30.470> existence<00:15:31.010> and 00:15:31.360 --> 00:15:31.370 align:start position:0% for all's and we've seen existence and 00:15:31.370 --> 00:15:33.480 align:start position:0% for all's and we've seen existence and it<00:15:32.000> turns<00:15:32.240> out<00:15:32.420> that<00:15:32.780> there<00:15:32.990> is<00:15:33.080> something 00:15:33.480 --> 00:15:33.490 align:start position:0% it turns out that there is something 00:15:33.490 --> 00:15:38.170 align:start position:0% it turns out that there is something that<00:15:34.490> has<00:15:34.790> a<00:15:35.240> lot<00:15:35.839> of<00:15:36.110> those<00:15:36.350> same<00:15:36.710> words<00:15:37.040> ok<00:15:37.640> so 00:15:38.170 --> 00:15:38.180 align:start position:0% that has a lot of those same words ok so 00:15:38.180 --> 00:15:39.910 align:start position:0% that has a lot of those same words ok so it's<00:15:38.300> most<00:15:38.480> first-order<00:15:38.900> logic<00:15:39.140> right<00:15:39.680> this 00:15:39.910 --> 00:15:39.920 align:start position:0% it's most first-order logic right this 00:15:39.920 --> 00:15:42.280 align:start position:0% it's most first-order logic right this is<00:15:40.070> your<00:15:40.220> answer<00:15:40.580> Lawrence<00:15:41.030> or<00:15:41.180> not<00:15:41.330> this<00:15:42.140> is 00:15:42.280 --> 00:15:42.290 align:start position:0% is your answer Lawrence or not this is 00:15:42.290 --> 00:15:45.190 align:start position:0% is your answer Lawrence or not this is her<00:15:42.410> for<00:15:42.680> all's<00:15:42.890> and<00:15:43.220> your<00:15:43.339> exists<00:15:44.080> so<00:15:45.080> what 00:15:45.190 --> 00:15:45.200 align:start position:0% her for all's and your exists so what 00:15:45.200 --> 00:15:45.970 align:start position:0% her for all's and your exists so what we're<00:15:45.290> going<00:15:45.380> to<00:15:45.440> go<00:15:45.530> through<00:15:45.740> them<00:15:45.830> in<00:15:45.890> the 00:15:45.970 --> 00:15:45.980 align:start position:0% we're going to go through them in the 00:15:45.980 --> 00:15:46.970 align:start position:0% we're going to go through them in the rest<00:15:46.130> of<00:15:46.220> this<00:15:46.339> is<00:15:46.610> we're 00:15:46.970 --> 00:15:46.980 align:start position:0% rest of this is we're 00:15:46.980 --> 00:15:48.560 align:start position:0% rest of this is we're to<00:15:47.100> look<00:15:47.280> at<00:15:47.430> this<00:15:47.550> within<00:15:47.820> the<00:15:48.000> context<00:15:48.480> of 00:15:48.560 --> 00:15:48.570 align:start position:0% to look at this within the context of 00:15:48.570 --> 00:15:51.860 align:start position:0% to look at this within the context of layer<00:15:48.750> two<00:15:48.990> right<00:15:50.210> so<00:15:51.210> we<00:15:51.330> looked<00:15:51.540> at<00:15:51.630> this<00:15:51.720> for 00:15:51.860 --> 00:15:51.870 align:start position:0% layer two right so we looked at this for 00:15:51.870 --> 00:15:53.870 align:start position:0% layer two right so we looked at this for a<00:15:51.930> while<00:15:52.080> and<00:15:52.440> it<00:15:52.560> was<00:15:53.010> very<00:15:53.280> interesting<00:15:53.850> to 00:15:53.870 --> 00:15:53.880 align:start position:0% a while and it was very interesting to 00:15:53.880 --> 00:15:55.520 align:start position:0% a while and it was very interesting to us<00:15:54.030> as<00:15:54.330> researchers<00:15:54.870> that<00:15:55.050> there<00:15:55.230> were<00:15:55.320> sort 00:15:55.520 --> 00:15:55.530 align:start position:0% us as researchers that there were sort 00:15:55.530 --> 00:15:57.290 align:start position:0% us as researchers that there were sort of<00:15:55.590> analogies<00:15:56.130> here<00:15:56.160> and<00:15:56.580> we<00:15:56.790> came<00:15:56.970> up<00:15:57.090> and 00:15:57.290 --> 00:15:57.300 align:start position:0% of analogies here and we came up and 00:15:57.300 --> 00:15:58.580 align:start position:0% of analogies here and we came up and tried<00:15:57.480> to<00:15:57.510> come<00:15:57.720> up<00:15:57.750> with<00:15:57.900> some<00:15:58.050> designs<00:15:58.350> for 00:15:58.580 --> 00:15:58.590 align:start position:0% tried to come up with some designs for 00:15:58.590 --> 00:16:00.260 align:start position:0% tried to come up with some designs for how<00:15:58.710> this<00:15:58.890> could<00:15:59.070> be<00:15:59.550> sort<00:15:59.760> of<00:15:59.820> integrated 00:16:00.260 --> 00:16:00.270 align:start position:0% how this could be sort of integrated 00:16:00.270 --> 00:16:02.210 align:start position:0% how this could be sort of integrated into<00:16:00.450> altitude<00:16:00.540> from<00:16:00.840> fact<00:16:01.080> in<00:16:01.260> practice<00:16:01.380> took 00:16:02.210 --> 00:16:02.220 align:start position:0% into altitude from fact in practice took 00:16:02.220 --> 00:16:03.890 align:start position:0% into altitude from fact in practice took us<00:16:02.310> to<00:16:02.400> ultra<00:16:02.760> it<00:16:02.970> took<00:16:03.090> us<00:16:03.150> a<00:16:03.210> while<00:16:03.390> to<00:16:03.450> hit 00:16:03.890 --> 00:16:03.900 align:start position:0% us to ultra it took us a while to hit 00:16:03.900 --> 00:16:05.960 align:start position:0% us to ultra it took us a while to hit one<00:16:04.110> that<00:16:04.320> we<00:16:04.440> thought<00:16:04.590> was<00:16:04.680> pretty<00:16:04.920> solid<00:16:05.100> but 00:16:05.960 --> 00:16:05.970 align:start position:0% one that we thought was pretty solid but 00:16:05.970 --> 00:16:08.420 align:start position:0% one that we thought was pretty solid but a<00:16:06.030> big<00:16:06.390> big<00:16:06.810> key<00:16:07.290> moment<00:16:07.980> that<00:16:08.130> helped<00:16:08.370> us 00:16:08.420 --> 00:16:08.430 align:start position:0% a big big key moment that helped us 00:16:08.430 --> 00:16:10.430 align:start position:0% a big big key moment that helped us understand<00:16:08.910> this<00:16:09.030> was<00:16:09.690> response<00:16:10.050> I<00:16:10.230> called 00:16:10.430 --> 00:16:10.440 align:start position:0% understand this was response I called 00:16:10.440 --> 00:16:13.880 align:start position:0% understand this was response I called dialogical<00:16:11.400> logic<00:16:11.970> okay<00:16:12.510> this<00:16:13.410> is<00:16:13.500> related<00:16:13.860> to 00:16:13.880 --> 00:16:13.890 align:start position:0% dialogical logic okay this is related to 00:16:13.890 --> 00:16:15.770 align:start position:0% dialogical logic okay this is related to the<00:16:14.070> broader<00:16:14.310> Kill<00:16:14.550> Bill<00:16:14.580> game<00:16:15.030> semantics<00:16:15.660> and 00:16:15.770 --> 00:16:15.780 align:start position:0% the broader Kill Bill game semantics and 00:16:15.780 --> 00:16:16.940 align:start position:0% the broader Kill Bill game semantics and I<00:16:15.870> started<00:16:16.170> this<00:16:16.230> talk<00:16:16.290> by<00:16:16.530> saying<00:16:16.710> game 00:16:16.940 --> 00:16:16.950 align:start position:0% I started this talk by saying game 00:16:16.950 --> 00:16:19.880 align:start position:0% I started this talk by saying game semantics<00:16:17.550> right<00:16:17.730> so<00:16:18.690> dialogical<00:16:19.290> logic<00:16:19.710> is 00:16:19.880 --> 00:16:19.890 align:start position:0% semantics right so dialogical logic is 00:16:19.890 --> 00:16:22.100 align:start position:0% semantics right so dialogical logic is an<00:16:19.980> interpretation<00:16:20.550> of<00:16:21.030> these<00:16:21.660> first<00:16:21.930> order 00:16:22.100 --> 00:16:22.110 align:start position:0% an interpretation of these first order 00:16:22.110 --> 00:16:24.470 align:start position:0% an interpretation of these first order logic<00:16:22.350> sort<00:16:23.100> of<00:16:23.160> expressions<00:16:23.760> and<00:16:24.330> in 00:16:24.470 --> 00:16:24.480 align:start position:0% logic sort of expressions and in 00:16:24.480 --> 00:16:25.760 align:start position:0% logic sort of expressions and in evaluating<00:16:25.020> whether<00:16:25.230> the<00:16:25.410> truths<00:16:25.650> are 00:16:25.760 --> 00:16:25.770 align:start position:0% evaluating whether the truths are 00:16:25.770 --> 00:16:27.560 align:start position:0% evaluating whether the truths are possible<00:16:26.130> by<00:16:26.400> interpreting<00:16:26.970> each<00:16:27.180> expression 00:16:27.560 --> 00:16:27.570 align:start position:0% possible by interpreting each expression 00:16:27.570 --> 00:16:31.040 align:start position:0% possible by interpreting each expression as<00:16:28.020> a<00:16:28.740> game<00:16:29.130> and<00:16:29.970> then<00:16:30.090> interprets<00:16:30.450> truth<00:16:30.780> of 00:16:31.040 --> 00:16:31.050 align:start position:0% as a game and then interprets truth of 00:16:31.050 --> 00:16:32.780 align:start position:0% as a game and then interprets truth of this<00:16:31.170> expression<00:16:31.710> as<00:16:32.070> the<00:16:32.250> existence<00:16:32.610> of<00:16:32.730> a 00:16:32.780 --> 00:16:32.790 align:start position:0% this expression as the existence of a 00:16:32.790 --> 00:16:35.720 align:start position:0% this expression as the existence of a winning<00:16:33.180> or<00:16:33.360> losing<00:16:33.570> strategy<00:16:34.320> for<00:16:35.280> the 00:16:35.720 --> 00:16:35.730 align:start position:0% winning or losing strategy for the 00:16:35.730 --> 00:16:37.760 align:start position:0% winning or losing strategy for the equivalent<00:16:36.060> game<00:16:36.600> okay<00:16:37.140> so<00:16:37.290> this<00:16:37.470> is<00:16:37.620> very 00:16:37.760 --> 00:16:37.770 align:start position:0% equivalent game okay so this is very 00:16:37.770 --> 00:16:39.500 align:start position:0% equivalent game okay so this is very interesting<00:16:38.040> and<00:16:38.490> just<00:16:38.880> for<00:16:39.030> context<00:16:39.300> of 00:16:39.500 --> 00:16:39.510 align:start position:0% interesting and just for context of 00:16:39.510 --> 00:16:41.300 align:start position:0% interesting and just for context of semantics<00:16:40.020> it<00:16:40.140> took<00:16:40.230> me<00:16:40.290> a<00:16:40.320> long<00:16:40.560> time<00:16:40.620> to 00:16:41.300 --> 00:16:41.310 align:start position:0% semantics it took me a long time to 00:16:41.310 --> 00:16:42.860 align:start position:0% semantics it took me a long time to figure<00:16:41.430> out<00:16:41.550> semantics<00:16:42.150> methods<00:16:42.540> are<00:16:42.750> not 00:16:42.860 --> 00:16:42.870 align:start position:0% figure out semantics methods are not 00:16:42.870 --> 00:16:45.110 align:start position:0% figure out semantics methods are not really<00:16:43.440> you<00:16:44.220> know<00:16:44.250> I've<00:16:44.490> never<00:16:44.730> taken<00:16:44.970> a 00:16:45.110 --> 00:16:45.120 align:start position:0% really you know I've never taken a 00:16:45.120 --> 00:16:47.600 align:start position:0% really you know I've never taken a semantic<00:16:45.750> score<00:16:46.140> sir<00:16:46.350> so<00:16:46.950> semantics<00:16:47.340> is<00:16:47.430> like 00:16:47.600 --> 00:16:47.610 align:start position:0% semantic score sir so semantics is like 00:16:47.610 --> 00:16:49.760 align:start position:0% semantic score sir so semantics is like meaning<00:16:47.880> like<00:16:48.060> so<00:16:48.690> first-order<00:16:49.050> logic<00:16:49.290> like 00:16:49.760 --> 00:16:49.770 align:start position:0% meaning like so first-order logic like 00:16:49.770 --> 00:16:51.590 align:start position:0% meaning like so first-order logic like there's<00:16:50.010> actually<00:16:50.280> lots<00:16:50.460> of<00:16:50.640> logics<00:16:51.210> which 00:16:51.590 --> 00:16:51.600 align:start position:0% there's actually lots of logics which 00:16:51.600 --> 00:16:54.200 align:start position:0% there's actually lots of logics which are<00:16:51.750> sort<00:16:51.930> of<00:16:52.020> satisfied<00:16:52.590> by<00:16:52.950> the<00:16:53.700> language 00:16:54.200 --> 00:16:54.210 align:start position:0% are sort of satisfied by the language 00:16:54.210 --> 00:16:56.030 align:start position:0% are sort of satisfied by the language that<00:16:54.420> uses<00:16:54.690> for<00:16:54.930> all<00:16:55.050> and<00:16:55.350> this<00:16:55.590> ranking<00:16:55.920> so 00:16:56.030 --> 00:16:56.040 align:start position:0% that uses for all and this ranking so 00:16:56.040 --> 00:16:57.140 align:start position:0% that uses for all and this ranking so these<00:16:56.130> are<00:16:56.280> very<00:16:56.430> important<00:16:56.790> by<00:16:56.880> the<00:16:56.910> way<00:16:57.030> so 00:16:57.140 --> 00:16:57.150 align:start position:0% these are very important by the way so 00:16:57.150 --> 00:16:59.120 align:start position:0% these are very important by the way so remember<00:16:57.690> the<00:16:57.990> outside<00:16:58.260> that<00:16:58.350> a<00:16:58.560> is<00:16:58.620> like<00:16:58.860> for 00:16:59.120 --> 00:16:59.130 align:start position:0% remember the outside that a is like for 00:16:59.130 --> 00:17:00.590 align:start position:0% remember the outside that a is like for all<00:16:59.250> of<00:16:59.460> the<00:16:59.550> I<00:16:59.580> don't<00:16:59.700> know<00:16:59.850> line<00:17:00.060> for<00:17:00.360> those<00:17:00.480> I 00:17:00.590 --> 00:17:00.600 align:start position:0% all of the I don't know line for those I 00:17:00.600 --> 00:17:02.540 align:start position:0% all of the I don't know line for those I already<00:17:00.930> knew<00:17:01.080> the<00:17:01.320> backwards<00:17:01.950> to<00:17:02.070> use<00:17:02.190> exist 00:17:02.540 --> 00:17:02.550 align:start position:0% already knew the backwards to use exist 00:17:02.550 --> 00:17:05.620 align:start position:0% already knew the backwards to use exist like<00:17:02.640> this<00:17:02.700> one<00:17:02.880> just<00:17:03.000> like<00:17:03.120> inverted<00:17:03.420> letters 00:17:05.620 --> 00:17:05.630 align:start position:0% like this one just like inverted letters 00:17:05.630 --> 00:17:17.539 align:start position:0% like this one just like inverted letters what's<00:17:06.630> up<00:17:06.809> otherwise<00:17:07.230> they<00:17:16.130> so<00:17:17.130> so<00:17:17.399> it's 00:17:17.539 --> 00:17:17.549 align:start position:0% what's up otherwise they so so it's 00:17:17.549 --> 00:17:18.590 align:start position:0% what's up otherwise they so so it's worth<00:17:17.760> understanding<00:17:17.909> that<00:17:18.390> there<00:17:18.539> are 00:17:18.590 --> 00:17:18.600 align:start position:0% worth understanding that there are 00:17:18.600 --> 00:17:20.630 align:start position:0% worth understanding that there are different<00:17:18.959> semantics<00:17:19.740> okay 00:17:20.630 --> 00:17:20.640 align:start position:0% different semantics okay 00:17:20.640 --> 00:17:23.059 align:start position:0% different semantics okay for<00:17:21.209> the<00:17:21.600> same<00:17:21.809> sort<00:17:22.079> of<00:17:22.110> language<00:17:22.529> of<00:17:22.709> persona 00:17:23.059 --> 00:17:23.069 align:start position:0% for the same sort of language of persona 00:17:23.069 --> 00:17:25.220 align:start position:0% for the same sort of language of persona logic<00:17:23.490> okay<00:17:23.789> so<00:17:24.209> next<00:17:24.329> I<00:17:24.480> simply<00:17:24.750> example<00:17:25.049> this 00:17:25.220 --> 00:17:25.230 align:start position:0% logic okay so next I simply example this 00:17:25.230 --> 00:17:27.169 align:start position:0% logic okay so next I simply example this is<00:17:25.350> like<00:17:25.500> classical<00:17:26.279> logic<00:17:26.459> is<00:17:26.819> the<00:17:26.939> one<00:17:27.089> that 00:17:27.169 --> 00:17:27.179 align:start position:0% is like classical logic is the one that 00:17:27.179 --> 00:17:28.940 align:start position:0% is like classical logic is the one that you<00:17:27.299> learn<00:17:27.480> in<00:17:27.630> logic<00:17:27.929> 101<00:17:28.380> is<00:17:28.529> what<00:17:28.710> I<00:17:28.740> wants 00:17:28.940 --> 00:17:28.950 align:start position:0% you learn in logic 101 is what I wants 00:17:28.950 --> 00:17:30.980 align:start position:0% you learn in logic 101 is what I wants mirror<00:17:29.250> with<00:17:29.580> and<00:17:29.880> this<00:17:30.390> is<00:17:30.450> this<00:17:30.659> you<00:17:30.870> know 00:17:30.980 --> 00:17:30.990 align:start position:0% mirror with and this is this you know 00:17:30.990 --> 00:17:32.180 align:start position:0% mirror with and this is this you know where<00:17:31.140> you<00:17:31.200> can<00:17:31.350> prove<00:17:31.529> something<00:17:31.830> like<00:17:31.950> true 00:17:32.180 --> 00:17:32.190 align:start position:0% where you can prove something like true 00:17:32.190 --> 00:17:33.710 align:start position:0% where you can prove something like true or<00:17:32.549> false<00:17:32.789> right 00:17:33.710 --> 00:17:33.720 align:start position:0% or false right 00:17:33.720 --> 00:17:35.360 align:start position:0% or false right there's<00:17:33.960> also<00:17:34.260> called<00:17:34.470> intuitionistic<00:17:35.159> logic 00:17:35.360 --> 00:17:35.370 align:start position:0% there's also called intuitionistic logic 00:17:35.370 --> 00:17:38.120 align:start position:0% there's also called intuitionistic logic which<00:17:36.210> in<00:17:36.510> turn<00:17:36.659> size<00:17:36.840> does<00:17:37.020> not<00:17:37.049> it<00:17:37.770> was<00:17:37.980> like 00:17:38.120 --> 00:17:38.130 align:start position:0% which in turn size does not it was like 00:17:38.130 --> 00:17:39.649 align:start position:0% which in turn size does not it was like philosophers<00:17:38.640> arguing<00:17:39.059> about<00:17:39.149> logic<00:17:39.539> it's 00:17:39.649 --> 00:17:39.659 align:start position:0% philosophers arguing about logic it's 00:17:39.659 --> 00:17:40.909 align:start position:0% philosophers arguing about logic it's saying<00:17:39.779> we<00:17:40.230> don't<00:17:40.289> like<00:17:40.380> this<00:17:40.559> thing<00:17:40.740> called 00:17:40.909 --> 00:17:40.919 align:start position:0% saying we don't like this thing called 00:17:40.919 --> 00:17:42.080 align:start position:0% saying we don't like this thing called the<00:17:41.010> law<00:17:41.039> of<00:17:41.250> excluded<00:17:41.490> middle<00:17:41.789> so<00:17:42.029> in 00:17:42.080 --> 00:17:42.090 align:start position:0% the law of excluded middle so in 00:17:42.090 --> 00:17:44.539 align:start position:0% the law of excluded middle so in classical<00:17:42.330> logic<00:17:42.720> for<00:17:43.529> any<00:17:43.679> proposition<00:17:44.340> P 00:17:44.539 --> 00:17:44.549 align:start position:0% classical logic for any proposition P 00:17:44.549 --> 00:17:47.840 align:start position:0% classical logic for any proposition P you<00:17:45.029> can<00:17:45.059> say<00:17:45.510> P<00:17:46.110> or<00:17:46.289> not<00:17:46.409> P<00:17:46.590> right<00:17:47.370> you<00:17:47.549> can<00:17:47.700> end 00:17:47.840 --> 00:17:47.850 align:start position:0% you can say P or not P right you can end 00:17:47.850 --> 00:17:49.070 align:start position:0% you can say P or not P right you can end them<00:17:47.940> that<00:17:48.059> that's<00:17:48.149> decided<00:17:48.630> to<00:17:48.690> be<00:17:48.779> true 00:17:49.070 --> 00:17:49.080 align:start position:0% them that that's decided to be true 00:17:49.080 --> 00:17:50.899 align:start position:0% them that that's decided to be true sounds<00:17:49.679> reasonable<00:17:49.860> rights<00:17:50.279> leads<00:17:50.490> to<00:17:50.669> true 00:17:50.899 --> 00:17:50.909 align:start position:0% sounds reasonable rights leads to true 00:17:50.909 --> 00:17:52.639 align:start position:0% sounds reasonable rights leads to true or<00:17:50.940> its<00:17:51.299> false<00:17:51.360> but<00:17:52.169> apparently<00:17:52.470> these 00:17:52.639 --> 00:17:52.649 align:start position:0% or its false but apparently these 00:17:52.649 --> 00:17:54.529 align:start position:0% or its false but apparently these phosphor<00:17:53.070> guys<00:17:53.250> will<00:17:53.429> have<00:17:53.789> aluminum<00:17:54.299> can 00:17:54.529 --> 00:17:54.539 align:start position:0% phosphor guys will have aluminum can 00:17:54.539 --> 00:17:56.060 align:start position:0% phosphor guys will have aluminum can begin<00:17:54.750> secured<00:17:55.049> files<00:17:55.289> like<00:17:55.529> maybe<00:17:55.740> something 00:17:56.060 --> 00:17:56.070 align:start position:0% begin secured files like maybe something 00:17:56.070 --> 00:17:58.580 align:start position:0% begin secured files like maybe something not<00:17:56.460> right<00:17:56.970> and<00:17:57.149> so<00:17:57.570> intuitionistic<00:17:58.080> logic<00:17:58.230> is 00:17:58.580 --> 00:17:58.590 align:start position:0% not right and so intuitionistic logic is 00:17:58.590 --> 00:18:00.110 align:start position:0% not right and so intuitionistic logic is like<00:17:58.710> a<00:17:58.799> version<00:17:59.010> of<00:17:59.220> logic<00:17:59.549> which<00:17:59.669> removes 00:18:00.110 --> 00:18:00.120 align:start position:0% like a version of logic which removes 00:18:00.120 --> 00:18:03.169 align:start position:0% like a version of logic which removes the<00:18:00.360> ability<00:18:00.510> to<00:18:01.020> say<00:18:01.350> room<00:18:01.919> or<00:18:02.220> the<00:18:02.520> R<00:18:02.669> P<00:18:02.909> or 00:18:03.169 --> 00:18:03.179 align:start position:0% the ability to say room or the R P or 00:18:03.179 --> 00:18:06.260 align:start position:0% the ability to say room or the R P or not<00:18:03.210> P<00:18:03.419> ok<00:18:04.250> so<00:18:05.250> these<00:18:05.460> are<00:18:05.520> semantics 00:18:06.260 --> 00:18:06.270 align:start position:0% not P ok so these are semantics 00:18:06.270 --> 00:18:08.299 align:start position:0% not P ok so these are semantics depending<00:18:06.630> on<00:18:06.720> how<00:18:06.840> you<00:18:06.899> interpret<00:18:07.409> what<00:18:08.039> the 00:18:08.299 --> 00:18:08.309 align:start position:0% depending on how you interpret what the 00:18:08.309 --> 00:18:10.880 align:start position:0% depending on how you interpret what the language<00:18:08.490> means<00:18:09.590> these<00:18:10.590> are<00:18:10.740> called 00:18:10.880 --> 00:18:10.890 align:start position:0% language means these are called 00:18:10.890 --> 00:18:12.500 align:start position:0% language means these are called semantics<00:18:11.429> and<00:18:11.610> so<00:18:11.700> we<00:18:11.850> one<00:18:12.029> of<00:18:12.149> one<00:18:12.270> of<00:18:12.360> these 00:18:12.500 --> 00:18:12.510 align:start position:0% semantics and so we one of one of these 00:18:12.510 --> 00:18:14.810 align:start position:0% semantics and so we one of one of these for<00:18:12.990> layer<00:18:13.260> two<00:18:13.649> so<00:18:14.340> we're<00:18:14.460> gonna<00:18:14.580> call<00:18:14.700> out 00:18:14.810 --> 00:18:14.820 align:start position:0% for layer two so we're gonna call out 00:18:14.820 --> 00:18:16.190 align:start position:0% for layer two so we're gonna call out optimistic<00:18:15.390> game<00:18:15.539> semantics<00:18:16.049> because 00:18:16.190 --> 00:18:16.200 align:start position:0% optimistic game semantics because 00:18:16.200 --> 00:18:17.960 align:start position:0% optimistic game semantics because basically<00:18:16.679> the<00:18:17.010> way<00:18:17.100> the<00:18:17.220> layer<00:18:17.370> to<00:18:17.610> the 00:18:17.960 --> 00:18:17.970 align:start position:0% basically the way the layer to the 00:18:17.970 --> 00:18:19.490 align:start position:0% basically the way the layer to the scales<00:18:18.240> is<00:18:18.480> you<00:18:18.570> might<00:18:18.720> give<00:18:18.870> you<00:18:19.020> an 00:18:19.490 --> 00:18:19.500 align:start position:0% scales is you might give you an 00:18:19.500 --> 00:18:20.899 align:start position:0% scales is you might give you an optimistic<00:18:19.919> property<00:18:20.370> and<00:18:20.610> assume<00:18:20.880> that 00:18:20.899 --> 00:18:20.909 align:start position:0% optimistic property and assume that 00:18:20.909 --> 00:18:22.789 align:start position:0% optimistic property and assume that everyone's<00:18:21.299> going<00:18:21.390> to<00:18:21.480> play<00:18:21.600> long<00:18:21.840> and<00:18:22.140> so<00:18:22.710> the 00:18:22.789 --> 00:18:22.799 align:start position:0% everyone's going to play long and so the 00:18:22.799 --> 00:18:24.019 align:start position:0% everyone's going to play long and so the blockchain<00:18:23.010> has<00:18:23.279> to<00:18:23.370> process<00:18:23.760> less 00:18:24.019 --> 00:18:24.029 align:start position:0% blockchain has to process less 00:18:24.029 --> 00:18:25.940 align:start position:0% blockchain has to process less information<00:18:24.390> for<00:18:25.110> the<00:18:25.200> total<00:18:25.440> computation 00:18:25.940 --> 00:18:25.950 align:start position:0% information for the total computation 00:18:25.950 --> 00:18:27.680 align:start position:0% information for the total computation that<00:18:25.980> went<00:18:26.309> into<00:18:26.640> the<00:18:26.820> state<00:18:27.090> machine<00:18:27.360> that 00:18:27.680 --> 00:18:27.690 align:start position:0% that went into the state machine that 00:18:27.690 --> 00:18:30.139 align:start position:0% that went into the state machine that was<00:18:28.289> running<00:18:28.590> off<00:18:28.830> chain<00:18:29.399> of<00:18:29.730> day<00:18:29.880> that<00:18:30.059> was 00:18:30.139 --> 00:18:30.149 align:start position:0% was running off chain of day that was 00:18:30.149 --> 00:18:32.930 align:start position:0% was running off chain of day that was making<00:18:30.330> these<00:18:30.510> optimistic<00:18:31.350> decisions<00:18:32.010> okay 00:18:32.930 --> 00:18:32.940 align:start position:0% making these optimistic decisions okay 00:18:32.940 --> 00:18:34.730 align:start position:0% making these optimistic decisions okay so<00:18:33.390> that<00:18:33.539> was<00:18:33.659> a<00:18:33.690> lot<00:18:33.899> so<00:18:34.080> I<00:18:34.140> hope<00:18:34.409> that<00:18:34.440> we<00:18:34.710> have 00:18:34.730 --> 00:18:34.740 align:start position:0% so that was a lot so I hope that we have 00:18:34.740 --> 00:18:46.590 align:start position:0% so that was a lot so I hope that we have some<00:18:35.010> questions<00:18:35.159> at<00:18:35.549> this<00:18:35.640> point<00:18:35.730> time 00:18:46.590 --> 00:18:46.600 align:start position:0% 00:18:46.600 --> 00:18:48.330 align:start position:0% ah<00:18:46.630> so<00:18:47.590> that's<00:18:47.710> them<00:18:47.890> the<00:18:48.010> rest<00:18:48.220> of<00:18:48.250> the 00:18:48.330 --> 00:18:48.340 align:start position:0% ah so that's them the rest of the 00:18:48.340 --> 00:18:53.280 align:start position:0% ah so that's them the rest of the presentation<00:18:49.920> give<00:18:50.920> you<00:18:51.010> a<00:18:51.720> simple<00:18:52.720> example 00:18:53.280 --> 00:18:53.290 align:start position:0% presentation give you a simple example 00:18:53.290 --> 00:18:55.860 align:start position:0% presentation give you a simple example okay<00:18:53.530> so<00:18:54.040> illogical<00:18:54.790> was<00:18:55.360> it<00:18:55.450> on<00:18:55.570> this<00:18:55.660> later 00:18:55.860 --> 00:18:55.870 align:start position:0% okay so illogical was it on this later 00:18:55.870 --> 00:18:57.300 align:start position:0% okay so illogical was it on this later but<00:18:56.050> in<00:18:56.230> logic<00:18:56.590> they're<00:18:56.740> these<00:18:56.860> things<00:18:57.100> called 00:18:57.300 --> 00:18:57.310 align:start position:0% but in logic they're these things called 00:18:57.310 --> 00:18:59.040 align:start position:0% but in logic they're these things called atomic<00:18:57.670> predicate<00:18:58.210> okay<00:18:58.540> so<00:18:58.870> it's<00:18:58.990> very 00:18:59.040 --> 00:18:59.050 align:start position:0% atomic predicate okay so it's very 00:18:59.050 --> 00:19:00.720 align:start position:0% atomic predicate okay so it's very simple<00:18:59.380> atomic<00:18:59.800> predicate<00:19:00.160> slickness 00:19:00.720 --> 00:19:00.730 align:start position:0% simple atomic predicate slickness 00:19:00.730 --> 00:19:03.000 align:start position:0% simple atomic predicate slickness right<00:19:01.120> right<00:19:01.480> like<00:19:01.690> you<00:19:02.020> know<00:19:02.140> one<00:19:02.380> equals<00:19:02.800> two 00:19:03.000 --> 00:19:03.010 align:start position:0% right right like you know one equals two 00:19:03.010 --> 00:19:04.890 align:start position:0% right right like you know one equals two is<00:19:03.340> either<00:19:03.820> true<00:19:04.060> or<00:19:04.090> false<00:19:04.210> I<00:19:04.600> think<00:19:04.810> it's 00:19:04.890 --> 00:19:04.900 align:start position:0% is either true or false I think it's 00:19:04.900 --> 00:19:09.090 align:start position:0% is either true or false I think it's false<00:19:05.130> yes<00:19:06.270> and<00:19:07.270> so<00:19:07.810> on<00:19:07.900> and<00:19:08.020> so<00:19:08.110> forth<00:19:08.320> so<00:19:08.710> here 00:19:09.090 --> 00:19:09.100 align:start position:0% false yes and so on and so forth so here 00:19:09.100 --> 00:19:10.560 align:start position:0% false yes and so on and so forth so here just<00:19:09.520> gives<00:19:09.700> another<00:19:09.850> example<00:19:10.210> of<00:19:10.240> an<00:19:10.360> atomic 00:19:10.560 --> 00:19:10.570 align:start position:0% just gives another example of an atomic 00:19:10.570 --> 00:19:15.690 align:start position:0% just gives another example of an atomic try<00:19:10.870> to<00:19:10.930> hit<00:19:11.110> okay<00:19:11.610> verify<00:19:14.040> signature<00:19:15.040> okay 00:19:15.690 --> 00:19:15.700 align:start position:0% try to hit okay verify signature okay 00:19:15.700 --> 00:19:17.670 align:start position:0% try to hit okay verify signature okay this<00:19:16.060> is<00:19:16.180> another<00:19:16.390> example<00:19:16.570> of<00:19:16.900> an<00:19:17.050> accredited 00:19:17.670 --> 00:19:17.680 align:start position:0% this is another example of an accredited 00:19:17.680 --> 00:19:21.360 align:start position:0% this is another example of an accredited okay<00:19:18.070> so<00:19:18.640> in<00:19:18.910> state<00:19:19.180> channels<00:19:20.250> what<00:19:21.250> is<00:19:21.340> a 00:19:21.360 --> 00:19:21.370 align:start position:0% okay so in state channels what is a 00:19:21.370 --> 00:19:22.410 align:start position:0% okay so in state channels what is a state<00:19:21.610> channel<00:19:21.910> well<00:19:22.030> you<00:19:22.120> could<00:19:22.240> build<00:19:22.330> a 00:19:22.410 --> 00:19:22.420 align:start position:0% state channel well you could build a 00:19:22.420 --> 00:19:23.760 align:start position:0% state channel well you could build a state<00:19:22.630> channel<00:19:22.870> out<00:19:22.930> a<00:19:23.050> multi-state<00:19:23.590> and 00:19:23.760 --> 00:19:23.770 align:start position:0% state channel out a multi-state and 00:19:23.770 --> 00:19:25.050 align:start position:0% state channel out a multi-state and thankfully<00:19:24.100> the<00:19:24.190> cleanest<00:19:24.460> multi-sensor 00:19:25.050 --> 00:19:25.060 align:start position:0% thankfully the cleanest multi-sensor 00:19:25.060 --> 00:19:26.690 align:start position:0% thankfully the cleanest multi-sensor this<00:19:25.180> is<00:19:25.270> likely<00:19:25.420> going<00:19:25.540> to<00:19:25.810> be<00:19:25.870> two<00:19:26.050> channels 00:19:26.690 --> 00:19:26.700 align:start position:0% this is likely going to be two channels 00:19:26.700 --> 00:19:29.490 align:start position:0% this is likely going to be two channels so<00:19:27.700> here<00:19:28.180> here's<00:19:28.450> an<00:19:28.540> example<00:19:28.780> an<00:19:28.990> intuition 00:19:29.490 --> 00:19:29.500 align:start position:0% so here here's an example an intuition 00:19:29.500 --> 00:19:32.550 align:start position:0% so here here's an example an intuition for<00:19:29.710> how<00:19:29.920> we're<00:19:30.430> going<00:19:30.520> to<00:19:30.640> bistec<00:19:31.500> there's<00:19:32.500> a 00:19:32.550 --> 00:19:32.560 align:start position:0% for how we're going to bistec there's a 00:19:32.560 --> 00:19:33.800 align:start position:0% for how we're going to bistec there's a you<00:19:32.890> can<00:19:33.070> write<00:19:33.250> a<00:19:33.280> function<00:19:33.490> to<00:19:33.670> verify 00:19:33.800 --> 00:19:33.810 align:start position:0% you can write a function to verify 00:19:33.810 --> 00:19:35.760 align:start position:0% you can write a function to verify multi-sig<00:19:34.840> right<00:19:34.990> this<00:19:35.140> is<00:19:35.230> a<00:19:35.290> time<00:19:35.500> try<00:19:35.710> to 00:19:35.760 --> 00:19:35.770 align:start position:0% multi-sig right this is a time try to 00:19:35.770 --> 00:19:37.500 align:start position:0% multi-sig right this is a time try to get<00:19:35.950> that<00:19:36.070> verifies<00:19:36.580> a<00:19:36.610> multi-sig<00:19:37.180> so<00:19:37.330> let's 00:19:37.500 --> 00:19:37.510 align:start position:0% get that verifies a multi-sig so let's 00:19:37.510 --> 00:19:39.060 align:start position:0% get that verifies a multi-sig so let's say<00:19:37.600> there's<00:19:37.780> like<00:19:37.870> some<00:19:38.080> participants<00:19:38.620> right 00:19:39.060 --> 00:19:39.070 align:start position:0% say there's like some participants right 00:19:39.070 --> 00:19:41.400 align:start position:0% say there's like some participants right I'm<00:19:39.220> gonna<00:19:39.310> call<00:19:39.520> these<00:19:39.670> PT<00:19:40.450> PS<00:19:40.810> because<00:19:41.080> I'm<00:19:41.290> a 00:19:41.400 --> 00:19:41.410 align:start position:0% I'm gonna call these PT PS because I'm a 00:19:41.410 --> 00:19:43.200 align:start position:0% I'm gonna call these PT PS because I'm a to<00:19:41.470> get<00:19:41.680> writing<00:19:42.010> okay<00:19:42.370> so<00:19:42.760> let's<00:19:42.940> say<00:19:43.030> there's 00:19:43.200 --> 00:19:43.210 align:start position:0% to get writing okay so let's say there's 00:19:43.210 --> 00:19:45.300 align:start position:0% to get writing okay so let's say there's like<00:19:43.300> five<00:19:43.570> participants<00:19:44.200> right<00:19:44.620> we<00:19:45.160> can 00:19:45.300 --> 00:19:45.310 align:start position:0% like five participants right we can 00:19:45.310 --> 00:19:51.020 align:start position:0% like five participants right we can write<00:19:45.520> a<00:19:45.760> verify<00:19:47.220> right<00:19:48.220> multi-sig 00:19:51.020 --> 00:19:51.030 align:start position:0% 00:19:51.030 --> 00:19:54.250 align:start position:0% right<00:19:51.840> which<00:19:52.410> takes<00:19:52.650> in<00:19:52.770> the<00:19:52.830> participants 00:19:54.250 --> 00:19:54.260 align:start position:0% right which takes in the participants 00:19:54.260 --> 00:19:58.970 align:start position:0% right which takes in the participants right<00:19:55.260> SIG's<00:19:56.900> right<00:19:57.900> a<00:19:57.930> message<00:19:58.530> being<00:19:58.740> signed 00:19:58.970 --> 00:19:58.980 align:start position:0% right SIG's right a message being signed 00:19:58.980 --> 00:20:01.310 align:start position:0% right SIG's right a message being signed right<00:19:59.460> okay<00:20:00.150> so<00:20:00.210> this<00:20:00.510> is<00:20:00.660> another<00:20:00.930> table<00:20:01.260> of 00:20:01.310 --> 00:20:01.320 align:start position:0% right okay so this is another table of 00:20:01.320 --> 00:20:03.260 align:start position:0% right okay so this is another table of atomic<00:20:01.800> predator<00:20:02.430> right<00:20:02.610> I<00:20:02.670> think<00:20:02.850> that<00:20:02.940> value 00:20:03.260 --> 00:20:03.270 align:start position:0% atomic predator right I think that value 00:20:03.270 --> 00:20:05.630 align:start position:0% atomic predator right I think that value isn't<00:20:03.450> your<00:20:03.630> fault<00:20:03.840> would<00:20:04.800> it<00:20:04.860> be<00:20:05.070> nice<00:20:05.280> if 00:20:05.630 --> 00:20:05.640 align:start position:0% isn't your fault would it be nice if 00:20:05.640 --> 00:20:08.480 align:start position:0% isn't your fault would it be nice if it's<00:20:05.910> something<00:20:06.330> to<00:20:06.390> redefine<00:20:06.960> this<00:20:07.260> thing<00:20:07.560> we 00:20:08.480 --> 00:20:08.490 align:start position:0% it's something to redefine this thing we 00:20:08.490 --> 00:20:14.320 align:start position:0% it's something to redefine this thing we could<00:20:08.700> say<00:20:08.940> for<00:20:09.900> all<00:20:10.200> P<00:20:10.800> in<00:20:11.660> participants 00:20:14.320 --> 00:20:14.330 align:start position:0% could say for all P in participants 00:20:14.330 --> 00:20:21.770 align:start position:0% could say for all P in participants verify<00:20:15.330> sick<00:20:19.730> right<00:20:20.730> okay<00:20:21.480> so<00:20:21.540> maybe 00:20:21.770 --> 00:20:21.780 align:start position:0% verify sick right okay so maybe 00:20:21.780 --> 00:20:23.210 align:start position:0% verify sick right okay so maybe hopefully<00:20:22.260> that's<00:20:22.530> an<00:20:22.650> instructive<00:20:23.070> example 00:20:23.210 --> 00:20:23.220 align:start position:0% hopefully that's an instructive example 00:20:23.220 --> 00:20:25.550 align:start position:0% hopefully that's an instructive example so<00:20:24.120> the<00:20:24.330> idea<00:20:24.630> that<00:20:24.690> we're<00:20:24.930> trying<00:20:24.960> to<00:20:25.200> do<00:20:25.350> here 00:20:25.550 --> 00:20:25.560 align:start position:0% so the idea that we're trying to do here 00:20:25.560 --> 00:20:27.590 align:start position:0% so the idea that we're trying to do here is<00:20:25.650> we're<00:20:25.800> trying<00:20:25.890> to<00:20:26.010> pull<00:20:26.280> out<00:20:26.310> these<00:20:27.300> sort 00:20:27.590 --> 00:20:27.600 align:start position:0% is we're trying to pull out these sort 00:20:27.600 --> 00:20:30.350 align:start position:0% is we're trying to pull out these sort of<00:20:27.660> very<00:20:28.590> very<00:20:28.950> like<00:20:29.340> very<00:20:29.580> large<00:20:30.000> your 00:20:30.350 --> 00:20:30.360 align:start position:0% of very very like very large your 00:20:30.360 --> 00:20:33.080 align:start position:0% of very very like very large your monstrosity<00:20:31.550> Frankenstein<00:20:32.550> layer<00:20:32.880> to 00:20:33.080 --> 00:20:33.090 align:start position:0% monstrosity Frankenstein layer to 00:20:33.090 --> 00:20:34.790 align:start position:0% monstrosity Frankenstein layer to solutions<00:20:33.600> where<00:20:34.050> we<00:20:34.080> have<00:20:34.260> to<00:20:34.380> write<00:20:34.590> a<00:20:34.620> bunch 00:20:34.790 --> 00:20:34.800 align:start position:0% solutions where we have to write a bunch 00:20:34.800 --> 00:20:36.860 align:start position:0% solutions where we have to write a bunch of<00:20:34.980> custom<00:20:35.310> things<00:20:35.520> like<00:20:35.730> this<00:20:35.940> and<00:20:36.210> try<00:20:36.840> to 00:20:36.860 --> 00:20:36.870 align:start position:0% of custom things like this and try to 00:20:36.870 --> 00:20:38.630 align:start position:0% of custom things like this and try to like<00:20:37.320> convince<00:20:37.770> them<00:20:38.070> down<00:20:38.280> into<00:20:38.610> a 00:20:38.630 --> 00:20:38.640 align:start position:0% like convince them down into a 00:20:38.640 --> 00:20:40.970 align:start position:0% like convince them down into a composition<00:20:39.030> of<00:20:39.690> these<00:20:40.020> logical<00:20:40.530> statements 00:20:40.970 --> 00:20:40.980 align:start position:0% composition of these logical statements 00:20:40.980 --> 00:20:43.820 align:start position:0% composition of these logical statements okay<00:20:41.280> so<00:20:41.340> we<00:20:41.580> want<00:20:41.670> say<00:20:41.850> for<00:20:42.330> all<00:20:42.570> to<00:20:43.170> the<00:20:43.290> P<00:20:43.560> in 00:20:43.820 --> 00:20:43.830 align:start position:0% okay so we want say for all to the P in 00:20:43.830 --> 00:20:46.220 align:start position:0% okay so we want say for all to the P in participants<00:20:44.550> verifying<00:20:45.450> the<00:20:45.690> sync<00:20:45.930> of<00:20:46.080> that 00:20:46.220 --> 00:20:46.230 align:start position:0% participants verifying the sync of that 00:20:46.230 --> 00:20:48.230 align:start position:0% participants verifying the sync of that individual<00:20:46.860> P<00:20:47.010> and<00:20:47.250> so<00:20:47.580> this<00:20:47.730> allows<00:20:47.970> you<00:20:48.150> do 00:20:48.230 --> 00:20:48.240 align:start position:0% individual P and so this allows you do 00:20:48.240 --> 00:20:49.910 align:start position:0% individual P and so this allows you do not<00:20:48.390> like<00:20:48.600> a<00:20:48.780> verify<00:20:49.170> sit<00:20:49.410> and<00:20:49.620> a<00:20:49.680> verify 00:20:49.910 --> 00:20:49.920 align:start position:0% not like a verify sit and a verify 00:20:49.920 --> 00:20:50.510 align:start position:0% not like a verify sit and a verify multi-city 00:20:50.510 --> 00:20:50.520 align:start position:0% multi-city 00:20:50.520 --> 00:20:52.370 align:start position:0% multi-city you<00:20:50.850> just<00:20:51.090> write<00:20:51.210> a<00:20:51.240> verify<00:20:51.600> see<00:20:51.810> so<00:20:52.260> they 00:20:52.370 --> 00:20:52.380 align:start position:0% you just write a verify see so they 00:20:52.380 --> 00:20:55.040 align:start position:0% you just write a verify see so they hopefully<00:20:52.620> that's<00:20:52.890> hopefully<00:20:53.250> time<00:20:54.050> great 00:20:55.040 --> 00:20:55.050 align:start position:0% hopefully that's hopefully time great 00:20:55.050 --> 00:20:59.900 align:start position:0% hopefully that's hopefully time great other<00:20:55.320> questions<00:20:57.830> the<00:20:58.830> logic<00:20:59.520> you<00:20:59.580> talking 00:20:59.900 --> 00:20:59.910 align:start position:0% other questions the logic you talking 00:20:59.910 --> 00:21:02.600 align:start position:0% other questions the logic you talking about<00:21:00.090> is<00:21:01.070> strategy<00:21:02.070> a<00:21:02.160> winning<00:21:02.460> strategy 00:21:02.600 --> 00:21:02.610 align:start position:0% about is strategy a winning strategy 00:21:02.610 --> 00:21:04.640 align:start position:0% about is strategy a winning strategy listen<00:21:03.180> even<00:21:03.480> for<00:21:03.600> a<00:21:03.660> game<00:21:03.870> what<00:21:04.470> does<00:21:04.620> that 00:21:04.640 --> 00:21:04.650 align:start position:0% listen even for a game what does that 00:21:04.650 --> 00:21:08.110 align:start position:0% listen even for a game what does that mean<00:21:05.060> okay<00:21:06.060> so<00:21:06.630> I'll<00:21:07.230> get<00:21:07.410> into<00:21:07.530> that<00:21:07.620> and<00:21:07.950> so 00:21:08.110 --> 00:21:08.120 align:start position:0% mean okay so I'll get into that and so 00:21:08.120 --> 00:21:09.860 align:start position:0% mean okay so I'll get into that and so maybe<00:21:09.120> I'll<00:21:09.210> just<00:21:09.240> try<00:21:09.420> to<00:21:09.510> provide<00:21:09.750> an 00:21:09.860 --> 00:21:09.870 align:start position:0% maybe I'll just try to provide an 00:21:09.870 --> 00:21:10.910 align:start position:0% maybe I'll just try to provide an intuition<00:21:10.230> now<00:21:10.380> because<00:21:10.650> I'll<00:21:10.740> have<00:21:10.830> an 00:21:10.910 --> 00:21:10.920 align:start position:0% intuition now because I'll have an 00:21:10.920 --> 00:21:13.700 align:start position:0% intuition now because I'll have an actual<00:21:11.220> like<00:21:11.340> game<00:21:11.550> tree<00:21:11.790> example<00:21:12.240> soon<00:21:12.710> but 00:21:13.700 --> 00:21:13.710 align:start position:0% actual like game tree example soon but 00:21:13.710 --> 00:21:16.310 align:start position:0% actual like game tree example soon but what<00:21:13.860> that<00:21:13.980> means<00:21:14.220> is<00:21:14.490> we<00:21:15.060> take<00:21:15.360> the<00:21:15.930> logical 00:21:16.310 --> 00:21:16.320 align:start position:0% what that means is we take the logical 00:21:16.320 --> 00:21:18.530 align:start position:0% what that means is we take the logical expression<00:21:16.530> and<00:21:17.010> we<00:21:17.460> convert<00:21:17.880> it<00:21:18.000> into<00:21:18.210> a<00:21:18.330> game 00:21:18.530 --> 00:21:18.540 align:start position:0% expression and we convert it into a game 00:21:18.540 --> 00:21:19.730 align:start position:0% expression and we convert it into a game tree<00:21:18.840> okay 00:21:19.730 --> 00:21:19.740 align:start position:0% tree okay 00:21:19.740 --> 00:21:21.320 align:start position:0% tree okay I'm<00:21:20.010> Tilly<00:21:20.310> let<00:21:20.490> me<00:21:20.580> actually<00:21:20.700> let<00:21:20.970> me<00:21:21.090> let<00:21:21.210> me 00:21:21.320 --> 00:21:21.330 align:start position:0% I'm Tilly let me actually let me let me 00:21:21.330 --> 00:21:23.090 align:start position:0% I'm Tilly let me actually let me let me go<00:21:21.510> let<00:21:21.870> me<00:21:21.930> go<00:21:22.020> on<00:21:22.140> the<00:21:22.200> side<00:21:22.320> so<00:21:22.620> here<00:21:22.800> I<00:21:22.830> wish 00:21:23.090 --> 00:21:23.100 align:start position:0% go let me go on the side so here I wish 00:21:23.100 --> 00:21:24.410 align:start position:0% go let me go on the side so here I wish you<00:21:23.130> to<00:21:23.310> switch<00:21:23.520> to<00:21:23.640> this<00:21:23.730> slide<00:21:23.940> immediately 00:21:24.410 --> 00:21:24.420 align:start position:0% you to switch to this slide immediately 00:21:24.420 --> 00:21:25.970 align:start position:0% you to switch to this slide immediately because<00:21:24.660> this<00:21:24.840> is<00:21:24.990> within<00:21:25.380> the<00:21:25.560> answer<00:21:25.830> in<00:21:25.920> the 00:21:25.970 --> 00:21:25.980 align:start position:0% because this is within the answer in the 00:21:25.980 --> 00:21:27.590 align:start position:0% because this is within the answer in the first<00:21:26.100> question<00:21:26.490> here<00:21:26.940> are<00:21:27.060> some<00:21:27.180> intuitions 00:21:27.590 --> 00:21:27.600 align:start position:0% first question here are some intuitions 00:21:27.600 --> 00:21:28.490 align:start position:0% first question here are some intuitions for<00:21:27.690> lettuces 00:21:28.490 --> 00:21:28.500 align:start position:0% for lettuces 00:21:28.500 --> 00:21:30.549 align:start position:0% for lettuces there<00:21:29.040> does<00:21:29.250> not<00:21:29.490> exist 00:21:30.549 --> 00:21:30.559 align:start position:0% there does not exist 00:21:30.559 --> 00:21:33.249 align:start position:0% there does not exist such<00:21:31.009> that<00:21:31.249> this<00:21:31.639> is<00:21:31.820> an<00:21:31.909> example<00:21:32.299> interesting 00:21:33.249 --> 00:21:33.259 align:start position:0% such that this is an example interesting 00:21:33.259 --> 00:21:35.619 align:start position:0% such that this is an example interesting layer<00:21:33.529> to<00:21:33.889> eat<00:21:34.190> and<00:21:34.490> logical<00:21:35.059> composition 00:21:35.619 --> 00:21:35.629 align:start position:0% layer to eat and logical composition 00:21:35.629 --> 00:21:38.499 align:start position:0% layer to eat and logical composition right<00:21:35.929> for<00:21:36.499> a<00:21:36.529> lot<00:21:36.860> such<00:21:37.129> that<00:21:37.340> the<00:21:38.090> signature 00:21:38.499 --> 00:21:38.509 align:start position:0% right for a lot such that the signature 00:21:38.509 --> 00:21:40.749 align:start position:0% right for a lot such that the signature satisfies<00:21:38.899> x<00:21:39.139> and<00:21:39.559> y<00:21:39.919> right<00:21:40.159> be<00:21:40.309> honest<00:21:40.549> this 00:21:40.749 --> 00:21:40.759 align:start position:0% satisfies x and y right be honest this 00:21:40.759 --> 00:21:42.789 align:start position:0% satisfies x and y right be honest this is<00:21:40.909> this<00:21:40.999> logical<00:21:41.179> connective<00:21:41.690> and<00:21:41.929> yet<00:21:42.440> you 00:21:42.789 --> 00:21:42.799 align:start position:0% is this logical connective and yet you 00:21:42.799 --> 00:21:44.289 align:start position:0% is this logical connective and yet you have<00:21:42.919> to<00:21:43.039> be<00:21:43.129> really<00:21:43.399> careful<00:21:43.580> about<00:21:43.879> there 00:21:44.289 --> 00:21:44.299 align:start position:0% have to be really careful about there 00:21:44.299 --> 00:21:46.149 align:start position:0% have to be really careful about there does<00:21:44.419> not<00:21:44.659> exist<00:21:44.809> a<00:21:45.169> signature<00:21:45.649> in<00:21:45.799> systems 00:21:46.149 --> 00:21:46.159 align:start position:0% does not exist a signature in systems 00:21:46.159 --> 00:21:47.980 align:start position:0% does not exist a signature in systems like<00:21:46.370> this<00:21:46.580> because<00:21:47.059> there<00:21:47.389> exists<00:21:47.899> a 00:21:47.980 --> 00:21:47.990 align:start position:0% like this because there exists a 00:21:47.990 --> 00:21:49.989 align:start position:0% like this because there exists a signature<00:21:48.379> right<00:21:49.039> there<00:21:49.070> is<00:21:49.399> some<00:21:49.730> string 00:21:49.989 --> 00:21:49.999 align:start position:0% signature right there is some string 00:21:49.999 --> 00:21:51.570 align:start position:0% signature right there is some string admits<00:21:50.360> that's<00:21:50.600> a<00:21:50.690> valid<00:21:51.019> signature 00:21:51.570 --> 00:21:51.580 align:start position:0% admits that's a valid signature 00:21:51.580 --> 00:21:53.680 align:start position:0% admits that's a valid signature absolutely<00:21:52.580> so<00:21:52.820> this<00:21:52.940> is<00:21:52.999> a<00:21:53.149> great<00:21:53.299> question 00:21:53.680 --> 00:21:53.690 align:start position:0% absolutely so this is a great question 00:21:53.690 --> 00:22:00.639 align:start position:0% absolutely so this is a great question and<00:21:53.870> not<00:21:54.379> to<00:21:54.649> just<00:21:58.779> illogical<00:21:59.779> omniscience 00:22:00.639 --> 00:22:00.649 align:start position:0% and not to just illogical omniscience 00:22:00.649 --> 00:22:03.070 align:start position:0% and not to just illogical omniscience this<00:22:00.919> is<00:22:01.100> the<00:22:01.220> problem<00:22:01.460> that<00:22:01.789> we<00:22:02.179> face<00:22:02.330> so<00:22:02.929> in 00:22:03.070 --> 00:22:03.080 align:start position:0% this is the problem that we face so in 00:22:03.080 --> 00:22:04.899 align:start position:0% this is the problem that we face so in theory<00:22:03.320> all<00:22:03.619> Caesars<00:22:04.100> is<00:22:04.220> just<00:22:04.369> in<00:22:04.519> theory 00:22:04.899 --> 00:22:04.909 align:start position:0% theory all Caesars is just in theory 00:22:04.909 --> 00:22:06.730 align:start position:0% theory all Caesars is just in theory late<00:22:05.269> from<00:22:05.450> a<00:22:05.570> lot<00:22:05.720> of<00:22:05.749> perspective<00:22:06.350> all<00:22:06.529> hash 00:22:06.730 --> 00:22:06.740 align:start position:0% late from a lot of perspective all hash 00:22:06.740 --> 00:22:08.769 align:start position:0% late from a lot of perspective all hash functions<00:22:07.220> have<00:22:07.399> an<00:22:07.580> unlimited<00:22:08.360> number<00:22:08.570> of 00:22:08.769 --> 00:22:08.779 align:start position:0% functions have an unlimited number of 00:22:08.779 --> 00:22:10.299 align:start position:0% functions have an unlimited number of preimages<00:22:09.289> that<00:22:09.470> satisfy<00:22:09.830> the<00:22:09.889> given<00:22:10.039> hash 00:22:10.299 --> 00:22:10.309 align:start position:0% preimages that satisfy the given hash 00:22:10.309 --> 00:22:11.710 align:start position:0% preimages that satisfy the given hash right<00:22:10.730> so<00:22:11.059> we're<00:22:11.149> going<00:22:11.240> to<00:22:11.299> talk<00:22:11.450> about<00:22:11.600> how 00:22:11.710 --> 00:22:11.720 align:start position:0% right so we're going to talk about how 00:22:11.720 --> 00:22:13.570 align:start position:0% right so we're going to talk about how to<00:22:11.779> solve<00:22:11.960> that<00:22:12.169> problem<00:22:12.590> and<00:22:12.769> one<00:22:13.399> of<00:22:13.490> the 00:22:13.570 --> 00:22:13.580 align:start position:0% to solve that problem and one of the 00:22:13.580 --> 00:22:15.369 align:start position:0% to solve that problem and one of the important<00:22:14.240> future<00:22:14.539> works<00:22:14.690> that<00:22:14.869> I<00:22:14.899> hope<00:22:15.139> will 00:22:15.369 --> 00:22:15.379 align:start position:0% important future works that I hope will 00:22:15.379 --> 00:22:16.899 align:start position:0% important future works that I hope will take<00:22:15.559> I<00:22:15.950> can<00:22:16.159> get<00:22:16.279> out<00:22:16.369> of<00:22:16.460> someone<00:22:16.759> in<00:22:16.820> this 00:22:16.899 --> 00:22:16.909 align:start position:0% take I can get out of someone in this 00:22:16.909 --> 00:22:18.279 align:start position:0% take I can get out of someone in this audience<00:22:17.090> is<00:22:17.570> to<00:22:17.690> do<00:22:17.779> a<00:22:17.809> much<00:22:18.019> better<00:22:18.049> job 00:22:18.279 --> 00:22:18.289 align:start position:0% audience is to do a much better job 00:22:18.289 --> 00:22:20.169 align:start position:0% audience is to do a much better job analyzing<00:22:18.919> that<00:22:19.009> than<00:22:19.129> I<00:22:19.220> can<00:22:19.460> because<00:22:19.700> I<00:22:19.999> did 00:22:20.169 --> 00:22:20.179 align:start position:0% analyzing that than I can because I did 00:22:20.179 --> 00:22:22.119 align:start position:0% analyzing that than I can because I did a<00:22:20.240> big<00:22:20.389> bad<00:22:20.659> job<00:22:21.019> and<00:22:21.350> there's<00:22:21.649> some<00:22:21.799> minimal 00:22:22.119 --> 00:22:22.129 align:start position:0% a big bad job and there's some minimal 00:22:22.129 --> 00:22:23.440 align:start position:0% a big bad job and there's some minimal approach<00:22:22.340> to<00:22:22.610> be<00:22:22.700> able<00:22:22.850> to<00:22:22.909> get<00:22:23.059> this<00:22:23.210> thing 00:22:23.440 --> 00:22:23.450 align:start position:0% approach to be able to get this thing 00:22:23.450 --> 00:22:29.889 align:start position:0% approach to be able to get this thing out<00:22:23.690> there<00:22:23.899> okay<00:22:27.970> okay<00:22:28.970> yes<00:22:29.330> so<00:22:29.600> we're<00:22:29.869> very 00:22:29.889 --> 00:22:29.899 align:start position:0% out there okay okay yes so we're very 00:22:29.899 --> 00:22:31.269 align:start position:0% out there okay okay yes so we're very careful<00:22:30.409> about<00:22:30.529> how<00:22:30.740> we<00:22:30.830> construct<00:22:31.190> these 00:22:31.269 --> 00:22:31.279 align:start position:0% careful about how we construct these 00:22:31.279 --> 00:22:32.980 align:start position:0% careful about how we construct these things<00:22:31.519> but<00:22:31.940> we're<00:22:32.090> doing<00:22:32.330> it<00:22:32.450> in<00:22:32.539> layer<00:22:32.690> 2<00:22:32.929> is 00:22:32.980 --> 00:22:32.990 align:start position:0% things but we're doing it in layer 2 is 00:22:32.990 --> 00:22:34.480 align:start position:0% things but we're doing it in layer 2 is anyway<00:22:33.259> so<00:22:33.320> it's<00:22:33.889> really<00:22:34.009> just<00:22:34.100> thing<00:22:34.309> that's 00:22:34.480 --> 00:22:34.490 align:start position:0% anyway so it's really just thing that's 00:22:34.490 --> 00:22:35.889 align:start position:0% anyway so it's really just thing that's been<00:22:34.580> careful<00:22:34.940> about<00:22:35.059> how<00:22:35.299> we<00:22:35.360> do<00:22:35.539> it<00:22:35.629> in<00:22:35.749> layer 00:22:35.889 --> 00:22:35.899 align:start position:0% been careful about how we do it in layer 00:22:35.899 --> 00:22:37.720 align:start position:0% been careful about how we do it in layer 2<00:22:36.139> but<00:22:36.769> again<00:22:37.009> this<00:22:37.220> is<00:22:37.369> an<00:22:37.460> important 00:22:37.720 --> 00:22:37.730 align:start position:0% 2 but again this is an important 00:22:37.730 --> 00:22:40.269 align:start position:0% 2 but again this is an important distinction<00:22:37.999> so<00:22:38.600> even<00:22:39.440> though<00:22:39.679> even<00:22:40.070> within 00:22:40.269 --> 00:22:40.279 align:start position:0% distinction so even though even within 00:22:40.279 --> 00:22:42.399 align:start position:0% distinction so even though even within the<00:22:40.490> sava<00:22:40.789> logical<00:22:41.360> interpretation<00:22:41.600> right<00:22:42.289> a 00:22:42.399 --> 00:22:42.409 align:start position:0% the sava logical interpretation right a 00:22:42.409 --> 00:22:45.789 align:start position:0% the sava logical interpretation right a semantics<00:22:43.399> there<00:22:44.149> is<00:22:44.299> a<00:22:44.330> semantics<00:22:44.990> for<00:22:45.289> like 00:22:45.789 --> 00:22:45.799 align:start position:0% semantics there is a semantics for like 00:22:45.799 --> 00:22:47.470 align:start position:0% semantics there is a semantics for like the<00:22:45.950> love<00:22:46.129> a<00:22:46.279> bit<00:22:46.490> like<00:22:46.669> precise<00:22:46.999> logical 00:22:47.470 --> 00:22:47.480 align:start position:0% the love a bit like precise logical 00:22:47.480 --> 00:22:49.359 align:start position:0% the love a bit like precise logical expression<00:22:48.080> that<00:22:48.499> says<00:22:48.889> that<00:22:49.039> this<00:22:49.100> is<00:22:49.159> always 00:22:49.359 --> 00:22:49.369 align:start position:0% expression that says that this is always 00:22:49.369 --> 00:22:51.100 align:start position:0% expression that says that this is always true<00:22:49.490> because<00:22:49.909> like<00:22:50.029> all<00:22:50.240> signatures<00:22:50.659> exist 00:22:51.100 --> 00:22:51.110 align:start position:0% true because like all signatures exist 00:22:51.110 --> 00:22:52.180 align:start position:0% true because like all signatures exist out<00:22:51.289> there<00:22:51.320> there's<00:22:51.649> always<00:22:51.799> a<00:22:51.919> string<00:22:52.100> in 00:22:52.180 --> 00:22:52.190 align:start position:0% out there there's always a string in 00:22:52.190 --> 00:22:53.529 align:start position:0% out there there's always a string in place<00:22:52.249> but<00:22:52.850> we're<00:22:53.119> going<00:22:53.210> to<00:22:53.269> provide<00:22:53.480> a 00:22:53.529 --> 00:22:53.539 align:start position:0% place but we're going to provide a 00:22:53.539 --> 00:22:55.480 align:start position:0% place but we're going to provide a semantics<00:22:54.049> an<00:22:54.139> interpretation<00:22:54.559> the<00:22:54.740> logic<00:22:55.100> in 00:22:55.480 --> 00:22:55.490 align:start position:0% semantics an interpretation the logic in 00:22:55.490 --> 00:22:57.759 align:start position:0% semantics an interpretation the logic in which<00:22:55.580> this<00:22:55.820> can<00:22:56.029> sometimes<00:22:56.389> be<00:22:56.629> false<00:22:56.990> namely 00:22:57.759 --> 00:22:57.769 align:start position:0% which this can sometimes be false namely 00:22:57.769 --> 00:22:59.019 align:start position:0% which this can sometimes be false namely if<00:22:57.889> I<00:22:58.009> haven't<00:22:58.249> said<00:22:58.429> that<00:22:58.580> signature<00:22:58.850> to 00:22:59.019 --> 00:22:59.029 align:start position:0% if I haven't said that signature to 00:22:59.029 --> 00:23:01.600 align:start position:0% if I haven't said that signature to anyone<00:22:59.299> else<00:22:59.419> so<00:23:00.019> right<00:23:00.559> I<00:23:00.590> mean<00:23:00.889> one<00:23:01.490> of<00:23:01.549> the 00:23:01.600 --> 00:23:01.610 align:start position:0% anyone else so right I mean one of the 00:23:01.610 --> 00:23:03.609 align:start position:0% anyone else so right I mean one of the standard<00:23:01.879> approaches<00:23:02.330> is<00:23:02.509> to<00:23:02.720> talk<00:23:03.080> about<00:23:03.110> a 00:23:03.609 --> 00:23:03.619 align:start position:0% standard approaches is to talk about a 00:23:03.619 --> 00:23:05.769 align:start position:0% standard approaches is to talk about a party<00:23:04.610> having<00:23:04.789> knowledge<00:23:05.029> of<00:23:05.330> a<00:23:05.419> signature 00:23:05.769 --> 00:23:05.779 align:start position:0% party having knowledge of a signature 00:23:05.779 --> 00:23:08.169 align:start position:0% party having knowledge of a signature correct<00:23:06.409> right<00:23:06.980> which<00:23:07.220> is<00:23:07.369> a<00:23:07.399> different<00:23:07.879> kind 00:23:08.169 --> 00:23:08.179 align:start position:0% correct right which is a different kind 00:23:08.179 --> 00:23:10.330 align:start position:0% correct right which is a different kind of<00:23:08.330> statement<00:23:08.749> correct<00:23:09.259> so<00:23:09.559> so<00:23:09.830> so<00:23:10.100> there<00:23:10.249> are 00:23:10.330 --> 00:23:10.340 align:start position:0% of statement correct so so so there are 00:23:10.340 --> 00:23:11.619 align:start position:0% of statement correct so so so there are lots<00:23:10.519> of<00:23:10.610> approaches<00:23:10.999> to<00:23:11.059> knowledge<00:23:11.450> so<00:23:11.539> I<00:23:11.600> I 00:23:11.619 --> 00:23:11.629 align:start position:0% lots of approaches to knowledge so I I 00:23:11.629 --> 00:23:13.600 align:start position:0% lots of approaches to knowledge so I I went<00:23:12.169> down<00:23:12.289> a<00:23:12.320> long<00:23:12.559> rabbit<00:23:12.980> hole<00:23:13.129> on<00:23:13.279> this<00:23:13.399> and 00:23:13.600 --> 00:23:13.610 align:start position:0% went down a long rabbit hole on this and 00:23:13.610 --> 00:23:16.210 align:start position:0% went down a long rabbit hole on this and cycled<00:23:13.909> Kripke<00:23:14.269> semantics<00:23:14.919> which<00:23:15.919> which 00:23:16.210 --> 00:23:16.220 align:start position:0% cycled Kripke semantics which which 00:23:16.220 --> 00:23:18.100 align:start position:0% cycled Kripke semantics which which defines<00:23:16.580> us<00:23:16.700> in<00:23:16.850> the<00:23:16.909> worlds<00:23:17.360> W<00:23:17.720> you'll<00:23:17.990> see 00:23:18.100 --> 00:23:18.110 align:start position:0% defines us in the worlds W you'll see 00:23:18.110 --> 00:23:19.210 align:start position:0% defines us in the worlds W you'll see something<00:23:18.379> borrowed<00:23:18.649> from<00:23:18.799> that<00:23:18.889> here<00:23:19.129> in 00:23:19.210 --> 00:23:19.220 align:start position:0% something borrowed from that here in 00:23:19.220 --> 00:23:19.899 align:start position:0% something borrowed from that here in these<00:23:19.340> slides 00:23:19.899 --> 00:23:19.909 align:start position:0% these slides 00:23:19.909 --> 00:23:21.759 align:start position:0% these slides defines<00:23:20.389> an<00:23:20.480> accessibility<00:23:21.019> relational<00:23:21.679> way 00:23:21.759 --> 00:23:21.769 align:start position:0% defines an accessibility relational way 00:23:21.769 --> 00:23:24.009 align:start position:0% defines an accessibility relational way to<00:23:21.830> progress<00:23:22.129> through<00:23:22.249> world<00:23:22.730> a<00:23:23.269> world<00:23:23.869> is 00:23:24.009 --> 00:23:24.019 align:start position:0% to progress through world a world is 00:23:24.019 --> 00:23:25.030 align:start position:0% to progress through world a world is successful<00:23:24.409> if<00:23:24.470> it's<00:23:24.590> in<00:23:24.679> the 00:23:25.030 --> 00:23:25.040 align:start position:0% successful if it's in the 00:23:25.040 --> 00:23:27.670 align:start position:0% successful if it's in the we<00:23:25.430> want<00:23:25.580> to<00:23:25.640> talk<00:23:25.760> about<00:23:26.170> temporal<00:23:27.170> logic<00:23:27.560> to 00:23:27.670 --> 00:23:27.680 align:start position:0% we want to talk about temporal logic to 00:23:27.680 --> 00:23:30.340 align:start position:0% we want to talk about temporal logic to do<00:23:27.770> with<00:23:27.890> time<00:23:28.130> and<00:23:28.610> and<00:23:29.600> there's<00:23:30.020> one<00:23:30.200> for 00:23:30.340 --> 00:23:30.350 align:start position:0% do with time and and there's one for 00:23:30.350 --> 00:23:31.870 align:start position:0% do with time and and there's one for knowledge<00:23:30.500> as<00:23:30.800> well<00:23:30.950> and<00:23:31.130> so<00:23:31.310> on<00:23:31.370> and<00:23:31.490> so<00:23:31.610> forth 00:23:31.870 --> 00:23:31.880 align:start position:0% knowledge as well and so on and so forth 00:23:31.880 --> 00:23:34.660 align:start position:0% knowledge as well and so on and so forth um<00:23:32.330> we're<00:23:32.720> not<00:23:32.900> going<00:23:33.140> to<00:23:33.260> give<00:23:33.380> a<00:23:33.670> rigorous 00:23:34.660 --> 00:23:34.670 align:start position:0% um we're not going to give a rigorous 00:23:34.670 --> 00:23:36.070 align:start position:0% um we're not going to give a rigorous treatment<00:23:34.790> of<00:23:35.030> that<00:23:35.060> here<00:23:35.360> well<00:23:35.840> we're<00:23:35.990> going 00:23:36.070 --> 00:23:36.080 align:start position:0% treatment of that here well we're going 00:23:36.080 --> 00:23:37.720 align:start position:0% treatment of that here well we're going to<00:23:36.140> talk<00:23:36.260> about<00:23:36.320> today<00:23:36.740> is<00:23:36.980> just<00:23:37.370> the<00:23:37.430> first 00:23:37.720 --> 00:23:37.730 align:start position:0% to talk about today is just the first 00:23:37.730 --> 00:23:39.640 align:start position:0% to talk about today is just the first step<00:23:38.000> in<00:23:38.270> sort<00:23:38.540> of<00:23:38.630> in<00:23:38.900> sort<00:23:39.200> of<00:23:39.230> formalized 00:23:39.640 --> 00:23:39.650 align:start position:0% step in sort of in sort of formalized 00:23:39.650 --> 00:23:41.320 align:start position:0% step in sort of in sort of formalized novell<00:23:40.040> -<00:23:40.190> which<00:23:40.670> is<00:23:40.760> let's<00:23:40.910> just<00:23:40.940> look<00:23:41.150> at<00:23:41.270> the 00:23:41.320 --> 00:23:41.330 align:start position:0% novell - which is let's just look at the 00:23:41.330 --> 00:23:42.790 align:start position:0% novell - which is let's just look at the games<00:23:41.540> let's<00:23:41.930> just<00:23:42.050> look<00:23:42.140> at<00:23:42.260> the<00:23:42.320> games<00:23:42.530> and 00:23:42.790 --> 00:23:42.800 align:start position:0% games let's just look at the games and 00:23:42.800 --> 00:23:45.940 align:start position:0% games let's just look at the games and so<00:23:43.190> we'll<00:23:43.280> do<00:23:43.370> a<00:23:43.400> very<00:23:43.550> simple<00:23:43.910> crappy<00:23:44.650> job<00:23:45.650> of 00:23:45.940 --> 00:23:45.950 align:start position:0% so we'll do a very simple crappy job of 00:23:45.950 --> 00:23:48.250 align:start position:0% so we'll do a very simple crappy job of the<00:23:46.160> knowledge<00:23:46.340> that<00:23:47.030> is<00:23:47.240> not<00:23:47.510> rigorous<00:23:47.990> and<00:23:48.230> I 00:23:48.250 --> 00:23:48.260 align:start position:0% the knowledge that is not rigorous and I 00:23:48.260 --> 00:23:49.900 align:start position:0% the knowledge that is not rigorous and I don't<00:23:48.440> think<00:23:48.590> you<00:23:48.680> could<00:23:48.860> prove<00:23:49.130> hopefully 00:23:49.900 --> 00:23:49.910 align:start position:0% don't think you could prove hopefully 00:23:49.910 --> 00:23:51.670 align:start position:0% don't think you could prove hopefully there's<00:23:50.090> someone<00:23:50.360> here<00:23:50.660> or<00:23:50.900> at<00:23:51.080> DEFCON<00:23:51.470> that<00:23:51.620> I 00:23:51.670 --> 00:23:51.680 align:start position:0% there's someone here or at DEFCON that I 00:23:51.680 --> 00:23:53.470 align:start position:0% there's someone here or at DEFCON that I will<00:23:51.800> be<00:23:51.860> able<00:23:51.980> to<00:23:52.070> talk<00:23:52.190> to<00:23:52.250> that<00:23:53.000> knows<00:23:53.210> more 00:23:53.470 --> 00:23:53.480 align:start position:0% will be able to talk to that knows more 00:23:53.480 --> 00:23:54.970 align:start position:0% will be able to talk to that knows more about<00:23:53.510> University's<00:23:54.380> ability<00:23:54.470> and<00:23:54.890> these 00:23:54.970 --> 00:23:54.980 align:start position:0% about University's ability and these 00:23:54.980 --> 00:23:56.350 align:start position:0% about University's ability and these computability<00:23:55.460> assumptions<00:23:56.030> that's<00:23:56.240> gonna 00:23:56.350 --> 00:23:56.360 align:start position:0% computability assumptions that's gonna 00:23:56.360 --> 00:24:03.720 align:start position:0% computability assumptions that's gonna be<00:23:56.480> able<00:23:56.600> to<00:23:56.690> inform<00:23:57.020> me<00:23:57.140> much<00:23:57.320> better<00:23:57.530> than<00:23:57.710> I 00:24:03.720 --> 00:24:03.730 align:start position:0% 00:24:03.730 --> 00:24:06.550 align:start position:0% have<00:24:04.730> I<00:24:05.000> have<00:24:05.270> so<00:24:05.540> long<00:24:05.750> I'm<00:24:06.020> lucky<00:24:06.260> enough<00:24:06.350> to 00:24:06.550 --> 00:24:06.560 align:start position:0% have I have so long I'm lucky enough to 00:24:06.560 --> 00:24:07.810 align:start position:0% have I have so long I'm lucky enough to see<00:24:06.680> a<00:24:06.710> few<00:24:06.920> of<00:24:06.980> those<00:24:07.040> spaces<00:24:07.310> in<00:24:07.460> the<00:24:07.610> crowd 00:24:07.810 --> 00:24:07.820 align:start position:0% see a few of those spaces in the crowd 00:24:07.820 --> 00:24:10.180 align:start position:0% see a few of those spaces in the crowd and<00:24:08.690> there's<00:24:09.200> definitely<00:24:09.530> more<00:24:09.650> to<00:24:09.710> speak<00:24:10.010> - 00:24:10.180 --> 00:24:10.190 align:start position:0% and there's definitely more to speak - 00:24:10.190 --> 00:24:12.130 align:start position:0% and there's definitely more to speak - so<00:24:10.820> one<00:24:11.030> of<00:24:11.060> the<00:24:11.210> one<00:24:11.660> of<00:24:11.690> the<00:24:11.810> goals<00:24:11.960> of<00:24:12.020> this 00:24:12.130 --> 00:24:12.140 align:start position:0% so one of the one of the goals of this 00:24:12.140 --> 00:24:13.960 align:start position:0% so one of the one of the goals of this work<00:24:12.350> is<00:24:12.530> to<00:24:12.560> be<00:24:12.770> able<00:24:12.860> to<00:24:12.980> pass<00:24:13.190> that<00:24:13.490> part<00:24:13.760> off 00:24:13.960 --> 00:24:13.970 align:start position:0% work is to be able to pass that part off 00:24:13.970 --> 00:24:15.280 align:start position:0% work is to be able to pass that part off to<00:24:14.180> someone<00:24:14.390> else<00:24:14.480> who<00:24:14.660> can<00:24:14.840> do<00:24:14.960> this<00:24:15.080> much 00:24:15.280 --> 00:24:15.290 align:start position:0% to someone else who can do this much 00:24:15.290 --> 00:24:17.410 align:start position:0% to someone else who can do this much better<00:24:15.440> than<00:24:15.560> I<00:24:15.890> can't<00:24:16.160> because<00:24:16.430> I<00:24:16.790> you<00:24:17.180> know<00:24:17.390> I 00:24:17.410 --> 00:24:17.420 align:start position:0% better than I can't because I you know I 00:24:17.420 --> 00:24:19.120 align:start position:0% better than I can't because I you know I you<00:24:17.810> know<00:24:18.110> there's<00:24:18.350> only<00:24:18.500> so<00:24:18.620> much<00:24:18.800> time<00:24:18.860> in<00:24:19.100> a 00:24:19.120 --> 00:24:19.130 align:start position:0% you know there's only so much time in a 00:24:19.130 --> 00:24:22.030 align:start position:0% you know there's only so much time in a day<00:24:19.250> and<00:24:19.610> I<00:24:20.240> can't<00:24:20.480> but<00:24:20.990> I<00:24:21.140> can 00:24:22.030 --> 00:24:22.040 align:start position:0% day and I can't but I can 00:24:22.040 --> 00:24:24.970 align:start position:0% day and I can't but I can I<00:24:22.220> can<00:24:22.370> train<00:24:22.520> home<00:24:22.670> okay<00:24:23.420> so<00:24:23.800> other<00:24:24.800> questions 00:24:24.970 --> 00:24:24.980 align:start position:0% I can train home okay so other questions 00:24:24.980 --> 00:24:26.260 align:start position:0% I can train home okay so other questions excuse<00:24:25.550> me<00:24:25.640> I<00:24:25.730> should<00:24:25.790> not<00:24:26.000> have<00:24:26.090> done<00:24:26.210> that 00:24:26.260 --> 00:24:26.270 align:start position:0% excuse me I should not have done that 00:24:26.270 --> 00:24:29.290 align:start position:0% excuse me I should not have done that yet<00:24:26.540> other<00:24:26.720> questions<00:24:27.880> again<00:24:28.880> the<00:24:29.000> goal<00:24:29.150> is<00:24:29.180> to 00:24:29.290 --> 00:24:29.300 align:start position:0% yet other questions again the goal is to 00:24:29.300 --> 00:24:30.940 align:start position:0% yet other questions again the goal is to not<00:24:29.690> go<00:24:29.930> through<00:24:30.080> these<00:24:30.260> slides<00:24:30.470> guys<00:24:30.740> I'm 00:24:30.940 --> 00:24:30.950 align:start position:0% not go through these slides guys I'm 00:24:30.950 --> 00:24:32.800 align:start position:0% not go through these slides guys I'm telling<00:24:31.100> you<00:24:31.280> guys<00:24:31.700> what<00:24:32.090> is<00:24:32.210> the<00:24:32.450> successful 00:24:32.800 --> 00:24:32.810 align:start position:0% telling you guys what is the successful 00:24:32.810 --> 00:24:35.410 align:start position:0% telling you guys what is the successful stay<00:24:33.110> here<00:24:33.290> so<00:24:33.620> ask<00:24:34.250> for<00:24:34.490> it<00:24:34.610> ask<00:24:34.880> away 00:24:35.410 --> 00:24:35.420 align:start position:0% stay here so ask for it ask away 00:24:35.420 --> 00:24:36.820 align:start position:0% stay here so ask for it ask away okay<00:24:35.720> but<00:24:35.870> no<00:24:35.960> questions<00:24:36.320> so<00:24:36.410> let's<00:24:36.530> get<00:24:36.650> into 00:24:36.820 --> 00:24:36.830 align:start position:0% okay but no questions so let's get into 00:24:36.830 --> 00:24:39.310 align:start position:0% okay but no questions so let's get into it<00:24:37.960> okay 00:24:39.310 --> 00:24:39.320 align:start position:0% it okay 00:24:39.320 --> 00:24:41.680 align:start position:0% it okay so<00:24:39.470> let's<00:24:39.650> define<00:24:39.850> this<00:24:40.850> language<00:24:41.150> Duncan 00:24:41.680 --> 00:24:41.690 align:start position:0% so let's define this language Duncan 00:24:41.690 --> 00:24:43.300 align:start position:0% so let's define this language Duncan worked<00:24:41.900> with<00:24:41.990> okay<00:24:42.230> it's<00:24:42.350> very<00:24:42.380> simple<00:24:42.620> for 00:24:43.300 --> 00:24:43.310 align:start position:0% worked with okay it's very simple for 00:24:43.310 --> 00:24:45.280 align:start position:0% worked with okay it's very simple for sort<00:24:43.550> of<00:24:43.580> language<00:24:43.760> okay<00:24:44.510> these<00:24:44.930> sides<00:24:45.200> are 00:24:45.280 --> 00:24:45.290 align:start position:0% sort of language okay these sides are 00:24:45.290 --> 00:24:47.380 align:start position:0% sort of language okay these sides are called<00:24:45.410> quantifiers<00:24:46.070> okay<00:24:46.520> this<00:24:46.910> guy's<00:24:47.090> for 00:24:47.380 --> 00:24:47.390 align:start position:0% called quantifiers okay this guy's for 00:24:47.390 --> 00:24:48.880 align:start position:0% called quantifiers okay this guy's for all<00:24:47.540> the<00:24:47.750> upside<00:24:48.020> down<00:24:48.050> hanging<00:24:48.350> inverted 00:24:48.880 --> 00:24:48.890 align:start position:0% all the upside down hanging inverted 00:24:48.890 --> 00:24:50.790 align:start position:0% all the upside down hanging inverted angry<00:24:49.190> -<00:24:49.550> its<00:24:49.700> mirror 00:24:50.790 --> 00:24:50.800 align:start position:0% angry - its mirror 00:24:50.800 --> 00:24:54.300 align:start position:0% angry - its mirror you<00:24:51.610> know<00:24:52.020> this<00:24:53.020> is<00:24:53.140> your<00:24:53.260> 4<00:24:53.470> L<00:24:53.590> also<00:24:53.890> known<00:24:54.190> as 00:24:54.300 --> 00:24:54.310 align:start position:0% you know this is your 4 L also known as 00:24:54.310 --> 00:24:56.790 align:start position:0% you know this is your 4 L also known as universal<00:24:55.120> and<00:24:55.240> complication<00:24:55.930> this<00:24:56.380> is<00:24:56.500> for 00:24:56.790 --> 00:24:56.800 align:start position:0% universal and complication this is for 00:24:56.800 --> 00:24:58.560 align:start position:0% universal and complication this is for ahlet's<00:24:57.130> and<00:24:57.250> sort<00:24:57.460> of<00:24:57.490> the<00:24:57.580> universal<00:24:58.030> this 00:24:58.560 --> 00:24:58.570 align:start position:0% ahlet's and sort of the universal this 00:24:58.570 --> 00:25:00.840 align:start position:0% ahlet's and sort of the universal this is<00:24:58.810> exist<00:24:59.320> it's<00:24:59.560> called<00:24:59.740> the<00:24:59.830> dual<00:25:00.100> of<00:25:00.130> Porto 00:25:00.840 --> 00:25:00.850 align:start position:0% is exist it's called the dual of Porto 00:25:00.850 --> 00:25:03.990 align:start position:0% is exist it's called the dual of Porto is<00:25:01.300> existential<00:25:02.260> quantification<00:25:02.650> so<00:25:03.580> for<00:25:03.880> all 00:25:03.990 --> 00:25:04.000 align:start position:0% is existential quantification so for all 00:25:04.000 --> 00:25:06.120 align:start position:0% is existential quantification so for all right<00:25:04.720> so<00:25:04.960> we<00:25:05.080> actually<00:25:05.410> when<00:25:05.710> we<00:25:05.740> write<00:25:06.010> this 00:25:06.120 --> 00:25:06.130 align:start position:0% right so we actually when we write this 00:25:06.130 --> 00:25:07.140 align:start position:0% right so we actually when we write this in<00:25:06.280> practice<00:25:06.430> when<00:25:06.760> you<00:25:06.820> write<00:25:06.940> something 00:25:07.140 --> 00:25:07.150 align:start position:0% in practice when you write something 00:25:07.150 --> 00:25:11.220 align:start position:0% in practice when you write something like<00:25:07.270> for<00:25:07.960> all<00:25:08.170> X<00:25:08.770> in<00:25:09.190> an<00:25:09.730> X<00:25:10.020> ok 00:25:11.220 --> 00:25:11.230 align:start position:0% like for all X in an X ok 00:25:11.230 --> 00:25:15.060 align:start position:0% like for all X in an X ok I<00:25:11.260> only<00:25:11.530> write<00:25:11.830> exist<00:25:12.340> X<00:25:12.840> in<00:25:13.840> X<00:25:14.230> right<00:25:14.530> and<00:25:14.830> then 00:25:15.060 --> 00:25:15.070 align:start position:0% I only write exist X in X right and then 00:25:15.070 --> 00:25:17.130 align:start position:0% I only write exist X in X right and then we<00:25:15.160> say<00:25:15.280> this<00:25:15.400> is<00:25:15.520> like<00:25:15.640> it<00:25:15.730> such<00:25:15.940> that<00:25:16.140> another 00:25:17.130 --> 00:25:17.140 align:start position:0% we say this is like it such that another 00:25:17.140 --> 00:25:20.310 align:start position:0% we say this is like it such that another like<00:25:17.350> some<00:25:17.530> T<00:25:17.710> of<00:25:17.740> X<00:25:18.010> right<00:25:18.910> some<00:25:19.240> P<00:25:19.390> of<00:25:19.420> X<00:25:19.630> now 00:25:20.310 --> 00:25:20.320 align:start position:0% like some T of X right some P of X now 00:25:20.320 --> 00:25:23.760 align:start position:0% like some T of X right some P of X now they<00:25:20.470> have<00:25:20.590> notably<00:25:21.010> in<00:25:21.270> most<00:25:22.270> logics<00:25:22.770> the 00:25:23.760 --> 00:25:23.770 align:start position:0% they have notably in most logics the 00:25:23.770 --> 00:25:25.650 align:start position:0% they have notably in most logics the these<00:25:24.310> two<00:25:24.460> parts<00:25:24.850> the<00:25:24.940> duals<00:25:25.210> of<00:25:25.360> each<00:25:25.480> other 00:25:25.650 --> 00:25:25.660 align:start position:0% these two parts the duals of each other 00:25:25.660 --> 00:25:28.020 align:start position:0% these two parts the duals of each other so<00:25:25.900> not<00:25:26.170> so<00:25:27.040> this<00:25:27.160> is<00:25:27.310> this<00:25:27.490> stuff<00:25:27.640> is<00:25:27.790> good<00:25:27.940> we 00:25:28.020 --> 00:25:28.030 align:start position:0% so not so this is this stuff is good we 00:25:28.030 --> 00:25:30.510 align:start position:0% so not so this is this stuff is good we are<00:25:28.060> not<00:25:28.270> by<00:25:28.450> the<00:25:28.510> way<00:25:28.660> so<00:25:28.720> not<00:25:29.020> for<00:25:29.380> all<00:25:29.530> not<00:25:29.860> is 00:25:30.510 --> 00:25:30.520 align:start position:0% are not by the way so not for all not is 00:25:30.520 --> 00:25:34.410 align:start position:0% are not by the way so not for all not is the<00:25:30.880> same<00:25:30.910> thing<00:25:31.450> as<00:25:31.830> exists<00:25:32.830> and<00:25:33.040> not<00:25:33.850> exist 00:25:34.410 --> 00:25:34.420 align:start position:0% the same thing as exists and not exist 00:25:34.420 --> 00:25:38.610 align:start position:0% the same thing as exists and not exist that<00:25:35.140> is<00:25:35.890> the<00:25:36.070> same<00:25:36.280> thing<00:25:36.630> as<00:25:37.630> well<00:25:38.050> ok<00:25:38.590> so 00:25:38.610 --> 00:25:38.620 align:start position:0% that is the same thing as well ok so 00:25:38.620 --> 00:25:41.280 align:start position:0% that is the same thing as well ok so that's<00:25:38.950> just<00:25:39.010> who<00:25:39.220> she<00:25:39.390> anyway<00:25:40.390> so<00:25:40.750> then<00:25:41.170> we're 00:25:41.280 --> 00:25:41.290 align:start position:0% that's just who she anyway so then we're 00:25:41.290 --> 00:25:43.080 align:start position:0% that's just who she anyway so then we're also<00:25:41.380> going<00:25:41.560> to<00:25:41.620> use<00:25:41.680> and<00:25:42.010> ok<00:25:42.550> so<00:25:42.610> you're<00:25:43.000> sort 00:25:43.080 --> 00:25:43.090 align:start position:0% also going to use and ok so you're sort 00:25:43.090 --> 00:25:45.810 align:start position:0% also going to use and ok so you're sort of<00:25:43.230> upside<00:25:44.230> down<00:25:44.380> V<00:25:44.620> or<00:25:44.890> you<00:25:45.280> know<00:25:45.400> I'm<00:25:45.550> free<00:25:45.700> to 00:25:45.810 --> 00:25:45.820 align:start position:0% of upside down V or you know I'm free to 00:25:45.820 --> 00:25:47.130 align:start position:0% of upside down V or you know I'm free to be<00:25:45.850> whatever<00:25:46.120> is<00:25:46.720> we've<00:25:46.870> got<00:25:46.960> the<00:25:47.020> same 00:25:47.130 --> 00:25:47.140 align:start position:0% be whatever is we've got the same 00:25:47.140 --> 00:25:48.720 align:start position:0% be whatever is we've got the same problems<00:25:47.470> in<00:25:47.500> Reverse<00:25:47.770> upon<00:25:47.950> a<00:25:47.980> fire<00:25:48.190> this<00:25:48.640> is 00:25:48.720 --> 00:25:48.730 align:start position:0% problems in Reverse upon a fire this is 00:25:48.730 --> 00:25:49.170 align:start position:0% problems in Reverse upon a fire this is your<00:25:48.820> aunt 00:25:49.170 --> 00:25:49.180 align:start position:0% your aunt 00:25:49.180 --> 00:25:51.810 align:start position:0% your aunt this<00:25:49.480> is<00:25:49.570> or<00:25:49.690> not<00:25:49.810> this<00:25:50.290> is<00:25:50.440> your<00:25:50.470> war<00:25:51.010> ok<00:25:51.370> good 00:25:51.810 --> 00:25:51.820 align:start position:0% this is or not this is your war ok good 00:25:51.820 --> 00:25:56.120 align:start position:0% this is or not this is your war ok good make<00:25:51.970> sense<00:25:52.740> yes<00:25:53.740> yes<00:25:54.670> ok<00:25:55.060> excellent 00:25:56.120 --> 00:25:56.130 align:start position:0% make sense yes yes ok excellent 00:25:56.130 --> 00:25:58.410 align:start position:0% make sense yes yes ok excellent ok<00:25:57.130> so<00:25:57.190> I'm<00:25:57.430> going<00:25:57.580> to<00:25:57.610> briefly<00:25:58.150> talk<00:25:58.360> about 00:25:58.410 --> 00:25:58.420 align:start position:0% ok so I'm going to briefly talk about 00:25:58.420 --> 00:26:00.840 align:start position:0% ok so I'm going to briefly talk about simplifications<00:25:59.230> that<00:25:59.320> we<00:25:59.560> will<00:25:59.710> use<00:25:59.890> within 00:26:00.840 --> 00:26:00.850 align:start position:0% simplifications that we will use within 00:26:00.850 --> 00:26:02.580 align:start position:0% simplifications that we will use within this<00:26:00.970> language<00:26:01.210> so<00:26:01.960> there<00:26:02.170> are<00:26:02.260> these<00:26:02.410> I 00:26:02.580 --> 00:26:02.590 align:start position:0% this language so there are these I 00:26:02.590 --> 00:26:04.200 align:start position:0% this language so there are these I repeat<00:26:03.220> over<00:26:03.430> there<00:26:03.640> that<00:26:03.850> was<00:26:03.940> a<00:26:03.970> quiz 00:26:04.200 --> 00:26:04.210 align:start position:0% repeat over there that was a quiz 00:26:04.210 --> 00:26:08.460 align:start position:0% repeat over there that was a quiz natural<00:26:04.600> so<00:26:05.010> P<00:26:06.010> and<00:26:06.340> P<00:26:06.580> sub<00:26:06.880> 0<00:26:07.090> and<00:26:07.390> P<00:26:07.510> sub<00:26:07.690> 1<00:26:07.870> are 00:26:08.460 --> 00:26:08.470 align:start position:0% natural so P and P sub 0 and P sub 1 are 00:26:08.470 --> 00:26:11.400 align:start position:0% natural so P and P sub 0 and P sub 1 are going<00:26:08.710> to<00:26:08.800> be<00:26:08.920> our<00:26:09.270> our<00:26:10.270> summons<00:26:10.900> for<00:26:11.380> a 00:26:11.400 --> 00:26:11.410 align:start position:0% going to be our our summons for a 00:26:11.410 --> 00:26:14.190 align:start position:0% going to be our our summons for a generic<00:26:11.910> proposition<00:26:12.910> okay<00:26:13.390> so<00:26:13.750> this<00:26:13.870> is<00:26:14.020> any 00:26:14.190 --> 00:26:14.200 align:start position:0% generic proposition okay so this is any 00:26:14.200 --> 00:26:15.960 align:start position:0% generic proposition okay so this is any expression<00:26:14.650> in<00:26:14.770> this<00:26:14.860> language<00:26:15.070> which 00:26:15.960 --> 00:26:15.970 align:start position:0% expression in this language which 00:26:15.970 --> 00:26:17.190 align:start position:0% expression in this language which evaluates<00:26:16.270> to<00:26:16.630> true<00:26:16.660> or<00:26:16.810> false 00:26:17.190 --> 00:26:17.200 align:start position:0% evaluates to true or false 00:26:17.200 --> 00:26:20.040 align:start position:0% evaluates to true or false ok<00:26:17.740> I<00:26:18.010> think<00:26:18.790> that<00:26:18.880> means<00:26:19.240> it's<00:26:19.390> closed<00:26:19.720> so 00:26:20.040 --> 00:26:20.050 align:start position:0% ok I think that means it's closed so 00:26:20.050 --> 00:26:21.600 align:start position:0% ok I think that means it's closed so there's<00:26:20.290> no<00:26:20.410> variable<00:26:20.710> floating<00:26:21.190> around<00:26:21.280> in 00:26:21.600 --> 00:26:21.610 align:start position:0% there's no variable floating around in 00:26:21.610 --> 00:26:23.520 align:start position:0% there's no variable floating around in there<00:26:21.700> all<00:26:21.850> the<00:26:21.940> grandmas<00:26:22.300> or<00:26:22.420> mobile<00:26:22.600> pod<00:26:22.870> and 00:26:23.520 --> 00:26:23.530 align:start position:0% there all the grandmas or mobile pod and 00:26:23.530 --> 00:26:26.250 align:start position:0% there all the grandmas or mobile pod and it's<00:26:23.710> well-formed<00:26:24.340> ok<00:26:24.700> you<00:26:24.910> know<00:26:25.180> you<00:26:25.480> know 00:26:26.250 --> 00:26:26.260 align:start position:0% it's well-formed ok you know you know 00:26:26.260 --> 00:26:28.800 align:start position:0% it's well-formed ok you know you know the<00:26:27.130> street<00:26:27.430> not<00:26:27.670> not<00:26:27.940> was<00:26:28.210> nothing<00:26:28.510> after<00:26:28.630> it 00:26:28.800 --> 00:26:28.810 align:start position:0% the street not not was nothing after it 00:26:28.810 --> 00:26:30.000 align:start position:0% the street not not was nothing after it is<00:26:28.990> not<00:26:29.140> well 00:26:30.000 --> 00:26:30.010 align:start position:0% is not well 00:26:30.010 --> 00:26:32.010 align:start position:0% is not well composition<00:26:30.880> it's<00:26:31.059> just<00:26:31.240> like<00:26:31.390> this<00:26:31.570> we're 00:26:32.010 --> 00:26:32.020 align:start position:0% composition it's just like this we're 00:26:32.020 --> 00:26:34.110 align:start position:0% composition it's just like this we're vacuous<00:26:32.799> statement<00:26:33.549> that<00:26:33.640> has<00:26:33.730> no<00:26:33.880> memory 00:26:34.110 --> 00:26:34.120 align:start position:0% vacuous statement that has no memory 00:26:34.120 --> 00:26:35.820 align:start position:0% vacuous statement that has no memory tonight<00:26:34.419> yeah<00:26:34.929> okay 00:26:35.820 --> 00:26:35.830 align:start position:0% tonight yeah okay 00:26:35.830 --> 00:26:39.539 align:start position:0% tonight yeah okay now<00:26:36.280> along<00:26:36.700> with<00:26:37.020> with<00:26:38.020> compositions<00:26:38.590> we<00:26:39.340> also 00:26:39.539 --> 00:26:39.549 align:start position:0% now along with with compositions we also 00:26:39.549 --> 00:26:42.330 align:start position:0% now along with with compositions we also have<00:26:39.940> formulas<00:26:40.780> okay<00:26:41.530> which<00:26:41.679> accept<00:26:42.070> as<00:26:42.220> an 00:26:42.330 --> 00:26:42.340 align:start position:0% have formulas okay which accept as an 00:26:42.340 --> 00:26:45.060 align:start position:0% have formulas okay which accept as an input<00:26:42.549> some<00:26:42.760> variable<00:26:43.210> so<00:26:43.600> for<00:26:43.840> example<00:26:44.230> x 00:26:45.060 --> 00:26:45.070 align:start position:0% input some variable so for example x 00:26:45.070 --> 00:26:47.909 align:start position:0% input some variable so for example x equals<00:26:45.549> 5<00:26:45.790> is<00:26:46.150> an<00:26:46.630> example<00:26:46.900> of<00:26:47.049> a<00:26:47.140> P<00:26:47.350> of<00:26:47.440> X<00:26:47.590> right 00:26:47.909 --> 00:26:47.919 align:start position:0% equals 5 is an example of a P of X right 00:26:47.919 --> 00:26:51.330 align:start position:0% equals 5 is an example of a P of X right P<00:26:48.130> of<00:26:48.220> X<00:26:48.400> you<00:26:48.820> know<00:26:49.200> that's<00:26:50.200> re<00:26:50.380> X<00:26:50.799> greater<00:26:51.100> than 00:26:51.330 --> 00:26:51.340 align:start position:0% P of X you know that's re X greater than 00:26:51.340 --> 00:26:55.110 align:start position:0% P of X you know that's re X greater than 5<00:26:51.610> and<00:26:51.640> this<00:26:51.970> example<00:26:52.390> of<00:26:52.710> a<00:26:53.710> formula<00:26:54.580> because 00:26:55.110 --> 00:26:55.120 align:start position:0% 5 and this example of a formula because 00:26:55.120 --> 00:26:56.430 align:start position:0% 5 and this example of a formula because you<00:26:55.450> can<00:26:55.570> plug<00:26:55.690> in<00:26:55.840> different<00:26:55.900> actions<00:26:56.350> that 00:26:56.430 --> 00:26:56.440 align:start position:0% you can plug in different actions that 00:26:56.440 --> 00:26:58.049 align:start position:0% you can plug in different actions that will<00:26:56.620> be<00:26:56.679> true<00:26:56.919> or<00:26:57.070> false<00:26:57.220> and<00:26:57.549> they're<00:26:57.700> free 00:26:58.049 --> 00:26:58.059 align:start position:0% will be true or false and they're free 00:26:58.059 --> 00:27:02.340 align:start position:0% will be true or false and they're free in<00:26:58.480> X<00:26:58.750> right<00:26:59.250> in<00:27:00.250> cents<00:27:00.460> a<00:27:00.520> room<00:27:01.290> excellent 00:27:02.340 --> 00:27:02.350 align:start position:0% in X right in cents a room excellent 00:27:02.350 --> 00:27:04.289 align:start position:0% in X right in cents a room excellent okay<00:27:02.590> and<00:27:03.280> I'm<00:27:03.580> going<00:27:03.790> to<00:27:03.820> use<00:27:03.940> a<00:27:03.970> script 00:27:04.289 --> 00:27:04.299 align:start position:0% okay and I'm going to use a script 00:27:04.299 --> 00:27:08.909 align:start position:0% okay and I'm going to use a script notation<00:27:04.809> for<00:27:05.710> P<00:27:06.400> of<00:27:06.549> T<00:27:06.760> so<00:27:07.470> this<00:27:08.470> is<00:27:08.530> a<00:27:08.620> little 00:27:08.909 --> 00:27:08.919 align:start position:0% notation for P of T so this is a little 00:27:08.919 --> 00:27:09.990 align:start position:0% notation for P of T so this is a little tricky<00:27:09.100> but<00:27:09.250> what<00:27:09.400> we're<00:27:09.549> doing<00:27:09.580> here<00:27:09.760> is 00:27:09.990 --> 00:27:10.000 align:start position:0% tricky but what we're doing here is 00:27:10.000 --> 00:27:14.390 align:start position:0% tricky but what we're doing here is we're<00:27:10.150> plugging<00:27:10.360> in<00:27:10.570> 2<00:27:10.840> for<00:27:10.870> X<00:27:11.320> okay<00:27:12.220> so<00:27:13.169> right 00:27:14.390 --> 00:27:14.400 align:start position:0% we're plugging in 2 for X okay so right 00:27:14.400 --> 00:27:16.919 align:start position:0% we're plugging in 2 for X okay so right there<00:27:15.400> any<00:27:15.580> more<00:27:15.760> consumers<00:27:16.299> and<00:27:16.540> I<00:27:16.600> can 00:27:16.919 --> 00:27:16.929 align:start position:0% there any more consumers and I can 00:27:16.929 --> 00:27:19.860 align:start position:0% there any more consumers and I can scream<00:27:17.140> onstage<00:27:17.970> but<00:27:18.970> for<00:27:19.150> example<00:27:19.240> for<00:27:19.660> the<00:27:19.720> P 00:27:19.860 --> 00:27:19.870 align:start position:0% scream onstage but for example for the P 00:27:19.870 --> 00:27:24.510 align:start position:0% scream onstage but for example for the P of<00:27:19.900> X<00:27:20.080> X<00:27:20.530> greater<00:27:20.710> than<00:27:20.890> 5<00:27:21.240> P<00:27:22.240> of<00:27:22.419> X<00:27:22.630> /<00:27:23.320> 10<00:27:24.190> would 00:27:24.510 --> 00:27:24.520 align:start position:0% of X X greater than 5 P of X / 10 would 00:27:24.520 --> 00:27:26.430 align:start position:0% of X X greater than 5 P of X / 10 would be<00:27:24.850> 10<00:27:25.179> greater<00:27:25.480> than<00:27:25.690> 5<00:27:25.929> right<00:27:26.230> which<00:27:26.350> would 00:27:26.430 --> 00:27:26.440 align:start position:0% be 10 greater than 5 right which would 00:27:26.440 --> 00:27:29.190 align:start position:0% be 10 greater than 5 right which would happen<00:27:26.590> to<00:27:26.740> be<00:27:26.799> true<00:27:27.100> right<00:27:27.720> good<00:27:28.720> make<00:27:28.960> sense 00:27:29.190 --> 00:27:29.200 align:start position:0% happen to be true right good make sense 00:27:29.200 --> 00:27:33.330 align:start position:0% happen to be true right good make sense make<00:27:29.559> sense<00:27:29.820> questions<00:27:30.820> comments<00:27:31.299> concerns 00:27:33.330 --> 00:27:33.340 align:start position:0% make sense questions comments concerns 00:27:33.340 --> 00:27:35.520 align:start position:0% school<00:27:33.880> education<00:27:34.270> is<00:27:34.480> just<00:27:34.660> the<00:27:35.350> particular 00:27:35.520 --> 00:27:35.530 align:start position:0% school education is just the particular 00:27:35.530 --> 00:27:37.920 align:start position:0% school education is just the particular evaluation<00:27:36.100> of<00:27:36.580> PD<00:27:36.880> where<00:27:37.060> X<00:27:37.390> is<00:27:37.570> equal<00:27:37.840> to 00:27:37.920 --> 00:27:37.930 align:start position:0% evaluation of PD where X is equal to 00:27:37.930 --> 00:27:39.750 align:start position:0% evaluation of PD where X is equal to correct<00:27:38.440> it's<00:27:38.620> a<00:27:38.680> particularly<00:27:39.100> you<00:27:39.400> plug<00:27:39.640> in 00:27:39.750 --> 00:27:39.760 align:start position:0% correct it's a particularly you plug in 00:27:39.760 --> 00:27:41.220 align:start position:0% correct it's a particularly you plug in in<00:27:39.850> your<00:27:40.030> summary<00:27:40.390> actually<00:27:40.720> it's<00:27:40.870> very<00:27:40.930> hard 00:27:41.220 --> 00:27:41.230 align:start position:0% in your summary actually it's very hard 00:27:41.230 --> 00:27:44.100 align:start position:0% in your summary actually it's very hard to<00:27:41.260> see<00:27:41.410> fun<00:27:41.850> yes<00:27:42.850> okay<00:27:43.180> okay<00:27:43.300> well<00:27:43.720> apologies 00:27:44.100 --> 00:27:44.110 align:start position:0% to see fun yes okay okay well apologies 00:27:44.110 --> 00:27:46.110 align:start position:0% to see fun yes okay okay well apologies for<00:27:44.230> that<00:27:44.290> please<00:27:45.190> shout<00:27:45.520> out<00:27:45.670> if<00:27:45.820> you<00:27:45.910> can't 00:27:46.110 --> 00:27:46.120 align:start position:0% for that please shout out if you can't 00:27:46.120 --> 00:27:48.060 align:start position:0% for that please shout out if you can't see<00:27:46.270> things<00:27:46.510> and<00:27:47.080> we<00:27:47.320> will<00:27:47.470> whiteboard<00:27:47.860> them 00:27:48.060 --> 00:27:48.070 align:start position:0% see things and we will whiteboard them 00:27:48.070 --> 00:27:49.800 align:start position:0% see things and we will whiteboard them where<00:27:48.310> I<00:27:48.340> will<00:27:48.670> go<00:27:49.030> out<00:27:49.210> of<00:27:49.300> full<00:27:49.450> screen<00:27:49.480> and 00:27:49.800 --> 00:27:49.810 align:start position:0% where I will go out of full screen and 00:27:49.810 --> 00:27:53.250 align:start position:0% where I will go out of full screen and zoom<00:27:49.870> in<00:27:50.140> or<00:27:50.320> whatever<00:27:50.560> to<00:27:50.950> make<00:27:51.690> yes<00:27:52.690> exactly 00:27:53.250 --> 00:27:53.260 align:start position:0% zoom in or whatever to make yes exactly 00:27:53.260 --> 00:27:55.080 align:start position:0% zoom in or whatever to make yes exactly so<00:27:53.590> in<00:27:53.950> fact<00:27:54.190> why<00:27:54.370> don't<00:27:54.520> I<00:27:54.580> just<00:27:54.730> no<00:27:54.880> need<00:27:55.030> to 00:27:55.080 --> 00:27:55.090 align:start position:0% so in fact why don't I just no need to 00:27:55.090 --> 00:27:55.350 align:start position:0% so in fact why don't I just no need to do<00:27:55.180> that 00:27:55.350 --> 00:27:55.360 align:start position:0% do that 00:27:55.360 --> 00:27:58.200 align:start position:0% do that so<00:27:56.170> P<00:27:56.470> of<00:27:56.500> X<00:27:56.740> can<00:27:57.730> you<00:27:57.760> can<00:27:57.970> you<00:27:58.060> read<00:27:58.180> that 00:27:58.200 --> 00:27:58.210 align:start position:0% so P of X can you can you read that 00:27:58.210 --> 00:28:01.200 align:start position:0% so P of X can you can you read that maybe<00:27:58.570> that's<00:27:58.660> the<00:27:58.780> same<00:27:58.930> exact<00:27:59.170> size<00:27:59.320> oh<00:28:00.210> okay 00:28:01.200 --> 00:28:01.210 align:start position:0% maybe that's the same exact size oh okay 00:28:01.210 --> 00:28:03.060 align:start position:0% maybe that's the same exact size oh okay so<00:28:01.270> we've<00:28:01.480> got<00:28:01.510> some<00:28:01.810> peanuts<00:28:02.140> if<00:28:02.290> so<00:28:02.500> to<00:28:02.650> DMX 00:28:03.060 --> 00:28:03.070 align:start position:0% so we've got some peanuts if so to DMX 00:28:03.070 --> 00:28:05.610 align:start position:0% so we've got some peanuts if so to DMX let's<00:28:03.400> say<00:28:03.520> P<00:28:04.000> of<00:28:04.120> X<00:28:04.300> we've<00:28:05.050> defined<00:28:05.350> it<00:28:05.470> with<00:28:05.530> a 00:28:05.610 --> 00:28:05.620 align:start position:0% let's say P of X we've defined it with a 00:28:05.620 --> 00:28:10.740 align:start position:0% let's say P of X we've defined it with a dot<00:28:05.920> dot<00:28:06.130> equals<00:28:06.640> this<00:28:06.880> thing<00:28:07.120> is<00:28:07.980> x5<00:28:09.120> then<00:28:10.120> you 00:28:10.740 --> 00:28:10.750 align:start position:0% dot dot equals this thing is x5 then you 00:28:10.750 --> 00:28:14.220 align:start position:0% dot dot equals this thing is x5 then you know<00:28:10.870> P<00:28:11.140> of<00:28:11.440> X<00:28:12.450> which<00:28:13.450> directions<00:28:13.960> they<00:28:14.080> can 00:28:14.220 --> 00:28:14.230 align:start position:0% know P of X which directions they can 00:28:14.230 --> 00:28:18.750 align:start position:0% know P of X which directions they can slash<00:28:14.560> given<00:28:15.220> X<00:28:15.340> /<00:28:15.820> 10<00:28:16.480> would<00:28:16.870> you<00:28:17.860> know<00:28:17.980> would 00:28:18.750 --> 00:28:18.760 align:start position:0% slash given X / 10 would you know would 00:28:18.760 --> 00:28:21.990 align:start position:0% slash given X / 10 would you know would be<00:28:18.940> would<00:28:19.180> be<00:28:19.210> equivalent<00:28:19.540> to<00:28:20.190> 10<00:28:21.190> greater 00:28:21.990 --> 00:28:22.000 align:start position:0% be would be equivalent to 10 greater 00:28:22.000 --> 00:28:24.030 align:start position:0% be would be equivalent to 10 greater than<00:28:22.150> 5<00:28:22.360> okay<00:28:22.660> so<00:28:23.050> we<00:28:23.140> have<00:28:23.230> X<00:28:23.440> is<00:28:23.590> free<00:28:23.770> here 00:28:24.030 --> 00:28:24.040 align:start position:0% than 5 okay so we have X is free here 00:28:24.040 --> 00:28:26.100 align:start position:0% than 5 okay so we have X is free here and<00:28:24.250> now<00:28:24.850> 10<00:28:25.240> has<00:28:25.390> been<00:28:25.540> subsidence<00:28:25.990> of 00:28:26.100 --> 00:28:26.110 align:start position:0% and now 10 has been subsidence of 00:28:26.110 --> 00:28:30.690 align:start position:0% and now 10 has been subsidence of impress<00:28:26.970> okay<00:28:28.000> excellent<00:28:28.630> excellent 00:28:30.690 --> 00:28:30.700 align:start position:0% impress okay excellent excellent 00:28:30.700 --> 00:28:38.150 align:start position:0% impress okay excellent excellent [Music] 00:28:38.150 --> 00:28:38.160 align:start position:0% 00:28:38.160 --> 00:28:43.530 align:start position:0% the<00:28:39.960> very<00:28:40.960> right<00:28:41.230> absolutely<00:28:42.190> yeah<00:28:42.670> I'm<00:28:43.150> sorry 00:28:43.530 --> 00:28:43.540 align:start position:0% the very right absolutely yeah I'm sorry 00:28:43.540 --> 00:28:46.500 align:start position:0% the very right absolutely yeah I'm sorry it's<00:28:43.690> this<00:28:43.870> tough<00:28:44.200> life<00:28:44.440> or<00:28:44.710> is<00:28:44.800> this<00:28:45.300> okay 00:28:46.500 --> 00:28:46.510 align:start position:0% it's this tough life or is this okay 00:28:46.510 --> 00:28:49.350 align:start position:0% it's this tough life or is this okay yes<00:28:47.430> well<00:28:48.430> let's<00:28:48.580> read<00:28:48.790> let's<00:28:48.880> read<00:28:49.180> it<00:28:49.270> out 00:28:49.350 --> 00:28:49.360 align:start position:0% yes well let's read let's read it out 00:28:49.360 --> 00:28:50.670 align:start position:0% yes well let's read let's read it out loud<00:28:49.390> so<00:28:49.630> there's<00:28:49.810> actually<00:28:49.930> two<00:28:50.140> there's 00:28:50.670 --> 00:28:50.680 align:start position:0% loud so there's actually two there's 00:28:50.680 --> 00:28:52.410 align:start position:0% loud so there's actually two there's actually<00:28:51.010> something<00:28:51.460> just<00:28:51.640> outlined<00:28:52.300> in 00:28:52.410 --> 00:28:52.420 align:start position:0% actually something just outlined in 00:28:52.420 --> 00:28:55.500 align:start position:0% actually something just outlined in Section<00:28:52.780> two<00:28:52.930> so<00:28:53.710> are<00:28:53.830> even<00:28:54.160> today<00:28:54.250> as<00:28:54.550> a 00:28:55.500 --> 00:28:55.510 align:start position:0% Section two so are even today as a 00:28:55.510 --> 00:28:57.840 align:start position:0% Section two so are even today as a batsman<00:28:55.810> who<00:28:56.290> the<00:28:56.440> straining<00:28:56.650> yes<00:28:57.100> so<00:28:57.640> this 00:28:57.840 --> 00:28:57.850 align:start position:0% batsman who the straining yes so this 00:28:57.850 --> 00:29:00.810 align:start position:0% batsman who the straining yes so this expression<00:28:58.270> read<00:28:58.630> analysis<00:28:59.200> for<00:28:59.740> all<00:29:00.010> X<00:29:00.370> and<00:29:00.580> X 00:29:00.810 --> 00:29:00.820 align:start position:0% expression read analysis for all X and X 00:29:00.820 --> 00:29:03.390 align:start position:0% expression read analysis for all X and X so<00:29:01.390> X<00:29:01.690> look<00:29:01.990> little<00:29:02.260> X<00:29:02.410> in<00:29:02.560> big<00:29:02.770> ax<00:29:02.950> right<00:29:03.220> so 00:29:03.390 --> 00:29:03.400 align:start position:0% so X look little X in big ax right so 00:29:03.400 --> 00:29:05.340 align:start position:0% so X look little X in big ax right so this<00:29:03.490> is<00:29:03.550> the<00:29:03.790> set<00:29:04.090> the<00:29:04.570> domain<00:29:05.080> of 00:29:05.340 --> 00:29:05.350 align:start position:0% this is the set the domain of 00:29:05.350 --> 00:29:10.650 align:start position:0% this is the set the domain of quantification<00:29:06.270> few<00:29:07.270> days<00:29:07.450> okay<00:29:08.260> and<00:29:09.660> this 00:29:10.650 --> 00:29:10.660 align:start position:0% quantification few days okay and this 00:29:10.660 --> 00:29:13.680 align:start position:0% quantification few days okay and this says<00:29:10.930> there<00:29:11.350> exists<00:29:11.890> X<00:29:12.100> in<00:29:12.460> X<00:29:12.670> such<00:29:13.150> that<00:29:13.180> P<00:29:13.660> of 00:29:13.680 --> 00:29:13.690 align:start position:0% says there exists X in X such that P of 00:29:13.690 --> 00:29:17.700 align:start position:0% says there exists X in X such that P of X<00:29:13.930> okay<00:29:15.720> right<00:29:16.720> and<00:29:16.930> so<00:29:17.110> what<00:29:17.290> we<00:29:17.410> will<00:29:17.560> see 00:29:17.700 --> 00:29:17.710 align:start position:0% X okay right and so what we will see 00:29:17.710 --> 00:29:18.960 align:start position:0% X okay right and so what we will see right<00:29:18.040> well<00:29:18.190> one<00:29:18.340> up<00:29:18.490> seeing<00:29:18.700> is<00:29:18.790> we're<00:29:18.880> going 00:29:18.960 --> 00:29:18.970 align:start position:0% right well one up seeing is we're going 00:29:18.970 --> 00:29:20.040 align:start position:0% right well one up seeing is we're going to<00:29:19.030> be<00:29:19.120> we're<00:29:19.300> gonna<00:29:19.450> start<00:29:19.660> building<00:29:19.810> up 00:29:20.040 --> 00:29:20.050 align:start position:0% to be we're gonna start building up 00:29:20.050 --> 00:29:22.980 align:start position:0% to be we're gonna start building up disputes<00:29:20.590> or<00:29:21.130> sentences<00:29:21.610> for<00:29:21.850> all<00:29:22.060> X<00:29:22.300> in<00:29:22.570> P<00:29:22.900> of 00:29:22.980 --> 00:29:22.990 align:start position:0% disputes or sentences for all X in P of 00:29:22.990 --> 00:29:25.680 align:start position:0% disputes or sentences for all X in P of X<00:29:23.140> so<00:29:23.590> we<00:29:23.680> also<00:29:23.800> can<00:29:23.980> say<00:29:24.100> I<00:29:24.220> have<00:29:25.000> this<00:29:25.180> X<00:29:25.420> and 00:29:25.680 --> 00:29:25.690 align:start position:0% X so we also can say I have this X and 00:29:25.690 --> 00:29:27.870 align:start position:0% X so we also can say I have this X and I'm<00:29:25.780> playing<00:29:26.020> not<00:29:26.350> to<00:29:26.380> P<00:29:26.650> slash<00:29:26.890> but<00:29:27.580> you<00:29:27.760> know 00:29:27.870 --> 00:29:27.880 align:start position:0% I'm playing not to P slash but you know 00:29:27.880 --> 00:29:29.550 align:start position:0% I'm playing not to P slash but you know whatever<00:29:28.060> the<00:29:28.330> special<00:29:28.660> cases<00:29:28.840> they're<00:29:29.290> that 00:29:29.550 --> 00:29:29.560 align:start position:0% whatever the special cases they're that 00:29:29.560 --> 00:29:32.280 align:start position:0% whatever the special cases they're that they're<00:29:29.680> kind<00:29:29.920> of<00:29:29.980> discouraged<00:29:30.340> I<00:29:30.700> just 00:29:32.280 --> 00:29:32.290 align:start position:0% they're kind of discouraged I just 00:29:32.290 --> 00:29:37.500 align:start position:0% they're kind of discouraged I just okay<00:29:32.860> okay<00:29:33.310> other<00:29:33.700> questions<00:29:36.390> excellent<00:29:37.390> and 00:29:37.500 --> 00:29:37.510 align:start position:0% okay okay other questions excellent and 00:29:37.510 --> 00:29:39.240 align:start position:0% okay okay other questions excellent and how<00:29:37.570> are<00:29:37.690> we<00:29:37.750> doing<00:29:37.960> on<00:29:38.020> time<00:29:38.050> oh<00:29:38.530> great<00:29:39.160> I 00:29:39.240 --> 00:29:39.250 align:start position:0% how are we doing on time oh great I 00:29:39.250 --> 00:29:40.230 align:start position:0% how are we doing on time oh great I don't<00:29:39.400> think<00:29:39.430> we'll<00:29:39.610> finish<00:29:39.730> it's<00:29:40.120> been 00:29:40.230 --> 00:29:40.240 align:start position:0% don't think we'll finish it's been 00:29:40.240 --> 00:29:40.590 align:start position:0% don't think we'll finish it's been touched 00:29:40.590 --> 00:29:40.600 align:start position:0% touched 00:29:40.600 --> 00:29:44.580 align:start position:0% touched where<00:29:41.050> do<00:29:41.110> we<00:29:41.200> get<00:29:41.320> out<00:29:41.410> here<00:29:41.820> 3:15<00:29:42.870> no<00:29:43.870> okay 00:29:44.580 --> 00:29:44.590 align:start position:0% where do we get out here 3:15 no okay 00:29:44.590 --> 00:29:47.850 align:start position:0% where do we get out here 3:15 no okay let's<00:29:44.860> call<00:29:45.070> it<00:29:45.130> 350<00:29:46.320> okay<00:29:47.350> and<00:29:47.500> then<00:29:47.620> the<00:29:47.710> last 00:29:47.850 --> 00:29:47.860 align:start position:0% let's call it 350 okay and then the last 00:29:47.860 --> 00:29:48.870 align:start position:0% let's call it 350 okay and then the last thing<00:29:48.040> that<00:29:48.100> we're<00:29:48.280> going<00:29:48.370> to<00:29:48.460> cover<00:29:48.580> in<00:29:48.790> this 00:29:48.870 --> 00:29:48.880 align:start position:0% thing that we're going to cover in this 00:29:48.880 --> 00:29:50.370 align:start position:0% thing that we're going to cover in this language<00:29:49.090> which<00:29:49.630> remember<00:29:49.990> we<00:29:50.080> touched<00:29:50.290> on 00:29:50.370 --> 00:29:50.380 align:start position:0% language which remember we touched on 00:29:50.380 --> 00:29:51.450 align:start position:0% language which remember we touched on the<00:29:50.500> floor<00:29:50.740> you've<00:29:51.100> got<00:29:51.190> a<00:29:51.220> target 00:29:51.450 --> 00:29:51.460 align:start position:0% the floor you've got a target 00:29:51.460 --> 00:29:53.100 align:start position:0% the floor you've got a target proposition<00:29:52.030> so<00:29:52.270> if<00:29:52.420> the<00:29:52.540> other<00:29:52.690> things<00:29:52.900> too 00:29:53.100 --> 00:29:53.110 align:start position:0% proposition so if the other things too 00:29:53.110 --> 00:29:54.960 align:start position:0% proposition so if the other things too small<00:29:53.470> this<00:29:53.620> is<00:29:53.740> definitely<00:29:54.010> small<00:29:54.370> but<00:29:54.880> it 00:29:54.960 --> 00:29:54.970 align:start position:0% small this is definitely small but it 00:29:54.970 --> 00:29:56.160 align:start position:0% small this is definitely small but it was<00:29:55.000> like<00:29:55.240> what's<00:29:55.480> a<00:29:55.570> simple<00:29:55.840> atomic 00:29:56.160 --> 00:29:56.170 align:start position:0% was like what's a simple atomic 00:29:56.170 --> 00:29:58.020 align:start position:0% was like what's a simple atomic proposition<00:29:56.620> in<00:29:56.740> equals<00:29:57.160> so<00:29:57.640> actually<00:29:57.940> that's 00:29:58.020 --> 00:29:58.030 align:start position:0% proposition in equals so actually that's 00:29:58.030 --> 00:29:59.880 align:start position:0% proposition in equals so actually that's a<00:29:58.150> bit<00:29:58.270> of<00:29:58.330> a<00:29:58.390> lie<00:29:58.570> equals<00:29:59.170> is<00:29:59.350> that<00:29:59.530> it's<00:29:59.680> like 00:29:59.880 --> 00:29:59.890 align:start position:0% a bit of a lie equals is that it's like 00:29:59.890 --> 00:30:02.160 align:start position:0% a bit of a lie equals is that it's like really<00:30:00.430> connected<00:30:00.850> so<00:30:00.970> really<00:30:01.180> five<00:30:01.660> equals 00:30:02.160 --> 00:30:02.170 align:start position:0% really connected so really five equals 00:30:02.170 --> 00:30:02.460 align:start position:0% really connected so really five equals ten 00:30:02.460 --> 00:30:02.470 align:start position:0% ten 00:30:02.470 --> 00:30:03.870 align:start position:0% ten that's<00:30:02.860> an<00:30:02.950> atomic<00:30:03.310> proposition<00:30:03.760> and 00:30:03.870 --> 00:30:03.880 align:start position:0% that's an atomic proposition and 00:30:03.880 --> 00:30:06.060 align:start position:0% that's an atomic proposition and evaluates<00:30:04.240> to<00:30:04.360> false<00:30:04.390> right<00:30:04.930> but<00:30:05.080> but<00:30:05.500> things 00:30:06.060 --> 00:30:06.070 align:start position:0% evaluates to false right but but things 00:30:06.070 --> 00:30:07.500 align:start position:0% evaluates to false right but but things worthy<00:30:06.340> where<00:30:06.730> both<00:30:06.910> sides<00:30:07.150> of<00:30:07.240> the<00:30:07.300> equals 00:30:07.500 --> 00:30:07.510 align:start position:0% worthy where both sides of the equals 00:30:07.510 --> 00:30:09.000 align:start position:0% worthy where both sides of the equals are<00:30:07.630> filled<00:30:07.840> they<00:30:08.500> come<00:30:08.650> an<00:30:08.710> atomic 00:30:09.000 --> 00:30:09.010 align:start position:0% are filled they come an atomic 00:30:09.010 --> 00:30:10.650 align:start position:0% are filled they come an atomic proposition<00:30:09.460> greater<00:30:09.820> than<00:30:10.060> there's<00:30:10.540> no 00:30:10.650 --> 00:30:10.660 align:start position:0% proposition greater than there's no 00:30:10.660 --> 00:30:12.600 align:start position:0% proposition greater than there's no example<00:30:11.080> right<00:30:11.350> less<00:30:11.770> then<00:30:12.070> there's<00:30:12.460> another 00:30:12.600 --> 00:30:12.610 align:start position:0% example right less then there's another 00:30:12.610 --> 00:30:14.940 align:start position:0% example right less then there's another table<00:30:12.880> okay<00:30:13.810> I<00:30:13.840> know<00:30:14.140> there's<00:30:14.320> there's<00:30:14.680> three 00:30:14.940 --> 00:30:14.950 align:start position:0% table okay I know there's there's three 00:30:14.950 --> 00:30:17.130 align:start position:0% table okay I know there's there's three in<00:30:14.980> particular<00:30:15.550> which<00:30:15.820> are<00:30:16.030> very<00:30:16.810> interesting 00:30:17.130 --> 00:30:17.140 align:start position:0% in particular which are very interesting 00:30:17.140 --> 00:30:19.860 align:start position:0% in particular which are very interesting to<00:30:17.170> us<00:30:17.440> building<00:30:18.100> layer<00:30:18.310> two<00:30:18.610> things<00:30:18.940> which<00:30:19.690> is 00:30:19.860 --> 00:30:19.870 align:start position:0% to us building layer two things which is 00:30:19.870 --> 00:30:22.770 align:start position:0% to us building layer two things which is is<00:30:20.110> this<00:30:20.500> thing<00:30:20.740> the<00:30:20.860> hash<00:30:21.040> tag<00:30:21.370> image<00:30:21.610> so<00:30:22.570> it's 00:30:22.770 --> 00:30:22.780 align:start position:0% is this thing the hash tag image so it's 00:30:22.780 --> 00:30:24.390 align:start position:0% is this thing the hash tag image so it's this<00:30:22.900> little<00:30:23.080> H<00:30:23.320> the<00:30:23.620> hash<00:30:23.770> English<00:30:24.190> to<00:30:24.310> this 00:30:24.390 --> 00:30:24.400 align:start position:0% this little H the hash English to this 00:30:24.400 --> 00:30:26.340 align:start position:0% this little H the hash English to this big<00:30:24.610> age<00:30:24.760> which<00:30:25.360> basically<00:30:25.690> is<00:30:25.930> equivalent<00:30:26.320> to 00:30:26.340 --> 00:30:26.350 align:start position:0% big age which basically is equivalent to 00:30:26.350 --> 00:30:28.800 align:start position:0% big age which basically is equivalent to saying<00:30:26.530> hash<00:30:27.010> of<00:30:27.340> blue<00:30:27.520> H<00:30:27.700> equals<00:30:28.210> H<00:30:28.480> right 00:30:28.800 --> 00:30:28.810 align:start position:0% saying hash of blue H equals H right 00:30:28.810 --> 00:30:29.970 align:start position:0% saying hash of blue H equals H right these<00:30:29.020> are<00:30:29.050> the<00:30:29.170> these<00:30:29.380> are<00:30:29.560> these<00:30:29.680> are<00:30:29.740> these 00:30:29.970 --> 00:30:29.980 align:start position:0% these are the these are these are these 00:30:29.980 --> 00:30:31.380 align:start position:0% these are the these are these are these two<00:30:30.220> atomic<00:30:30.550> propositions 00:30:31.380 --> 00:30:31.390 align:start position:0% two atomic propositions 00:30:31.390 --> 00:30:37.080 align:start position:0% two atomic propositions well<00:30:31.630> we<00:30:31.750> have<00:30:31.900> lights<00:30:32.080> turn<00:30:32.290> off<00:30:35.820> right 00:30:37.080 --> 00:30:37.090 align:start position:0% well we have lights turn off right 00:30:37.090 --> 00:30:39.630 align:start position:0% well we have lights turn off right okay<00:30:37.540> and<00:30:38.140> otherwise<00:30:38.440> verify<00:30:39.040> signature 00:30:39.630 --> 00:30:39.640 align:start position:0% okay and otherwise verify signature 00:30:39.640 --> 00:30:40.710 align:start position:0% okay and otherwise verify signature right<00:30:39.970> so<00:30:40.150> we're<00:30:40.300> all<00:30:40.390> familiar<00:30:40.480> with 00:30:40.710 --> 00:30:40.720 align:start position:0% right so we're all familiar with 00:30:40.720 --> 00:30:42.150 align:start position:0% right so we're all familiar with signatures<00:30:41.230> in<00:30:41.410> the<00:30:41.500> Wild<00:30:41.770> West<00:30:41.920> of 00:30:42.150 --> 00:30:42.160 align:start position:0% signatures in the Wild West of 00:30:42.160 --> 00:30:44.970 align:start position:0% signatures in the Wild West of cryptocurrency<00:30:42.850> which<00:30:43.560> is<00:30:44.560> a<00:30:44.620> very<00:30:44.800> fun 00:30:44.970 --> 00:30:44.980 align:start position:0% cryptocurrency which is a very fun 00:30:44.980 --> 00:30:46.500 align:start position:0% cryptocurrency which is a very fun actually<00:30:45.640> you<00:30:45.700> can<00:30:45.850> build<00:30:46.030> a<00:30:46.120> signature<00:30:46.420> of 00:30:46.500 --> 00:30:46.510 align:start position:0% actually you can build a signature of 00:30:46.510 --> 00:30:48.480 align:start position:0% actually you can build a signature of the<00:30:46.630> hash<00:30:46.810> function<00:30:46.840> it<00:30:47.230> turns<00:30:47.440> out<00:30:47.680> Lamport 00:30:48.480 --> 00:30:48.490 align:start position:0% the hash function it turns out Lamport 00:30:48.490 --> 00:30:50.340 align:start position:0% the hash function it turns out Lamport Leslie<00:30:48.910> I'm<00:30:49.000> quickly<00:30:49.210> at<00:30:49.390> night<00:30:49.540> and<00:30:50.230> the<00:30:50.320> last 00:30:50.340 --> 00:30:50.350 align:start position:0% Leslie I'm quickly at night and the last 00:30:50.350 --> 00:30:52.380 align:start position:0% Leslie I'm quickly at night and the last thing<00:30:50.740> verify<00:30:51.220> inclusion<00:30:51.910> what<00:30:52.030> they<00:30:52.150> were<00:30:52.210> to 00:30:52.380 --> 00:30:52.390 align:start position:0% thing verify inclusion what they were to 00:30:52.390 --> 00:30:53.990 align:start position:0% thing verify inclusion what they were to verify<00:30:52.690> inclusion<00:30:53.080> of<00:30:53.110> the<00:30:53.230> thing<00:30:53.380> ever 00:30:53.990 --> 00:30:54.000 align:start position:0% verify inclusion of the thing ever 00:30:54.000 --> 00:30:55.670 align:start position:0% verify inclusion of the thing ever this<00:30:54.150> of<00:30:54.390> all<00:30:54.960> the<00:30:55.050> functions<00:30:55.530> that<00:30:55.560> are 00:30:55.670 --> 00:30:55.680 align:start position:0% this of all the functions that are 00:30:55.680 --> 00:30:57.410 align:start position:0% this of all the functions that are evaluated<00:30:56.220> to<00:30:56.250> true<00:30:56.370> or<00:30:56.550> false<00:30:56.790> the<00:30:57.120> coming 00:30:57.410 --> 00:30:57.420 align:start position:0% evaluated to true or false the coming 00:30:57.420 --> 00:31:02.330 align:start position:0% evaluated to true or false the coming position<00:30:57.960> any<00:30:58.260> function<00:30:58.770> you<00:30:58.800> can<00:30:59.040> imagine<00:31:01.340> so 00:31:02.330 --> 00:31:02.340 align:start position:0% position any function you can imagine so 00:31:02.340 --> 00:31:06.020 align:start position:0% position any function you can imagine so I<00:31:02.780> have<00:31:03.780> only<00:31:03.960> has<00:31:04.200> it<00:31:04.350> my<00:31:05.190> intuitive<00:31:05.880> answer 00:31:06.020 --> 00:31:06.030 align:start position:0% I have only has it my intuitive answer 00:31:06.030 --> 00:31:07.520 align:start position:0% I have only has it my intuitive answer is<00:31:06.240> yes<00:31:06.510> and<00:31:06.750> I<00:31:06.780> think<00:31:06.840> intuitively<00:31:07.200> you 00:31:07.520 --> 00:31:07.530 align:start position:0% is yes and I think intuitively you 00:31:07.530 --> 00:31:11.260 align:start position:0% is yes and I think intuitively you should<00:31:07.710> think<00:31:07.860> of<00:31:07.980> this<00:31:08.100> is<00:31:08.250> no<00:31:08.790> no<00:31:08.970> actually 00:31:11.260 --> 00:31:11.270 align:start position:0% 00:31:11.270 --> 00:31:13.730 align:start position:0% okay<00:31:12.270> so<00:31:12.660> no<00:31:12.840> literally 00:31:13.730 --> 00:31:13.740 align:start position:0% okay so no literally 00:31:13.740 --> 00:31:15.860 align:start position:0% okay so no literally the<00:31:14.220> important<00:31:14.640> thing<00:31:14.820> is<00:31:15.000> that<00:31:15.300> it<00:31:15.570> is<00:31:15.660> free 00:31:15.860 --> 00:31:15.870 align:start position:0% the important thing is that it is free 00:31:15.870 --> 00:31:19.010 align:start position:0% the important thing is that it is free of<00:31:16.190> these<00:31:17.190> logical<00:31:17.640> connectives<00:31:18.060> ok<00:31:18.450> so<00:31:18.930> if 00:31:19.010 --> 00:31:19.020 align:start position:0% of these logical connectives ok so if 00:31:19.020 --> 00:31:20.810 align:start position:0% of these logical connectives ok so if you<00:31:19.110> have<00:31:19.260> some<00:31:19.440> fans<00:31:19.650> and<00:31:20.160> some<00:31:20.310> nonsense 00:31:20.810 --> 00:31:20.820 align:start position:0% you have some fans and some nonsense 00:31:20.820 --> 00:31:22.160 align:start position:0% you have some fans and some nonsense ores<00:31:21.150> or<00:31:21.420> some<00:31:21.630> quantifiers 00:31:22.160 --> 00:31:22.170 align:start position:0% ores or some quantifiers 00:31:22.170 --> 00:31:25.280 align:start position:0% ores or some quantifiers this<00:31:22.680> isn't<00:31:23.040> so<00:31:23.250> a<00:31:23.520> and<00:31:24.150> B<00:31:24.420> where<00:31:24.870> they<00:31:24.990> are<00:31:25.140> two 00:31:25.280 --> 00:31:25.290 align:start position:0% this isn't so a and B where they are two 00:31:25.290 --> 00:31:26.990 align:start position:0% this isn't so a and B where they are two atomic<00:31:25.530> propositions<00:31:26.040> is<00:31:26.190> not<00:31:26.520> a<00:31:26.550> prominent 00:31:26.990 --> 00:31:27.000 align:start position:0% atomic propositions is not a prominent 00:31:27.000 --> 00:31:29.630 align:start position:0% atomic propositions is not a prominent that<00:31:27.210> might<00:31:27.360> be<00:31:27.480> breaking<00:31:28.070> it's<00:31:29.070> possible<00:31:29.520> I'm 00:31:29.630 --> 00:31:29.640 align:start position:0% that might be breaking it's possible I'm 00:31:29.640 --> 00:31:31.910 align:start position:0% that might be breaking it's possible I'm not<00:31:29.670> a<00:31:29.820> super<00:31:30.450> super<00:31:30.930> deep<00:31:31.260> logicians<00:31:31.740> it's 00:31:31.910 --> 00:31:31.920 align:start position:0% not a super super deep logicians it's 00:31:31.920 --> 00:31:33.380 align:start position:0% not a super super deep logicians it's possible<00:31:32.310> or<00:31:32.400> that<00:31:32.430> that's<00:31:32.670> broken<00:31:33.060> but 00:31:33.380 --> 00:31:33.390 align:start position:0% possible or that that's broken but 00:31:33.390 --> 00:31:35.450 align:start position:0% possible or that that's broken but that's<00:31:33.540> how<00:31:33.630> I<00:31:33.660> think<00:31:33.810> about<00:31:33.990> it<00:31:34.160> well<00:31:35.160> the<00:31:35.190> big 00:31:35.450 --> 00:31:35.460 align:start position:0% that's how I think about it well the big 00:31:35.460 --> 00:31:37.430 align:start position:0% that's how I think about it well the big one<00:31:35.700> that's<00:31:35.820> that<00:31:36.090> that<00:31:36.540> is<00:31:36.630> makes<00:31:37.110> it<00:31:37.200> an<00:31:37.320> odd 00:31:37.430 --> 00:31:37.440 align:start position:0% one that's that that is makes it an odd 00:31:37.440 --> 00:31:39.320 align:start position:0% one that's that that is makes it an odd proposition<00:31:37.680> is<00:31:38.070> the<00:31:38.250> not<00:31:38.580> happy<00:31:38.730> for<00:31:38.880> all<00:31:39.180> it 00:31:39.320 --> 00:31:39.330 align:start position:0% proposition is the not happy for all it 00:31:39.330 --> 00:31:40.970 align:start position:0% proposition is the not happy for all it exists<00:31:39.780> right<00:31:39.960> not<00:31:40.080> having<00:31:40.110> classification 00:31:40.970 --> 00:31:40.980 align:start position:0% exists right not having classification 00:31:40.980 --> 00:31:42.560 align:start position:0% exists right not having classification that's<00:31:41.250> that's<00:31:41.520> that<00:31:41.850> ends<00:31:42.000> up<00:31:42.090> being<00:31:42.270> the<00:31:42.330> big 00:31:42.560 --> 00:31:42.570 align:start position:0% that's that's that ends up being the big 00:31:42.570 --> 00:31:45.170 align:start position:0% that's that's that ends up being the big one<00:31:42.830> yeah<00:31:43.830> great<00:31:44.220> question<00:31:44.370> great<00:31:44.700> question 00:31:45.170 --> 00:31:45.180 align:start position:0% one yeah great question great question 00:31:45.180 --> 00:31:46.820 align:start position:0% one yeah great question great question so<00:31:45.630> anything<00:31:45.870> that<00:31:46.020> arrives<00:31:46.320> at<00:31:46.470> your<00:31:46.500> Falls 00:31:46.820 --> 00:31:46.830 align:start position:0% so anything that arrives at your Falls 00:31:46.830 --> 00:31:49.130 align:start position:0% so anything that arrives at your Falls as<00:31:46.950> a<00:31:47.010> composition<00:31:47.550> an<00:31:48.150> atomic<00:31:48.630> proposition 00:31:49.130 --> 00:31:49.140 align:start position:0% as a composition an atomic proposition 00:31:49.140 --> 00:31:50.690 align:start position:0% as a composition an atomic proposition is<00:31:49.530> one<00:31:49.740> that<00:31:49.920> doesn't<00:31:50.070> have<00:31:50.250> many<00:31:50.460> of<00:31:50.580> these 00:31:50.690 --> 00:31:50.700 align:start position:0% is one that doesn't have many of these 00:31:50.700 --> 00:31:52.910 align:start position:0% is one that doesn't have many of these these<00:31:51.090> bad<00:31:51.300> boys<00:31:51.510> Americans<00:31:52.170> these<00:31:52.530> are<00:31:52.590> sort 00:31:52.910 --> 00:31:52.920 align:start position:0% these bad boys Americans these are sort 00:31:52.920 --> 00:31:54.890 align:start position:0% these bad boys Americans these are sort of<00:31:52.950> indicators<00:31:53.520> that<00:31:53.550> there's<00:31:53.850> more<00:31:54.090> logical 00:31:54.890 --> 00:31:54.900 align:start position:0% of indicators that there's more logical 00:31:54.900 --> 00:31:56.330 align:start position:0% of indicators that there's more logical structure<00:31:55.290> beyond<00:31:55.650> just<00:31:55.950> some<00:31:56.100> sort<00:31:56.280> of 00:31:56.330 --> 00:31:56.340 align:start position:0% structure beyond just some sort of 00:31:56.340 --> 00:32:05.720 align:start position:0% structure beyond just some sort of simple<00:31:56.760> function<00:31:57.180> evaluation<00:32:04.460> the<00:32:05.460> reason 00:32:05.720 --> 00:32:05.730 align:start position:0% simple function evaluation the reason 00:32:05.730 --> 00:32:07.400 align:start position:0% simple function evaluation the reason for<00:32:05.880> the<00:32:06.000> consistent<00:32:06.510> use<00:32:06.600> of<00:32:06.690> language<00:32:06.900> we're 00:32:07.400 --> 00:32:07.410 align:start position:0% for the consistent use of language we're 00:32:07.410 --> 00:32:10.400 align:start position:0% for the consistent use of language we're like<00:32:07.650> I<00:32:07.920> mean<00:32:08.520> the<00:32:08.720> atomic<00:32:09.720> propositions<00:32:10.350> like 00:32:10.400 --> 00:32:10.410 align:start position:0% like I mean the atomic propositions like 00:32:10.410 --> 00:32:12.740 align:start position:0% like I mean the atomic propositions like is<00:32:10.860> equals<00:32:11.430> who<00:32:11.550> is<00:32:11.760> has<00:32:12.030> payment<00:32:12.510> for<00:32:12.630> all 00:32:12.740 --> 00:32:12.750 align:start position:0% is equals who is has payment for all 00:32:12.750 --> 00:32:15.410 align:start position:0% is equals who is has payment for all semenya<00:32:13.320> instead<00:32:13.680> of<00:32:13.770> like<00:32:13.950> that<00:32:14.130> is<00:32:14.420> valid 00:32:15.410 --> 00:32:15.420 align:start position:0% semenya instead of like that is valid 00:32:15.420 --> 00:32:17.060 align:start position:0% semenya instead of like that is valid signature<00:32:15.930> you<00:32:16.320> have<00:32:16.440> my<00:32:16.560> very<00:32:16.740> time 00:32:17.060 --> 00:32:17.070 align:start position:0% signature you have my very time 00:32:17.070 --> 00:32:22.550 align:start position:0% signature you have my very time signature<00:32:17.460> which<00:32:17.670> stuff<00:32:18.030> but<00:32:21.050> it's<00:32:22.050> certainly 00:32:22.550 --> 00:32:22.560 align:start position:0% signature which stuff but it's certainly 00:32:22.560 --> 00:32:24.230 align:start position:0% signature which stuff but it's certainly my<00:32:22.710> accent<00:32:23.130> inside<00:32:23.550> the<00:32:23.640> Great<00:32:23.850> Hall 00:32:24.230 --> 00:32:24.240 align:start position:0% my accent inside the Great Hall 00:32:24.240 --> 00:32:26.139 align:start position:0% my accent inside the Great Hall so<00:32:24.510> I<00:32:24.540> dunno<00:32:24.930> I<00:32:25.170> should<00:32:25.350> I<00:32:25.560> should 00:32:26.139 --> 00:32:26.149 align:start position:0% so I dunno I should I should 00:32:26.149 --> 00:32:28.479 align:start position:0% so I dunno I should I should paper<00:32:26.899> to<00:32:27.289> have<00:32:27.649> more<00:32:27.859> consistency<00:32:28.279> there 00:32:28.479 --> 00:32:28.489 align:start position:0% paper to have more consistency there 00:32:28.489 --> 00:32:29.829 align:start position:0% paper to have more consistency there yeah<00:32:28.729> and<00:32:28.969> I<00:32:29.149> was<00:32:29.269> actually<00:32:29.449> the<00:32:29.629> most 00:32:29.829 --> 00:32:29.839 align:start position:0% yeah and I was actually the most 00:32:29.839 --> 00:32:31.509 align:start position:0% yeah and I was actually the most egregious<00:32:30.259> I<00:32:30.619> had<00:32:30.829> to<00:32:30.949> say<00:32:31.069> the<00:32:31.189> initially 00:32:31.509 --> 00:32:31.519 align:start position:0% egregious I had to say the initially 00:32:31.519 --> 00:32:33.219 align:start position:0% egregious I had to say the initially reported<00:32:31.789> breaches<00:32:32.119> in<00:32:32.539> consistency<00:32:32.989> than 00:32:33.219 --> 00:32:33.229 align:start position:0% reported breaches in consistency than 00:32:33.229 --> 00:32:33.549 align:start position:0% reported breaches in consistency than that 00:32:33.549 --> 00:32:33.559 align:start position:0% that 00:32:33.559 --> 00:32:34.989 align:start position:0% that which<00:32:33.829> is<00:32:33.949> that<00:32:34.039> I<00:32:34.129> shouldn't<00:32:34.489> have<00:32:34.639> in<00:32:34.909> the 00:32:34.989 --> 00:32:34.999 align:start position:0% which is that I shouldn't have in the 00:32:34.999 --> 00:32:36.849 align:start position:0% which is that I shouldn't have in the parentheses<00:32:35.419> here<00:32:35.629> and<00:32:35.959> you<00:32:36.139> know<00:32:36.229> signature 00:32:36.849 --> 00:32:36.859 align:start position:0% parentheses here and you know signature 00:32:36.859 --> 00:32:39.579 align:start position:0% parentheses here and you know signature message<00:32:37.279> punky<00:32:37.789> and<00:32:37.999> I<00:32:38.299> should<00:32:38.509> have<00:32:38.689> you<00:32:39.469> know 00:32:39.579 --> 00:32:39.589 align:start position:0% message punky and I should have you know 00:32:39.589 --> 00:32:41.349 align:start position:0% message punky and I should have you know before<00:32:39.919> inputs<00:32:40.279> to<00:32:40.399> verify<00:32:40.729> between<00:32:40.999> but 00:32:41.349 --> 00:32:41.359 align:start position:0% before inputs to verify between but 00:32:41.359 --> 00:32:43.659 align:start position:0% before inputs to verify between but absolutely<00:32:41.869> yeah<00:32:42.019> so<00:32:42.139> that<00:32:42.409> is<00:32:42.439> that<00:32:42.739> my<00:32:43.339> bad 00:32:43.659 --> 00:32:43.669 align:start position:0% absolutely yeah so that is that my bad 00:32:43.669 --> 00:32:46.539 align:start position:0% absolutely yeah so that is that my bad my<00:32:44.299> bad 00:32:46.539 --> 00:32:46.549 align:start position:0% 00:32:46.549 --> 00:32:48.159 align:start position:0% but<00:32:46.969> hopefully<00:32:47.269> hopefully<00:32:47.509> can<00:32:47.779> see<00:32:47.929> it<00:32:48.019> the 00:32:48.159 --> 00:32:48.169 align:start position:0% but hopefully hopefully can see it the 00:32:48.169 --> 00:32:52.239 align:start position:0% but hopefully hopefully can see it the point<00:32:48.319> across<00:32:48.759> yes<00:32:50.589> are<00:32:51.589> there<00:32:51.769> quantifiers 00:32:52.239 --> 00:32:52.249 align:start position:0% point across yes are there quantifiers 00:32:52.249 --> 00:32:55.929 align:start position:0% point across yes are there quantifiers you<00:32:52.549> don't<00:32:52.849> like<00:32:53.149> because<00:32:53.889> like<00:32:54.889> if<00:32:55.759> you're 00:32:55.929 --> 00:32:55.939 align:start position:0% you don't like because like if you're 00:32:55.939 --> 00:32:58.209 align:start position:0% you don't like because like if you're considering<00:32:56.269> like<00:32:56.539> atomic<00:32:57.049> binary<00:32:57.649> values 00:32:58.209 --> 00:32:58.219 align:start position:0% considering like atomic binary values 00:32:58.219 --> 00:33:02.100 align:start position:0% considering like atomic binary values those<00:32:58.879> are<00:32:58.909> like<00:32:59.209> bullets<00:32:59.689> like<00:32:59.839> built<00:33:00.139> it<00:33:00.829> is 00:33:02.100 --> 00:33:02.110 align:start position:0% those are like bullets like built it is 00:33:02.110 --> 00:33:06.850 align:start position:0% those are like bullets like built it is express<00:33:03.110> like<00:33:04.930> player<00:33:05.930> I<00:33:06.290> know<00:33:06.320> with<00:33:06.830> that 00:33:06.850 --> 00:33:06.860 align:start position:0% express like player I know with that 00:33:06.860 --> 00:33:12.619 align:start position:0% express like player I know with that there<00:33:07.430> exist<00:33:08.330> age<00:33:08.720> so<00:33:09.230> that 00:33:12.619 --> 00:33:12.629 align:start position:0% 00:33:12.629 --> 00:33:14.549 align:start position:0% and<00:33:13.629> you're<00:33:13.779> like<00:33:13.899> saying<00:33:14.080> like<00:33:14.230> knowledge 00:33:14.549 --> 00:33:14.559 align:start position:0% and you're like saying like knowledge 00:33:14.559 --> 00:33:15.720 align:start position:0% and you're like saying like knowledge you<00:33:14.679> want<00:33:14.830> to<00:33:14.889> know<00:33:15.129> the<00:33:15.279> moment<00:33:15.460> knowledge 00:33:15.720 --> 00:33:15.730 align:start position:0% you want to know the moment knowledge 00:33:15.730 --> 00:33:17.399 align:start position:0% you want to know the moment knowledge people<00:33:16.029> on<00:33:16.090> fire<00:33:16.330> yeah<00:33:16.960> is<00:33:17.110> that<00:33:17.230> what<00:33:17.320> you're 00:33:17.399 --> 00:33:17.409 align:start position:0% people on fire yeah is that what you're 00:33:17.409 --> 00:33:20.909 align:start position:0% people on fire yeah is that what you're saying<00:33:17.620> yeah<00:33:17.980> so<00:33:18.820> I<00:33:19.440> this<00:33:20.440> is<00:33:20.590> why<00:33:20.679> I<00:33:20.740> decided 00:33:20.909 --> 00:33:20.919 align:start position:0% saying yeah so I this is why I decided 00:33:20.919 --> 00:33:22.619 align:start position:0% saying yeah so I this is why I decided jam<00:33:21.370> with<00:33:21.519> you<00:33:21.610> after<00:33:21.879> this<00:33:21.970> bi<00:33:22.179> because 00:33:22.619 --> 00:33:22.629 align:start position:0% jam with you after this bi because 00:33:22.629 --> 00:33:24.180 align:start position:0% jam with you after this bi because that's<00:33:22.779> totally<00:33:23.080> a<00:33:23.110> dollar<00:33:23.289> question<00:33:23.710> so 00:33:24.180 --> 00:33:24.190 align:start position:0% that's totally a dollar question so 00:33:24.190 --> 00:33:25.499 align:start position:0% that's totally a dollar question so there's<00:33:24.370> like<00:33:24.460> you<00:33:24.700> can<00:33:24.850> think<00:33:24.970> of<00:33:25.029> two<00:33:25.210> layers 00:33:25.499 --> 00:33:25.509 align:start position:0% there's like you can think of two layers 00:33:25.509 --> 00:33:27.539 align:start position:0% there's like you can think of two layers happening<00:33:26.049> here<00:33:26.230> okay<00:33:26.470> so<00:33:27.039> the<00:33:27.159> layer<00:33:27.340> that 00:33:27.539 --> 00:33:27.549 align:start position:0% happening here okay so the layer that 00:33:27.549 --> 00:33:28.799 align:start position:0% happening here okay so the layer that we're<00:33:27.700> going<00:33:27.789> to<00:33:27.850> covered<00:33:28.149> mostly<00:33:28.480> in<00:33:28.659> all 00:33:28.799 --> 00:33:28.809 align:start position:0% we're going to covered mostly in all 00:33:28.809 --> 00:33:31.200 align:start position:0% we're going to covered mostly in all these<00:33:28.990> slides<00:33:29.320> is<00:33:29.590> the<00:33:29.740> on<00:33:30.070> shame<00:33:30.549> layer<00:33:30.850> okay 00:33:31.200 --> 00:33:31.210 align:start position:0% these slides is the on shame layer okay 00:33:31.210 --> 00:33:32.519 align:start position:0% these slides is the on shame layer okay and<00:33:31.389> there's<00:33:31.539> there's<00:33:31.840> a<00:33:31.870> relationship<00:33:32.409> to 00:33:32.519 --> 00:33:32.529 align:start position:0% and there's there's a relationship to 00:33:32.529 --> 00:33:33.960 align:start position:0% and there's there's a relationship to option<00:33:32.860> that's<00:33:33.039> not<00:33:33.250> as<00:33:33.340> well<00:33:33.490> defined<00:33:33.610> off 00:33:33.960 --> 00:33:33.970 align:start position:0% option that's not as well defined off 00:33:33.970 --> 00:33:35.850 align:start position:0% option that's not as well defined off chain<00:33:34.179> is<00:33:34.299> for<00:33:34.629> on<00:33:34.779> chain<00:33:35.049> well<00:33:35.590> we're<00:33:35.740> doing 00:33:35.850 --> 00:33:35.860 align:start position:0% chain is for on chain well we're doing 00:33:35.860 --> 00:33:37.320 align:start position:0% chain is for on chain well we're doing is<00:33:36.070> we're<00:33:36.250> just<00:33:36.279> building<00:33:36.549> the<00:33:36.759> dispute<00:33:37.120> games 00:33:37.320 --> 00:33:37.330 align:start position:0% is we're just building the dispute games 00:33:37.330 --> 00:33:39.029 align:start position:0% is we're just building the dispute games that<00:33:37.690> go<00:33:37.870> on<00:33:38.049> changes<00:33:38.409> okay<00:33:38.649> so<00:33:38.710> what<00:33:38.950> we're 00:33:39.029 --> 00:33:39.039 align:start position:0% that go on changes okay so what we're 00:33:39.039 --> 00:33:40.619 align:start position:0% that go on changes okay so what we're gonna<00:33:39.100> end<00:33:39.190> up<00:33:39.460> doing<00:33:39.669> is<00:33:40.149> going<00:33:40.299> to<00:33:40.360> try<00:33:40.570> to 00:33:40.619 --> 00:33:40.629 align:start position:0% gonna end up doing is going to try to 00:33:40.629 --> 00:33:42.600 align:start position:0% gonna end up doing is going to try to construct<00:33:40.929> a<00:33:41.139> contract<00:33:41.679> that<00:33:42.279> sort<00:33:42.580> of 00:33:42.600 --> 00:33:42.610 align:start position:0% construct a contract that sort of 00:33:42.610 --> 00:33:44.220 align:start position:0% construct a contract that sort of implements<00:33:43.179> the<00:33:43.269> ability<00:33:43.659> to<00:33:43.750> check<00:33:43.960> the 00:33:44.220 --> 00:33:44.230 align:start position:0% implements the ability to check the 00:33:44.230 --> 00:33:46.440 align:start position:0% implements the ability to check the truth<00:33:44.440> or<00:33:44.919> you<00:33:45.279> know<00:33:45.399> false<00:33:45.639> evaluation<00:33:46.299> of 00:33:46.440 --> 00:33:46.450 align:start position:0% truth or you know false evaluation of 00:33:46.450 --> 00:33:50.190 align:start position:0% truth or you know false evaluation of these<00:33:46.600> things<00:33:46.870> so<00:33:48.059> is<00:33:49.059> there<00:33:49.480> a<00:33:49.509> more<00:33:49.779> even 00:33:50.190 --> 00:33:50.200 align:start position:0% these things so is there a more even 00:33:50.200 --> 00:33:53.249 align:start position:0% these things so is there a more even less<00:33:50.379> classical<00:33:50.649> logics<00:33:51.220> than<00:33:51.309> these<00:33:51.460> ones<00:33:52.259> my 00:33:53.249 --> 00:33:53.259 align:start position:0% less classical logics than these ones my 00:33:53.259 --> 00:33:54.840 align:start position:0% less classical logics than these ones my knowledge<00:33:53.769> or<00:33:53.919> is<00:33:54.009> your<00:33:54.279> knowledge<00:33:54.700> is 00:33:54.840 --> 00:33:54.850 align:start position:0% knowledge or is your knowledge is 00:33:54.850 --> 00:33:56.399 align:start position:0% knowledge or is your knowledge is actually<00:33:55.179> ends<00:33:55.450> up<00:33:55.509> being<00:33:55.570> stuck<00:33:56.049> want<00:33:56.289> to 00:33:56.399 --> 00:33:56.409 align:start position:0% actually ends up being stuck want to 00:33:56.409 --> 00:33:58.740 align:start position:0% actually ends up being stuck want to fire<00:33:56.590> that<00:33:57.549> that's<00:33:57.759> absolutely<00:33:58.179> right<00:33:58.330> we're 00:33:58.740 --> 00:33:58.750 align:start position:0% fire that that's absolutely right we're 00:33:58.750 --> 00:33:59.549 align:start position:0% fire that that's absolutely right we're gonna<00:33:58.840> ignore<00:33:59.080> that<00:33:59.259> for<00:33:59.379> now 00:33:59.549 --> 00:33:59.559 align:start position:0% gonna ignore that for now 00:33:59.559 --> 00:34:01.350 align:start position:0% gonna ignore that for now well<00:33:59.860> we'll<00:34:00.100> treat<00:34:00.279> that<00:34:00.490> very<00:34:00.700> simply<00:34:01.059> block 00:34:01.350 --> 00:34:01.360 align:start position:0% well we'll treat that very simply block 00:34:01.360 --> 00:34:02.490 align:start position:0% well we'll treat that very simply block will<00:34:01.509> have<00:34:01.539> something<00:34:01.840> called<00:34:01.990> computability 00:34:02.490 --> 00:34:02.500 align:start position:0% will have something called computability 00:34:02.500 --> 00:34:06.240 align:start position:0% will have something called computability model<00:34:02.950> it's<00:34:03.490> not<00:34:03.820> as<00:34:04.090> well<00:34:04.330> formed<00:34:04.779> as<00:34:04.980> has<00:34:05.980> to 00:34:06.240 --> 00:34:06.250 align:start position:0% model it's not as well formed as has to 00:34:06.250 --> 00:34:07.560 align:start position:0% model it's not as well formed as has to be<00:34:06.340> like<00:34:06.669> you<00:34:06.879> know<00:34:06.970> very<00:34:07.000> very<00:34:07.299> well 00:34:07.560 --> 00:34:07.570 align:start position:0% be like you know very very well 00:34:07.570 --> 00:34:09.839 align:start position:0% be like you know very very well quantified<00:34:08.250> but<00:34:09.250> you're<00:34:09.369> absolutely<00:34:09.520> right 00:34:09.839 --> 00:34:09.849 align:start position:0% quantified but you're absolutely right 00:34:09.849 --> 00:34:11.940 align:start position:0% quantified but you're absolutely right but<00:34:10.359> for<00:34:10.510> now<00:34:10.659> for<00:34:10.960> the<00:34:11.169> intense<00:34:11.409> purposes<00:34:11.710> of 00:34:11.940 --> 00:34:11.950 align:start position:0% but for now for the intense purposes of 00:34:11.950 --> 00:34:14.129 align:start position:0% but for now for the intense purposes of this<00:34:12.089> all<00:34:13.089> we're<00:34:13.419> going<00:34:13.510> to<00:34:13.599> think<00:34:13.750> about<00:34:13.780> is 00:34:14.129 --> 00:34:14.139 align:start position:0% this all we're going to think about is 00:34:14.139 --> 00:34:16.440 align:start position:0% this all we're going to think about is for<00:34:14.379> all<00:34:14.530> and<00:34:14.560> exists<00:34:15.129> and<00:34:15.369> it<00:34:16.210> should<00:34:16.359> be 00:34:16.440 --> 00:34:16.450 align:start position:0% for all and exists and it should be 00:34:16.450 --> 00:34:17.790 align:start position:0% for all and exists and it should be noted<00:34:16.750> that<00:34:16.780> there<00:34:17.050> are<00:34:17.169> many<00:34:17.409> extensions 00:34:17.790 --> 00:34:17.800 align:start position:0% noted that there are many extensions 00:34:17.800 --> 00:34:19.169 align:start position:0% noted that there are many extensions with<00:34:18.069> semantics<00:34:18.460> I'm<00:34:18.550> going<00:34:18.669> to<00:34:18.730> come<00:34:18.879> here 00:34:19.169 --> 00:34:19.179 align:start position:0% with semantics I'm going to come here 00:34:19.179 --> 00:34:21.329 align:start position:0% with semantics I'm going to come here and<00:34:19.569> so<00:34:20.020> for<00:34:20.349> instance<00:34:20.379> the<00:34:20.740> binary<00:34:21.129> search 00:34:21.329 --> 00:34:21.339 align:start position:0% and so for instance the binary search 00:34:21.339 --> 00:34:22.710 align:start position:0% and so for instance the binary search game<00:34:21.669> which<00:34:21.909> is<00:34:22.000> the<00:34:22.060> true<00:34:22.210> that<00:34:22.329> guys<00:34:22.450> use 00:34:22.710 --> 00:34:22.720 align:start position:0% game which is the true that guys use 00:34:22.720 --> 00:34:24.990 align:start position:0% game which is the true that guys use I've<00:34:23.200> messed<00:34:24.159> around<00:34:24.310> with<00:34:24.550> right<00:34:24.849> here 00:34:24.990 --> 00:34:25.000 align:start position:0% I've messed around with right here 00:34:25.000 --> 00:34:26.669 align:start position:0% I've messed around with right here that's<00:34:25.210> and<00:34:25.450> for<00:34:25.480> all<00:34:25.750> exist<00:34:26.050> for<00:34:26.230> all<00:34:26.319> exist 00:34:26.669 --> 00:34:26.679 align:start position:0% that's and for all exist for all exist 00:34:26.679 --> 00:34:28.470 align:start position:0% that's and for all exist for all exist but<00:34:27.280> I'm<00:34:27.369> not<00:34:27.490> sure<00:34:27.700> if<00:34:27.849> it<00:34:27.970> doesn't<00:34:28.210> denote 00:34:28.470 --> 00:34:28.480 align:start position:0% but I'm not sure if it doesn't denote 00:34:28.480 --> 00:34:31.099 align:start position:0% but I'm not sure if it doesn't denote its<00:34:28.629> own<00:34:28.780> on<00:34:29.050> a<00:34:29.079> fire<00:34:29.319> or<00:34:29.649> or<00:34:30.339> we're<00:34:30.609> connected 00:34:31.099 --> 00:34:31.109 align:start position:0% its own on a fire or or we're connected 00:34:31.109 --> 00:34:34.349 align:start position:0% its own on a fire or or we're connected maybe<00:34:32.109> do<00:34:32.260> you<00:34:32.349> want<00:34:32.530> that<00:34:32.970> okay<00:34:33.970> other 00:34:34.349 --> 00:34:34.359 align:start position:0% maybe do you want that okay other 00:34:34.359 --> 00:34:37.920 align:start position:0% maybe do you want that okay other questions<00:34:34.540> before<00:34:34.839> proceed 00:34:37.920 --> 00:34:37.930 align:start position:0% 00:34:37.930 --> 00:34:42.630 align:start position:0% all<00:34:38.350> right<00:34:38.820> let's<00:34:39.820> get<00:34:40.000> to<00:34:40.060> it<00:34:40.530> so<00:34:41.550> what<00:34:42.550> we 00:34:42.630 --> 00:34:42.640 align:start position:0% all right let's get to it so what we 00:34:42.640 --> 00:34:44.190 align:start position:0% all right let's get to it so what we want<00:34:42.820> to<00:34:42.850> do<00:34:43.000> is<00:34:43.540> we<00:34:43.660> want<00:34:43.840> to<00:34:43.870> take<00:34:44.050> these 00:34:44.190 --> 00:34:44.200 align:start position:0% want to do is we want to take these 00:34:44.200 --> 00:34:46.080 align:start position:0% want to do is we want to take these expressions<00:34:44.800> right<00:34:45.010> things<00:34:45.280> of<00:34:45.490> you<00:34:45.670> know<00:34:45.760> the 00:34:46.080 --> 00:34:46.090 align:start position:0% expressions right things of you know the 00:34:46.090 --> 00:34:48.600 align:start position:0% expressions right things of you know the performance<00:34:46.420> under<00:34:47.170> there<00:34:47.530> and<00:34:48.100> we<00:34:48.220> want<00:34:48.460> to 00:34:48.600 --> 00:34:48.610 align:start position:0% performance under there and we want to 00:34:48.610 --> 00:34:51.630 align:start position:0% performance under there and we want to turn<00:34:48.850> them<00:34:49.120> into<00:34:49.450> games<00:34:50.110> okay<00:34:50.740> this<00:34:51.400> is<00:34:51.520> our 00:34:51.630 --> 00:34:51.640 align:start position:0% turn them into games okay this is our 00:34:51.640 --> 00:34:53.460 align:start position:0% turn them into games okay this is our goal<00:34:51.820> we<00:34:52.180> wanted<00:34:52.360> to<00:34:52.510> so<00:34:52.840> these<00:34:53.110> lateral 00:34:53.460 --> 00:34:53.470 align:start position:0% goal we wanted to so these lateral 00:34:53.470 --> 00:34:55.530 align:start position:0% goal we wanted to so these lateral expressions<00:34:53.920> we<00:34:54.370> want<00:34:54.550> to<00:34:54.700> evaluate<00:34:55.000> their 00:34:55.530 --> 00:34:55.540 align:start position:0% expressions we want to evaluate their 00:34:55.540 --> 00:34:57.030 align:start position:0% expressions we want to evaluate their sort<00:34:55.750> of<00:34:55.780> truthiness<00:34:56.260> whether<00:34:56.680> they're<00:34:56.890> true 00:34:57.030 --> 00:34:57.040 align:start position:0% sort of truthiness whether they're true 00:34:57.040 --> 00:35:00.270 align:start position:0% sort of truthiness whether they're true or<00:34:57.070> false<00:34:57.370> in<00:34:58.150> relation<00:34:58.690> to<00:34:58.720> some<00:34:59.080> game<00:34:59.440> okay 00:35:00.270 --> 00:35:00.280 align:start position:0% or false in relation to some game okay 00:35:00.280 --> 00:35:01.680 align:start position:0% or false in relation to some game okay and<00:35:00.490> eventually<00:35:00.850> the<00:35:00.970> goal<00:35:01.120> is<00:35:01.210> for<00:35:01.240> this<00:35:01.420> to 00:35:01.680 --> 00:35:01.690 align:start position:0% and eventually the goal is for this to 00:35:01.690 --> 00:35:03.300 align:start position:0% and eventually the goal is for this to be<00:35:01.780> a<00:35:01.810> game<00:35:02.020> played<00:35:02.290> on<00:35:02.320> chain<00:35:02.680> it's<00:35:03.130> going<00:35:03.250> to 00:35:03.300 --> 00:35:03.310 align:start position:0% be a game played on chain it's going to 00:35:03.310 --> 00:35:04.890 align:start position:0% be a game played on chain it's going to correspond<00:35:03.640> to<00:35:03.670> the<00:35:03.790> dispute<00:35:04.120> contract<00:35:04.690> or 00:35:04.890 --> 00:35:04.900 align:start position:0% correspond to the dispute contract or 00:35:04.900 --> 00:35:07.110 align:start position:0% correspond to the dispute contract or the<00:35:04.960> deposit<00:35:05.470> contract<00:35:05.700> depending<00:35:06.700> on<00:35:06.940> what 00:35:07.110 --> 00:35:07.120 align:start position:0% the deposit contract depending on what 00:35:07.120 --> 00:35:10.710 align:start position:0% the deposit contract depending on what layer<00:35:07.300> 2<00:35:07.510> protocol<00:35:08.170> developing<00:35:08.560> mask<00:35:09.720> so 00:35:10.710 --> 00:35:10.720 align:start position:0% layer 2 protocol developing mask so 00:35:10.720 --> 00:35:12.120 align:start position:0% layer 2 protocol developing mask so we're<00:35:10.840> good<00:35:11.260> for<00:35:11.380> now<00:35:11.440> we're<00:35:11.890> gonna<00:35:11.980> talk 00:35:12.120 --> 00:35:12.130 align:start position:0% we're good for now we're gonna talk 00:35:12.130 --> 00:35:15.410 align:start position:0% we're good for now we're gonna talk about<00:35:12.220> two<00:35:12.460> players<00:35:12.870> we<00:35:13.870> approve<00:35:14.200> of<00:35:14.320> key<00:35:14.500> an 00:35:15.410 --> 00:35:15.420 align:start position:0% about two players we approve of key an 00:35:15.420 --> 00:35:19.550 align:start position:0% about two players we approve of key an opponent<00:35:16.420> oh<00:35:16.600> okay<00:35:17.500> that's<00:35:17.800> not<00:35:18.010> good<00:35:18.220> and 00:35:19.550 --> 00:35:19.560 align:start position:0% opponent oh okay that's not good and 00:35:19.560 --> 00:35:22.560 align:start position:0% opponent oh okay that's not good and summons<00:35:20.560> a<00:35:20.830> and<00:35:21.280> B<00:35:21.430> capital<00:35:21.820> A<00:35:21.970> and<00:35:22.000> capital<00:35:22.240> B 00:35:22.560 --> 00:35:22.570 align:start position:0% summons a and B capital A and capital B 00:35:22.570 --> 00:35:25.140 align:start position:0% summons a and B capital A and capital B are<00:35:23.380> going<00:35:23.650> to<00:35:23.770> be<00:35:23.860> variable<00:35:24.640> as<00:35:24.700> representing 00:35:25.140 --> 00:35:25.150 align:start position:0% are going to be variable as representing 00:35:25.150 --> 00:35:26.610 align:start position:0% are going to be variable as representing either<00:35:25.270> the<00:35:25.480> prover<00:35:25.780> or<00:35:25.960> their<00:35:26.140> punt 00:35:26.610 --> 00:35:26.620 align:start position:0% either the prover or their punt 00:35:26.620 --> 00:35:28.470 align:start position:0% either the prover or their punt so<00:35:26.890> today<00:35:27.160> is<00:35:27.280> not<00:35:27.310> equal<00:35:27.700> to<00:35:27.730> B<00:35:27.790> but<00:35:28.330> they 00:35:28.470 --> 00:35:28.480 align:start position:0% so today is not equal to B but they 00:35:28.480 --> 00:35:30.000 align:start position:0% so today is not equal to B but they might<00:35:28.660> be<00:35:28.690> one<00:35:28.960> of<00:35:28.990> the<00:35:29.170> other<00:35:29.380> okay<00:35:29.830> does<00:35:29.980> that 00:35:30.000 --> 00:35:30.010 align:start position:0% might be one of the other okay does that 00:35:30.010 --> 00:35:32.100 align:start position:0% might be one of the other okay does that make<00:35:30.250> sense<00:35:30.280> so<00:35:30.520> very<00:35:31.390> often<00:35:31.660> we<00:35:31.780> want<00:35:31.930> to<00:35:31.990> talk 00:35:32.100 --> 00:35:32.110 align:start position:0% make sense so very often we want to talk 00:35:32.110 --> 00:35:33.600 align:start position:0% make sense so very often we want to talk about<00:35:32.230> a<00:35:32.350> player<00:35:32.560> generically<00:35:33.010> and<00:35:33.310> we<00:35:33.460> want 00:35:33.600 --> 00:35:33.610 align:start position:0% about a player generically and we want 00:35:33.610 --> 00:35:35.850 align:start position:0% about a player generically and we want to<00:35:33.670> talk<00:35:33.760> about<00:35:33.880> the<00:35:34.840> the<00:35:35.320> other<00:35:35.530> player 00:35:35.850 --> 00:35:35.860 align:start position:0% to talk about the the other player 00:35:35.860 --> 00:35:37.260 align:start position:0% to talk about the the other player generically<00:35:36.400> some<00:35:36.820> will<00:35:36.910> call<00:35:37.060> on<00:35:37.240> a 00:35:37.260 --> 00:35:37.270 align:start position:0% generically some will call on a 00:35:37.270 --> 00:35:39.990 align:start position:0% generically some will call on a microphone<00:35:37.660> everyone<00:35:38.560> do<00:35:38.680> with<00:35:38.770> that<00:35:39.000> great 00:35:39.990 --> 00:35:40.000 align:start position:0% microphone everyone do with that great 00:35:40.000 --> 00:35:42.300 align:start position:0% microphone everyone do with that great okay<00:35:40.540> okay<00:35:41.140> so<00:35:41.620> these<00:35:41.740> are<00:35:41.800> the<00:35:41.920> two<00:35:42.100> people 00:35:42.300 --> 00:35:42.310 align:start position:0% okay okay so these are the two people 00:35:42.310 --> 00:35:44.400 align:start position:0% okay okay so these are the two people that<00:35:42.760> are<00:35:42.820> playing<00:35:43.060> this<00:35:43.300> imaginary<00:35:43.780> game<00:35:44.110> and 00:35:44.400 --> 00:35:44.410 align:start position:0% that are playing this imaginary game and 00:35:44.410 --> 00:35:46.980 align:start position:0% that are playing this imaginary game and this<00:35:44.860> game<00:35:44.920> again<00:35:45.550> is<00:35:45.700> our<00:35:45.900> interpretation<00:35:46.900> of 00:35:46.980 --> 00:35:46.990 align:start position:0% this game again is our interpretation of 00:35:46.990 --> 00:35:48.990 align:start position:0% this game again is our interpretation of the<00:35:47.050> logic<00:35:47.440> it's<00:35:47.560> what<00:35:47.920> gives<00:35:48.220> the<00:35:48.370> semantics 00:35:48.990 --> 00:35:49.000 align:start position:0% the logic it's what gives the semantics 00:35:49.000 --> 00:35:50.700 align:start position:0% the logic it's what gives the semantics the<00:35:49.150> meaning<00:35:49.180> to<00:35:49.660> the<00:35:49.870> logic<00:35:50.200> that<00:35:50.590> we're 00:35:50.700 --> 00:35:50.710 align:start position:0% the meaning to the logic that we're 00:35:50.710 --> 00:35:52.290 align:start position:0% the meaning to the logic that we're gonna<00:35:50.830> try<00:35:50.980> to<00:35:51.010> make<00:35:51.400> him<00:35:51.610> to<00:35:51.790> player<00:35:52.120> two 00:35:52.290 --> 00:35:52.300 align:start position:0% gonna try to make him to player two 00:35:52.300 --> 00:35:55.980 align:start position:0% gonna try to make him to player two constructions<00:35:52.900> through<00:35:53.140> good<00:35:54.130> great<00:35:55.030> okay<00:35:55.720> so 00:35:55.980 --> 00:35:55.990 align:start position:0% constructions through good great okay so 00:35:55.990 --> 00:35:57.570 align:start position:0% constructions through good great okay so there's<00:35:56.680> a<00:35:56.800> game<00:35:56.980> station 00:35:57.570 --> 00:35:57.580 align:start position:0% there's a game station 00:35:57.580 --> 00:35:59.790 align:start position:0% there's a game station so<00:35:57.970> a<00:35:58.000> game<00:35:58.240> stays<00:35:58.480> a<00:35:58.660> tuple<00:35:58.990> of<00:35:59.020> two<00:35:59.260> things<00:35:59.530> a 00:35:59.790 --> 00:35:59.800 align:start position:0% so a game stays a tuple of two things a 00:35:59.800 --> 00:36:02.160 align:start position:0% so a game stays a tuple of two things a player<00:36:00.460> remember<00:36:01.030> a<00:36:01.150> but<00:36:01.630> he<00:36:01.750> says<00:36:01.960> either 00:36:02.160 --> 00:36:02.170 align:start position:0% player remember a but he says either 00:36:02.170 --> 00:36:04.440 align:start position:0% player remember a but he says either this<00:36:02.530> is<00:36:02.650> either<00:36:02.770> to<00:36:02.950> prove<00:36:03.160> the<00:36:03.340> opponent<00:36:03.700> but 00:36:04.440 --> 00:36:04.450 align:start position:0% this is either to prove the opponent but 00:36:04.450 --> 00:36:05.760 align:start position:0% this is either to prove the opponent but we<00:36:04.570> don't<00:36:04.720> we<00:36:04.870> don't<00:36:04.960> care<00:36:05.170> about<00:36:05.200> this<00:36:05.500> you<00:36:05.590> at 00:36:05.760 --> 00:36:05.770 align:start position:0% we don't we don't care about this you at 00:36:05.770 --> 00:36:07.980 align:start position:0% we don't we don't care about this you at this<00:36:05.860> point<00:36:06.100> we<00:36:06.910> know<00:36:07.090> this<00:36:07.210> the<00:36:07.360> defending 00:36:07.980 --> 00:36:07.990 align:start position:0% this point we know this the defending 00:36:07.990 --> 00:36:09.120 align:start position:0% this point we know this the defending player<00:36:08.020> okay 00:36:09.120 --> 00:36:09.130 align:start position:0% player okay 00:36:09.130 --> 00:36:11.220 align:start position:0% player okay now<00:36:09.580> the<00:36:09.640> only<00:36:09.850> thing<00:36:10.030> here<00:36:10.240> is<00:36:10.330> the<00:36:10.510> current 00:36:11.220 --> 00:36:11.230 align:start position:0% now the only thing here is the current 00:36:11.230 --> 00:36:12.750 align:start position:0% now the only thing here is the current proposition<00:36:11.920> you<00:36:12.070> can<00:36:12.190> also<00:36:12.310> think<00:36:12.550> of<00:36:12.610> it<00:36:12.700> as 00:36:12.750 --> 00:36:12.760 align:start position:0% proposition you can also think of it as 00:36:12.760 --> 00:36:15.000 align:start position:0% proposition you can also think of it as the<00:36:13.090> prophecies<00:36:13.780> should<00:36:13.930> be<00:36:14.080> defended<00:36:14.770> by<00:36:14.800> the 00:36:15.000 --> 00:36:15.010 align:start position:0% the prophecies should be defended by the 00:36:15.010 --> 00:36:17.880 align:start position:0% the prophecies should be defended by the defending<00:36:15.610> player<00:36:15.640> okay<00:36:16.570> so<00:36:17.200> this<00:36:17.320> is<00:36:17.440> a<00:36:17.530> state 00:36:17.880 --> 00:36:17.890 align:start position:0% defending player okay so this is a state 00:36:17.890 --> 00:36:19.500 align:start position:0% defending player okay so this is a state of<00:36:18.130> the<00:36:18.310> game<00:36:18.490> okay<00:36:18.910> so<00:36:18.970> the<00:36:19.270> game<00:36:19.450> is 00:36:19.500 --> 00:36:19.510 align:start position:0% of the game okay so the game is 00:36:19.510 --> 00:36:20.250 align:start position:0% of the game okay so the game is currently 00:36:20.250 --> 00:36:20.260 align:start position:0% currently 00:36:20.260 --> 00:36:22.710 align:start position:0% currently in<00:36:20.350> some<00:36:20.590> position<00:36:21.180> there's<00:36:22.180> there's<00:36:22.600> going 00:36:22.710 --> 00:36:22.720 align:start position:0% in some position there's there's going 00:36:22.720 --> 00:36:24.780 align:start position:0% in some position there's there's going to<00:36:22.780> be<00:36:22.840> a<00:36:22.930> defending<00:36:23.410> player<00:36:23.440> specify<00:36:24.160> and<00:36:24.520> in 00:36:24.780 --> 00:36:24.790 align:start position:0% to be a defending player specify and in 00:36:24.790 --> 00:36:27.420 align:start position:0% to be a defending player specify and in current<00:36:25.060> position<00:36:25.630> specify<00:36:26.170> right<00:36:26.710> time<00:36:27.280> to 00:36:27.420 --> 00:36:27.430 align:start position:0% current position specify right time to 00:36:27.430 --> 00:36:29.000 align:start position:0% current position specify right time to just<00:36:27.790> I'm<00:36:27.910> good<00:36:28.060> they're<00:36:28.150> wrong 00:36:29.000 --> 00:36:29.010 align:start position:0% just I'm good they're wrong 00:36:29.010 --> 00:36:31.830 align:start position:0% just I'm good they're wrong and<00:36:30.010> what<00:36:30.130> did<00:36:30.250> I<00:36:30.340> say<00:36:30.490> here<00:36:30.820> okay<00:36:31.570> absolutely 00:36:31.830 --> 00:36:31.840 align:start position:0% and what did I say here okay absolutely 00:36:31.840 --> 00:36:33.780 align:start position:0% and what did I say here okay absolutely say<00:36:32.440> that<00:36:32.650> somewhere<00:36:33.010> is<00:36:33.130> okay<00:36:33.400> to<00:36:33.460> the<00:36:33.580> people 00:36:33.780 --> 00:36:33.790 align:start position:0% say that somewhere is okay to the people 00:36:33.790 --> 00:36:35.520 align:start position:0% say that somewhere is okay to the people that<00:36:33.880> that<00:36:34.030> can't<00:36:34.270> be 00:36:35.520 --> 00:36:35.530 align:start position:0% that that can't be 00:36:35.530 --> 00:36:37.560 align:start position:0% that that can't be oh<00:36:35.560> yeah<00:36:36.280> so<00:36:36.670> if<00:36:36.730> you<00:36:36.790> would<00:36:36.970> speak<00:36:37.060> we<00:36:37.330> might 00:36:37.560 --> 00:36:37.570 align:start position:0% oh yeah so if you would speak we might 00:36:37.570 --> 00:36:39.600 align:start position:0% oh yeah so if you would speak we might say<00:36:37.720> that<00:36:37.750> this<00:36:37.930> games<00:36:38.140> a<00:36:38.290> just<00:36:38.470> a<00:36:38.710> sign<00:36:39.280> that<00:36:39.310> I 00:36:39.600 --> 00:36:39.610 align:start position:0% say that this games a just a sign that I 00:36:39.610 --> 00:36:41.040 align:start position:0% say that this games a just a sign that I love<00:36:39.850> this<00:36:39.940> this<00:36:40.330> is<00:36:40.390> something<00:36:40.660> that<00:36:40.690> I<00:36:40.810> found 00:36:41.040 --> 00:36:41.050 align:start position:0% love this this is something that I found 00:36:41.050 --> 00:36:43.140 align:start position:0% love this this is something that I found in<00:36:41.260> a<00:36:41.290> lot<00:36:41.470> of<00:36:41.560> game<00:36:41.740> semantics<00:36:42.250> and<00:36:42.400> logic<00:36:42.730> so 00:36:43.140 --> 00:36:43.150 align:start position:0% in a lot of game semantics and logic so 00:36:43.150 --> 00:36:44.910 align:start position:0% in a lot of game semantics and logic so an<00:36:43.360> eighty<00:36:43.600> science<00:36:44.050> state<00:36:44.320> is<00:36:44.530> one<00:36:44.710> in<00:36:44.830> which 00:36:44.910 --> 00:36:44.920 align:start position:0% an eighty science state is one in which 00:36:44.920 --> 00:36:47.910 align:start position:0% an eighty science state is one in which a<00:36:45.160> is<00:36:45.400> the<00:36:45.550> defending<00:36:46.000> player<00:36:46.410> just<00:36:47.410> just<00:36:47.830> an 00:36:47.910 --> 00:36:47.920 align:start position:0% a is the defending player just just an 00:36:47.920 --> 00:36:50.580 align:start position:0% a is the defending player just just an additional<00:36:48.820> that<00:36:49.120> I<00:36:49.150> may<00:36:49.390> or<00:36:49.420> may<00:36:49.660> not<00:36:49.690> slip<00:36:50.500> up 00:36:50.580 --> 00:36:50.590 align:start position:0% additional that I may or may not slip up 00:36:50.590 --> 00:36:51.840 align:start position:0% additional that I may or may not slip up and<00:36:50.860> use<00:36:51.100> through<00:36:51.520> the<00:36:51.550> wrestlers 00:36:51.840 --> 00:36:51.850 align:start position:0% and use through the wrestlers 00:36:51.850 --> 00:36:53.340 align:start position:0% and use through the wrestlers presentation<00:36:52.420> okay<00:36:52.840> that<00:36:53.140> makes<00:36:53.290> sense 00:36:53.340 --> 00:36:53.350 align:start position:0% presentation okay that makes sense 00:36:53.350 --> 00:36:56.190 align:start position:0% presentation okay that makes sense everyone<00:36:53.800> right<00:36:54.160> pretty<00:36:54.580> playful<00:36:55.140> okay<00:36:56.140> so 00:36:56.190 --> 00:36:56.200 align:start position:0% everyone right pretty playful okay so 00:36:56.200 --> 00:36:57.510 align:start position:0% everyone right pretty playful okay so the<00:36:56.350> next<00:36:56.440> thing<00:36:56.560> we<00:36:56.740> gotta<00:36:56.920> find<00:36:57.160> now<00:36:57.340> that<00:36:57.370> we 00:36:57.510 --> 00:36:57.520 align:start position:0% the next thing we gotta find now that we 00:36:57.520 --> 00:36:59.640 align:start position:0% the next thing we gotta find now that we know<00:36:57.610> with<00:36:57.730> the<00:36:57.790> state<00:36:58.000> of<00:36:58.120> a<00:36:58.150> game<00:36:58.330> can<00:36:58.630> be<00:36:58.870> we 00:36:59.640 --> 00:36:59.650 align:start position:0% know with the state of a game can be we 00:36:59.650 --> 00:37:00.720 align:start position:0% know with the state of a game can be we want<00:36:59.830> to<00:36:59.890> talk<00:36:59.950> about<00:37:00.010> how<00:37:00.250> the<00:37:00.310> state<00:37:00.550> of<00:37:00.580> a 00:37:00.720 --> 00:37:00.730 align:start position:0% want to talk about how the state of a 00:37:00.730 --> 00:37:02.700 align:start position:0% want to talk about how the state of a game<00:37:00.880> can<00:37:01.090> progress<00:37:01.270> right<00:37:02.020> how<00:37:02.230> does<00:37:02.290> it<00:37:02.530> move 00:37:02.700 --> 00:37:02.710 align:start position:0% game can progress right how does it move 00:37:02.710 --> 00:37:05.180 align:start position:0% game can progress right how does it move through<00:37:03.130> the<00:37:03.340> iterations<00:37:03.880> okay 00:37:05.180 --> 00:37:05.190 align:start position:0% through the iterations okay 00:37:05.190 --> 00:37:06.950 align:start position:0% through the iterations okay the<00:37:06.190> way<00:37:06.280> that<00:37:06.400> we're<00:37:06.520> gonna<00:37:06.580> do<00:37:06.760> it 00:37:06.950 --> 00:37:06.960 align:start position:0% the way that we're gonna do it 00:37:06.960 --> 00:37:09.930 align:start position:0% the way that we're gonna do it turn-based<00:37:07.960> sequence<00:37:08.590> of<00:37:08.770> challenges<00:37:09.340> okay 00:37:09.930 --> 00:37:09.940 align:start position:0% turn-based sequence of challenges okay 00:37:09.940 --> 00:37:12.390 align:start position:0% turn-based sequence of challenges okay so<00:37:10.630> this<00:37:10.840> is<00:37:10.930> gonna<00:37:11.020> be<00:37:11.170> one<00:37:11.320> game<00:37:11.560> state<00:37:11.830> okay 00:37:12.390 --> 00:37:12.400 align:start position:0% so this is gonna be one game state okay 00:37:12.400 --> 00:37:13.800 align:start position:0% so this is gonna be one game state okay and<00:37:12.520> then<00:37:12.610> something's<00:37:12.910> gonna<00:37:13.000> happen<00:37:13.240> this 00:37:13.800 --> 00:37:13.810 align:start position:0% and then something's gonna happen this 00:37:13.810 --> 00:37:15.600 align:start position:0% and then something's gonna happen this is<00:37:13.870> to<00:37:14.050> be<00:37:14.140> the<00:37:14.170> new<00:37:14.440> game<00:37:14.680> stand<00:37:15.040> okay<00:37:15.280> and 00:37:15.600 --> 00:37:15.610 align:start position:0% is to be the new game stand okay and 00:37:15.610 --> 00:37:17.100 align:start position:0% is to be the new game stand okay and Sonny's<00:37:15.880> gonna<00:37:15.940> happen<00:37:16.360> this<00:37:16.720> is<00:37:16.780> gonna<00:37:16.990> be 00:37:17.100 --> 00:37:17.110 align:start position:0% Sonny's gonna happen this is gonna be 00:37:17.110 --> 00:37:20.400 align:start position:0% Sonny's gonna happen this is gonna be the<00:37:17.230> next<00:37:17.680> game<00:37:17.980> state<00:37:18.400> okay<00:37:19.200> okay<00:37:20.200> that's 00:37:20.400 --> 00:37:20.410 align:start position:0% the next game state okay okay that's 00:37:20.410 --> 00:37:22.380 align:start position:0% the next game state okay okay that's unreasonable<00:37:20.830> everyone<00:37:21.310> makes<00:37:21.580> us<00:37:21.760> right<00:37:22.240> and 00:37:22.380 --> 00:37:22.390 align:start position:0% unreasonable everyone makes us right and 00:37:22.390 --> 00:37:23.430 align:start position:0% unreasonable everyone makes us right and know<00:37:22.480> that<00:37:22.630> these<00:37:22.750> are<00:37:22.900> different 00:37:23.430 --> 00:37:23.440 align:start position:0% know that these are different 00:37:23.440 --> 00:37:25.080 align:start position:0% know that these are different propositions<00:37:24.040> okay<00:37:24.340> so<00:37:24.400> the<00:37:24.610> I<00:37:24.640> believe<00:37:24.910> this 00:37:25.080 --> 00:37:25.090 align:start position:0% propositions okay so the I believe this 00:37:25.090 --> 00:37:28.050 align:start position:0% propositions okay so the I believe this is<00:37:25.240> p0<00:37:25.420> p1<00:37:26.110> and<00:37:26.530> p2<00:37:26.680> right<00:37:27.280> these<00:37:27.730> are<00:37:27.760> gonna<00:37:27.970> be 00:37:28.050 --> 00:37:28.060 align:start position:0% is p0 p1 and p2 right these are gonna be 00:37:28.060 --> 00:37:32.250 align:start position:0% is p0 p1 and p2 right these are gonna be different<00:37:29.250> expressions<00:37:30.900> make<00:37:31.900> sense<00:37:32.080> all 00:37:32.250 --> 00:37:32.260 align:start position:0% different expressions make sense all 00:37:32.260 --> 00:37:32.400 align:start position:0% different expressions make sense all right 00:37:32.400 --> 00:37:32.410 align:start position:0% right 00:37:32.410 --> 00:37:34.140 align:start position:0% right I<00:37:32.560> always<00:37:32.710> like<00:37:32.950> we're<00:37:33.160> between<00:37:33.280> B<00:37:33.640> what's 00:37:34.140 --> 00:37:34.150 align:start position:0% I always like we're between B what's 00:37:34.150 --> 00:37:35.580 align:start position:0% I always like we're between B what's that<00:37:34.270> always<00:37:34.570> back<00:37:34.720> and<00:37:34.750> forth<00:37:34.930> units<00:37:35.380> always 00:37:35.580 --> 00:37:35.590 align:start position:0% that always back and forth units always 00:37:35.590 --> 00:37:37.500 align:start position:0% that always back and forth units always but<00:37:35.860> always<00:37:36.010> turn<00:37:36.340> this<00:37:36.520> yeah<00:37:36.850> always<00:37:37.300> turn 00:37:37.500 --> 00:37:37.510 align:start position:0% but always turn this yeah always turn 00:37:37.510 --> 00:37:41.340 align:start position:0% but always turn this yeah always turn this<00:37:37.690> and<00:37:39.690> one<00:37:40.690> thing<00:37:40.840> that's<00:37:40.930> important<00:37:41.320> to 00:37:41.340 --> 00:37:41.350 align:start position:0% this and one thing that's important to 00:37:41.350 --> 00:37:44.100 align:start position:0% this and one thing that's important to illustrate<00:37:41.680> here<00:37:41.860> is<00:37:42.160> that<00:37:42.340> the<00:37:43.120> semantics 00:37:44.100 --> 00:37:44.110 align:start position:0% illustrate here is that the semantics 00:37:44.110 --> 00:37:45.630 align:start position:0% illustrate here is that the semantics and<00:37:44.200> I'm<00:37:44.290> going<00:37:44.410> to<00:37:44.560> find<00:37:44.710> I<00:37:44.950> know<00:37:45.280> Sebastian 00:37:45.630 --> 00:37:45.640 align:start position:0% and I'm going to find I know Sebastian 00:37:45.640 --> 00:37:47.130 align:start position:0% and I'm going to find I know Sebastian depending<00:37:46.090> on<00:37:46.180> me<00:37:46.360> immediately<00:37:46.720> after<00:37:46.870> this 00:37:47.130 --> 00:37:47.140 align:start position:0% depending on me immediately after this 00:37:47.140 --> 00:37:48.750 align:start position:0% depending on me immediately after this for<00:37:47.350> saying<00:37:47.680> a<00:37:47.770> bunch<00:37:47.890> of<00:37:48.040> things<00:37:48.250> that<00:37:48.400> don't 00:37:48.750 --> 00:37:48.760 align:start position:0% for saying a bunch of things that don't 00:37:48.760 --> 00:37:50.760 align:start position:0% for saying a bunch of things that don't reflect<00:37:48.880> some<00:37:49.240> of<00:37:49.330> the<00:37:49.420> nuances<00:37:49.990> of<00:37:50.260> things 00:37:50.760 --> 00:37:50.770 align:start position:0% reflect some of the nuances of things 00:37:50.770 --> 00:37:52.450 align:start position:0% reflect some of the nuances of things like<00:37:50.950> haqeeqat<00:37:51.490> strategies 00:37:52.450 --> 00:37:52.460 align:start position:0% like haqeeqat strategies 00:37:52.460 --> 00:37:54.310 align:start position:0% like haqeeqat strategies love<00:37:52.790> you<00:37:53.210> strange<00:37:53.600> things<00:37:53.960> in<00:37:54.140> very 00:37:54.310 --> 00:37:54.320 align:start position:0% love you strange things in very 00:37:54.320 --> 00:37:56.080 align:start position:0% love you strange things in very developing<00:37:54.770> semantics<00:37:55.250> but<00:37:55.730> this<00:37:55.850> is<00:37:55.970> these 00:37:56.080 --> 00:37:56.090 align:start position:0% developing semantics but this is these 00:37:56.090 --> 00:37:58.960 align:start position:0% developing semantics but this is these officials<00:37:56.420> provided<00:37:56.810> a<00:37:57.790> this<00:37:58.790> will<00:37:58.910> be 00:37:58.960 --> 00:37:58.970 align:start position:0% officials provided a this will be 00:37:58.970 --> 00:38:00.520 align:start position:0% officials provided a this will be sufficient<00:37:59.390> to<00:37:59.420> provide<00:37:59.900> me<00:38:00.020> some<00:38:00.050> intuition 00:38:00.520 --> 00:38:00.530 align:start position:0% sufficient to provide me some intuition 00:38:00.530 --> 00:38:02.560 align:start position:0% sufficient to provide me some intuition for<00:38:00.830> why<00:38:01.040> this<00:38:01.100> is<00:38:01.310> possible<00:38:01.730> and<00:38:01.910> what<00:38:02.420> the 00:38:02.560 --> 00:38:02.570 align:start position:0% for why this is possible and what the 00:38:02.570 --> 00:38:03.730 align:start position:0% for why this is possible and what the contract<00:38:02.990> that<00:38:03.110> we<00:38:03.200> want<00:38:03.380> to<00:38:03.410> know<00:38:03.470> what<00:38:03.650> you 00:38:03.730 --> 00:38:03.740 align:start position:0% contract that we want to know what you 00:38:03.740 --> 00:38:04.260 align:start position:0% contract that we want to know what you look<00:38:03.890> like 00:38:04.260 --> 00:38:04.270 align:start position:0% look like 00:38:04.270 --> 00:38:06.310 align:start position:0% look like alright<00:38:05.270> so<00:38:05.420> for<00:38:05.510> our<00:38:05.630> purposes<00:38:05.810> for<00:38:06.200> the 00:38:06.310 --> 00:38:06.320 align:start position:0% alright so for our purposes for the 00:38:06.320 --> 00:38:08.170 align:start position:0% alright so for our purposes for the through<00:38:06.470> the<00:38:06.560> purposes<00:38:06.950> a<00:38:07.190> says<00:38:07.820> something 00:38:08.170 --> 00:38:08.180 align:start position:0% through the purposes a says something 00:38:08.180 --> 00:38:10.270 align:start position:0% through the purposes a says something these<00:38:08.300> days<00:38:08.360> now<00:38:08.720> something<00:38:09.410> else<00:38:09.500> is<00:38:09.890> not 00:38:10.270 --> 00:38:10.280 align:start position:0% these days now something else is not 00:38:10.280 --> 00:38:13.290 align:start position:0% these days now something else is not something<00:38:11.180> else<00:38:11.300> something<00:38:11.630> else<00:38:11.870> and<00:38:12.140> so<00:38:12.530> on 00:38:13.290 --> 00:38:13.300 align:start position:0% something else something else and so on 00:38:13.300 --> 00:38:16.540 align:start position:0% something else something else and so on yeah<00:38:14.650> does<00:38:15.650> that<00:38:15.740> make<00:38:15.860> sense 00:38:16.540 --> 00:38:16.550 align:start position:0% yeah does that make sense 00:38:16.550 --> 00:38:19.900 align:start position:0% yeah does that make sense okay<00:38:17.540> now<00:38:18.080> we<00:38:18.140> get<00:38:18.470> the<00:38:18.590> real<00:38:18.860> meat<00:38:19.370> and<00:38:19.610> bones 00:38:19.900 --> 00:38:19.910 align:start position:0% okay now we get the real meat and bones 00:38:19.910 --> 00:38:22.660 align:start position:0% okay now we get the real meat and bones okay<00:38:20.360> this<00:38:20.540> is<00:38:20.690> like<00:38:20.870> the<00:38:21.080> bee's<00:38:21.830> knees<00:38:21.860> up 00:38:22.660 --> 00:38:22.670 align:start position:0% okay this is like the bee's knees up 00:38:22.670 --> 00:38:24.430 align:start position:0% okay this is like the bee's knees up over<00:38:22.880> to<00:38:22.970> talk<00:38:23.150> about<00:38:23.240> here<00:38:23.480> let's<00:38:23.990> define<00:38:24.260> the 00:38:24.430 --> 00:38:24.440 align:start position:0% over to talk about here let's define the 00:38:24.440 --> 00:38:28.210 align:start position:0% over to talk about here let's define the rules<00:38:24.680> from<00:38:25.460> which<00:38:25.550> a<00:38:25.880> p0<00:38:26.510> goes<00:38:26.870> to<00:38:27.080> V<00:38:27.200> V<00:38:27.320> P<00:38:27.530> 1<00:38:27.770> ok 00:38:28.210 --> 00:38:28.220 align:start position:0% rules from which a p0 goes to V V P 1 ok 00:38:28.220 --> 00:38:31.800 align:start position:0% rules from which a p0 goes to V V P 1 ok so<00:38:28.760> here<00:38:28.910> are<00:38:28.940> the<00:38:29.030> rules<00:38:29.530> rule<00:38:30.530> number<00:38:30.560> one 00:38:31.800 --> 00:38:31.810 align:start position:0% so here are the rules rule number one 00:38:31.810 --> 00:38:34.180 align:start position:0% so here are the rules rule number one okay<00:38:32.810> well<00:38:33.200> first<00:38:33.560> of<00:38:33.650> all<00:38:33.770> just<00:38:33.920> talk<00:38:34.100> about 00:38:34.180 --> 00:38:34.190 align:start position:0% okay well first of all just talk about 00:38:34.190 --> 00:38:36.100 align:start position:0% okay well first of all just talk about how<00:38:34.370> this<00:38:34.520> table<00:38:34.820> is<00:38:34.940> ok<00:38:35.300> so<00:38:35.390> this<00:38:35.690> is<00:38:35.840> a<00:38:35.870> game 00:38:36.100 --> 00:38:36.110 align:start position:0% how this table is ok so this is a game 00:38:36.110 --> 00:38:39.220 align:start position:0% how this table is ok so this is a game state<00:38:36.410> and<00:38:36.650> now<00:38:37.550> the<00:38:37.610> opponents<00:38:38.210> will<00:38:38.330> be<00:38:38.360> here 00:38:39.220 --> 00:38:39.230 align:start position:0% state and now the opponents will be here 00:38:39.230 --> 00:38:40.810 align:start position:0% state and now the opponents will be here might<00:38:39.590> might<00:38:39.890> or<00:38:40.100> might<00:38:40.220> not<00:38:40.280> have<00:38:40.580> to<00:38:40.670> make<00:38:40.790> a 00:38:40.810 --> 00:38:40.820 align:start position:0% might might or might not have to make a 00:38:40.820 --> 00:38:42.640 align:start position:0% might might or might not have to make a choice<00:38:41.090> might<00:38:41.570> have<00:38:41.720> to<00:38:41.840> make<00:38:41.960> some<00:38:42.020> provide 00:38:42.640 --> 00:38:42.650 align:start position:0% choice might have to make some provide 00:38:42.650 --> 00:38:44.500 align:start position:0% choice might have to make some provide some<00:38:42.860> input<00:38:43.040> okay<00:38:43.520> in<00:38:43.850> this<00:38:43.970> case<00:38:44.150> they<00:38:44.330> don't 00:38:44.500 --> 00:38:44.510 align:start position:0% some input okay in this case they don't 00:38:44.510 --> 00:38:46.450 align:start position:0% some input okay in this case they don't and<00:38:45.200> this<00:38:45.380> is<00:38:45.500> gonna<00:38:45.620> be<00:38:45.710> our<00:38:45.770> new<00:38:46.010> resulting 00:38:46.450 --> 00:38:46.460 align:start position:0% and this is gonna be our new resulting 00:38:46.460 --> 00:38:48.580 align:start position:0% and this is gonna be our new resulting state<00:38:46.700> ok<00:38:46.970> so<00:38:47.030> this<00:38:47.660> is<00:38:47.840> our<00:38:47.990> this<00:38:48.290> is<00:38:48.350> our 00:38:48.580 --> 00:38:48.590 align:start position:0% state ok so this is our this is our 00:38:48.590 --> 00:38:51.130 align:start position:0% state ok so this is our this is our thing<00:38:49.130> if<00:38:49.490> you<00:38:49.610> love<00:38:49.850> to<00:38:49.970> pair<00:38:50.180> up<00:38:50.390> everything 00:38:51.130 --> 00:38:51.140 align:start position:0% thing if you love to pair up everything 00:38:51.140 --> 00:38:52.630 align:start position:0% thing if you love to pair up everything to<00:38:51.230> the<00:38:51.350> right<00:38:51.380> of<00:38:51.560> zero<00:38:51.890> and<00:38:52.220> so<00:38:52.400> we<00:38:52.490> call 00:38:52.630 --> 00:38:52.640 align:start position:0% to the right of zero and so we call 00:38:52.640 --> 00:38:54.340 align:start position:0% to the right of zero and so we call these<00:38:52.760> challenge<00:38:53.510> rules<00:38:53.750> this<00:38:54.020> is<00:38:54.170> how<00:38:54.290> the 00:38:54.340 --> 00:38:54.350 align:start position:0% these challenge rules this is how the 00:38:54.350 --> 00:38:56.410 align:start position:0% these challenge rules this is how the games<00:38:54.650> no<00:38:54.950> progress<00:38:55.130> in<00:38:55.670> the<00:38:55.730> steps<00:38:56.000> make 00:38:56.410 --> 00:38:56.420 align:start position:0% games no progress in the steps make 00:38:56.420 --> 00:38:58.990 align:start position:0% games no progress in the steps make sense<00:38:56.660> okay<00:38:57.530> so<00:38:57.590> it's<00:38:57.770> first<00:38:57.980> shondrel<00:38:58.460> it's 00:38:58.990 --> 00:38:59.000 align:start position:0% sense okay so it's first shondrel it's 00:38:59.000 --> 00:38:59.830 align:start position:0% sense okay so it's first shondrel it's very<00:38:59.240> very<00:38:59.450> simple 00:38:59.830 --> 00:38:59.840 align:start position:0% very very simple 00:38:59.840 --> 00:39:02.710 align:start position:0% very very simple this<00:39:00.530> a<00:39:00.830> is<00:39:01.190> defending<00:39:01.760> a<00:39:01.910> statement<00:39:02.390> of<00:39:02.630> the 00:39:02.710 --> 00:39:02.720 align:start position:0% this a is defending a statement of the 00:39:02.720 --> 00:39:07.450 align:start position:0% this a is defending a statement of the form<00:39:02.900> of<00:39:03.080> not<00:39:03.290> P<00:39:04.540> then<00:39:05.540> B<00:39:05.870> may<00:39:06.620> challenge<00:39:06.920> by 00:39:07.450 --> 00:39:07.460 align:start position:0% form of not P then B may challenge by 00:39:07.460 --> 00:39:10.780 align:start position:0% form of not P then B may challenge by claiming<00:39:07.940> P<00:39:08.710> okay<00:39:09.710> makes<00:39:10.040> a<00:39:10.100> lot<00:39:10.220> of<00:39:10.250> sense<00:39:10.520> I 00:39:10.780 --> 00:39:10.790 align:start position:0% claiming P okay makes a lot of sense I 00:39:10.790 --> 00:39:15.070 align:start position:0% claiming P okay makes a lot of sense I say<00:39:11.450> that<00:39:11.990> you<00:39:12.560> know<00:39:12.910> the<00:39:13.910> the<00:39:14.630> sky<00:39:14.810> is<00:39:14.870> not 00:39:15.070 --> 00:39:15.080 align:start position:0% say that you know the the sky is not 00:39:15.080 --> 00:39:17.530 align:start position:0% say that you know the the sky is not blue<00:39:15.140> and<00:39:15.590> my<00:39:16.280> opponent<00:39:16.730> responds<00:39:17.150> with<00:39:17.300> well 00:39:17.530 --> 00:39:17.540 align:start position:0% blue and my opponent responds with well 00:39:17.540 --> 00:39:19.390 align:start position:0% blue and my opponent responds with well in<00:39:17.810> this<00:39:17.990> kind<00:39:18.200> of<00:39:18.290> blue<00:39:18.530> okay 00:39:19.390 --> 00:39:19.400 align:start position:0% in this kind of blue okay 00:39:19.400 --> 00:39:21.610 align:start position:0% in this kind of blue okay makes<00:39:19.790> sense 00:39:21.610 --> 00:39:21.620 align:start position:0% makes sense 00:39:21.620 --> 00:39:24.100 align:start position:0% makes sense make<00:39:22.190> more<00:39:22.400> sense<00:39:22.610> than<00:39:22.790> they<00:39:23.030> say<00:39:23.300> it's<00:39:23.480> B&V 00:39:24.100 --> 00:39:24.110 align:start position:0% make more sense than they say it's B&V 00:39:24.110 --> 00:39:26.020 align:start position:0% make more sense than they say it's B&V said<00:39:24.350> it's<00:39:24.470> not<00:39:24.620> because<00:39:25.070> I<00:39:25.190> say<00:39:25.430> I<00:39:25.730> have<00:39:26.000> a 00:39:26.020 --> 00:39:26.030 align:start position:0% said it's not because I say I have a 00:39:26.030 --> 00:39:28.060 align:start position:0% said it's not because I say I have a balance<00:39:26.420> of<00:39:26.480> 50<00:39:26.630> in<00:39:26.930> peace<00:39:27.140> if<00:39:27.320> no<00:39:27.440> he<00:39:27.530> doesn't 00:39:28.060 --> 00:39:28.070 align:start position:0% balance of 50 in peace if no he doesn't 00:39:28.070 --> 00:39:31.810 align:start position:0% balance of 50 in peace if no he doesn't great<00:39:28.640> question<00:39:28.970> so<00:39:30.220> the<00:39:31.220> reason<00:39:31.640> that<00:39:31.670> we 00:39:31.810 --> 00:39:31.820 align:start position:0% great question so the reason that we 00:39:31.820 --> 00:39:34.180 align:start position:0% great question so the reason that we want<00:39:32.030> to<00:39:32.090> avoid<00:39:32.390> that<00:39:32.660> is<00:39:33.620> because<00:39:33.980> what<00:39:34.160> we 00:39:34.180 --> 00:39:34.190 align:start position:0% want to avoid that is because what we 00:39:34.190 --> 00:39:36.400 align:start position:0% want to avoid that is because what we want<00:39:34.490> to<00:39:34.640> do<00:39:34.790> is<00:39:34.970> we<00:39:35.180> want<00:39:35.390> to<00:39:35.480> slowly<00:39:35.750> take 00:39:36.400 --> 00:39:36.410 align:start position:0% want to do is we want to slowly take 00:39:36.410 --> 00:39:38.050 align:start position:0% want to do is we want to slowly take these<00:39:36.590> very<00:39:36.710> complex<00:39:37.160> expressions<00:39:37.880> and 00:39:38.050 --> 00:39:38.060 align:start position:0% these very complex expressions and 00:39:38.060 --> 00:39:42.280 align:start position:0% these very complex expressions and reduce<00:39:38.780> them<00:39:39.050> down<00:39:39.080> so<00:39:40.040> for<00:39:40.190> example<00:39:40.610> if<00:39:41.240> a<00:39:42.050> kid 00:39:42.280 --> 00:39:42.290 align:start position:0% reduce them down so for example if a kid 00:39:42.290 --> 00:39:44.830 align:start position:0% reduce them down so for example if a kid say<00:39:42.440> P<00:39:42.680> and<00:39:42.860> then<00:39:43.070> you<00:39:43.100> could<00:39:43.400> say<00:39:43.520> not<00:39:43.850> P<00:39:44.060> then 00:39:44.830 --> 00:39:44.840 align:start position:0% say P and then you could say not P then 00:39:44.840 --> 00:39:46.630 align:start position:0% say P and then you could say not P then n<00:39:45.050> could<00:39:45.200> say<00:39:45.320> Takaaki<00:39:45.890> and<00:39:46.100> then<00:39:46.340> you<00:39:46.490> could 00:39:46.630 --> 00:39:46.640 align:start position:0% n could say Takaaki and then you could 00:39:46.640 --> 00:39:48.370 align:start position:0% n could say Takaaki and then you could say<00:39:46.730> not<00:39:46.910> not<00:39:47.090> not<00:39:47.270> T<00:39:47.480> and<00:39:47.990> then<00:39:48.110> see<00:39:48.260> if<00:39:48.320> you 00:39:48.370 --> 00:39:48.380 align:start position:0% say not not not T and then see if you 00:39:48.380 --> 00:39:49.930 align:start position:0% say not not not T and then see if you take<00:39:48.530> not<00:39:48.860> not<00:39:49.010> P<00:39:49.160> right<00:39:49.430> and<00:39:49.580> so<00:39:49.670> all<00:39:49.790> we're 00:39:49.930 --> 00:39:49.940 align:start position:0% take not not P right and so all we're 00:39:49.940 --> 00:39:51.430 align:start position:0% take not not P right and so all we're doing<00:39:50.150> is<00:39:50.210> growing<00:39:50.660> this<00:39:50.780> leg<00:39:51.050> logical 00:39:51.430 --> 00:39:51.440 align:start position:0% doing is growing this leg logical 00:39:51.440 --> 00:39:52.930 align:start position:0% doing is growing this leg logical expression<00:39:51.830> what<00:39:52.160> we<00:39:52.280> really<00:39:52.490> wanted<00:39:52.640> to<00:39:52.820> make 00:39:52.930 --> 00:39:52.940 align:start position:0% expression what we really wanted to make 00:39:52.940 --> 00:39:54.580 align:start position:0% expression what we really wanted to make the<00:39:53.060> expression<00:39:53.420> smaller<00:39:53.960> because<00:39:54.320> we<00:39:54.440> want 00:39:54.580 --> 00:39:54.590 align:start position:0% the expression smaller because we want 00:39:54.590 --> 00:39:55.900 align:start position:0% the expression smaller because we want to<00:39:54.620> get<00:39:54.710> down<00:39:54.860> to<00:39:55.100> something<00:39:55.310> eventually<00:39:55.790> that 00:39:55.900 --> 00:39:55.910 align:start position:0% to get down to something eventually that 00:39:55.910 --> 00:39:58.660 align:start position:0% to get down to something eventually that we<00:39:55.970> can<00:39:56.090> evaluate<00:39:56.300> on<00:39:56.720> chain<00:39:57.020> very<00:39:57.290> easily<00:39:57.670> so 00:39:58.660 --> 00:39:58.670 align:start position:0% we can evaluate on chain very easily so 00:39:58.670 --> 00:40:00.460 align:start position:0% we can evaluate on chain very easily so that's<00:39:58.820> a<00:39:58.880> great<00:39:59.030> question<00:39:59.480> and<00:39:59.570> intuitively 00:40:00.460 --> 00:40:00.470 align:start position:0% that's a great question and intuitively 00:40:00.470 --> 00:40:02.620 align:start position:0% that's a great question and intuitively this<00:40:00.710> makes<00:40:00.770> sense<00:40:01.250> because<00:40:01.400> I<00:40:01.880> plan<00:40:02.180> a<00:40:02.360> you 00:40:02.620 --> 00:40:02.630 align:start position:0% this makes sense because I plan a you 00:40:02.630 --> 00:40:04.840 align:start position:0% this makes sense because I plan a you can<00:40:02.780> play<00:40:02.960> my<00:40:03.140> game<00:40:03.380> but<00:40:04.190> what<00:40:04.370> we<00:40:04.490> want<00:40:04.670> to<00:40:04.700> do 00:40:04.840 --> 00:40:04.850 align:start position:0% can play my game but what we want to do 00:40:04.850 --> 00:40:06.130 align:start position:0% can play my game but what we want to do is<00:40:04.970> provide<00:40:05.120> in<00:40:05.420> such<00:40:05.630> a<00:40:05.660> way<00:40:05.840> that<00:40:05.870> these 00:40:06.130 --> 00:40:06.140 align:start position:0% is provide in such a way that these 00:40:06.140 --> 00:40:08.620 align:start position:0% is provide in such a way that these games<00:40:06.380> sort<00:40:06.620> of<00:40:06.680> reduce<00:40:07.040> so<00:40:08.000> the<00:40:08.090> two<00:40:08.240> lands<00:40:08.420> of 00:40:08.620 --> 00:40:08.630 align:start position:0% games sort of reduce so the two lands of 00:40:08.630 --> 00:40:09.940 align:start position:0% games sort of reduce so the two lands of the<00:40:08.720> movies<00:40:09.020> that<00:40:09.290> great<00:40:09.530> question<00:40:09.860> great 00:40:09.940 --> 00:40:09.950 align:start position:0% the movies that great question great 00:40:09.950 --> 00:40:11.560 align:start position:0% the movies that great question great question<00:40:10.190> but<00:40:10.790> here's<00:40:10.910> the<00:40:11.090> intuition<00:40:11.510> is 00:40:11.560 --> 00:40:11.570 align:start position:0% question but here's the intuition is 00:40:11.570 --> 00:40:13.030 align:start position:0% question but here's the intuition is there<00:40:11.810> yeah<00:40:12.050> I<00:40:12.080> guess<00:40:12.380> that<00:40:12.590> the<00:40:12.680> game<00:40:12.830> can 00:40:13.030 --> 00:40:13.040 align:start position:0% there yeah I guess that the game can 00:40:13.040 --> 00:40:14.950 align:start position:0% there yeah I guess that the game can transform<00:40:13.460> in<00:40:14.030> a<00:40:14.150> way<00:40:14.240> then<00:40:14.420> if<00:40:14.510> one<00:40:14.660> person 00:40:14.950 --> 00:40:14.960 align:start position:0% transform in a way then if one person 00:40:14.960 --> 00:40:16.600 align:start position:0% transform in a way then if one person says<00:40:15.080> something<00:40:15.470> the<00:40:15.890> other<00:40:16.100> person<00:40:16.130> says 00:40:16.600 --> 00:40:16.610 align:start position:0% says something the other person says 00:40:16.610 --> 00:40:18.820 align:start position:0% says something the other person says something<00:40:16.640> else<00:40:17.120> that<00:40:17.360> disagrees<00:40:17.870> so<00:40:18.350> that's 00:40:18.820 --> 00:40:18.830 align:start position:0% something else that disagrees so that's 00:40:18.830 --> 00:40:20.500 align:start position:0% something else that disagrees so that's exactly<00:40:19.070> great<00:40:19.400> intuition<00:40:19.610> okay<00:40:20.360> does<00:40:20.480> this 00:40:20.500 --> 00:40:20.510 align:start position:0% exactly great intuition okay does this 00:40:20.510 --> 00:40:21.600 align:start position:0% exactly great intuition okay does this rule<00:40:20.750> makes<00:40:20.930> sense 00:40:21.600 --> 00:40:21.610 align:start position:0% rule makes sense 00:40:21.610 --> 00:40:28.050 align:start position:0% rule makes sense nice<00:40:23.470> here's<00:40:24.470> a<00:40:24.530> final<00:40:24.770> a<00:40:25.190> a<00:40:26.120> says<00:40:26.480> p0<00:40:27.050> and<00:40:27.320> p1 00:40:28.050 --> 00:40:28.060 align:start position:0% nice here's a final a a says p0 and p1 00:40:28.060 --> 00:40:31.780 align:start position:0% nice here's a final a a says p0 and p1 that<00:40:29.060> I<00:40:29.180> has<00:40:29.390> a<00:40:29.420> that<00:40:29.870> that<00:40:30.140> B<00:40:30.380> has<00:40:30.620> a<00:40:30.650> choice<00:40:30.920> D 00:40:31.780 --> 00:40:31.790 align:start position:0% that I has a that that B has a choice D 00:40:31.790 --> 00:40:34.930 align:start position:0% that I has a that that B has a choice D may<00:40:32.060> either<00:40:32.210> XI<00:40:32.510> 0<00:40:32.840> or<00:40:33.200> 1<00:40:33.590> which<00:40:34.370> is<00:40:34.550> the<00:40:34.700> left 00:40:34.930 --> 00:40:34.940 align:start position:0% may either XI 0 or 1 which is the left 00:40:34.940 --> 00:40:36.550 align:start position:0% may either XI 0 or 1 which is the left of<00:40:35.090> the<00:40:35.180> a<00:40:35.210> hat<00:40:35.480> or<00:40:35.690> the<00:40:35.720> right<00:40:35.990> of<00:40:36.110> the<00:40:36.170> end<00:40:36.320> and 00:40:36.550 --> 00:40:36.560 align:start position:0% of the a hat or the right of the end and 00:40:36.560 --> 00:40:39.400 align:start position:0% of the a hat or the right of the end and B<00:40:37.190> says<00:40:37.520> not<00:40:38.060> P<00:40:38.420> i<00:40:38.450> okay<00:40:38.570> so<00:40:38.900> here's<00:40:39.230> an<00:40:39.350> example 00:40:39.400 --> 00:40:39.410 align:start position:0% B says not P i okay so here's an example 00:40:39.410 --> 00:40:40.960 align:start position:0% B says not P i okay so here's an example of<00:40:39.740> where<00:40:39.890> not<00:40:40.070> does<00:40:40.340> get<00:40:40.520> that<00:40:40.730> bond 00:40:40.960 --> 00:40:40.970 align:start position:0% of where not does get that bond 00:40:40.970 --> 00:40:43.390 align:start position:0% of where not does get that bond regularly<00:40:41.780> produce<00:40:41.900> me<00:40:42.290> and<00:40:42.530> into<00:40:43.190> something 00:40:43.390 --> 00:40:43.400 align:start position:0% regularly produce me and into something 00:40:43.400 --> 00:40:45.850 align:start position:0% regularly produce me and into something else<00:40:43.610> right<00:40:44.390> ok<00:40:44.840> so<00:40:45.470> hopefully<00:40:45.530> that<00:40:45.830> makes 00:40:45.850 --> 00:40:45.860 align:start position:0% else right ok so hopefully that makes 00:40:45.860 --> 00:40:47.110 align:start position:0% else right ok so hopefully that makes sense<00:40:46.130> it's<00:40:46.400> very<00:40:46.700> logical 00:40:47.110 --> 00:40:47.120 align:start position:0% sense it's very logical 00:40:47.120 --> 00:40:49.450 align:start position:0% sense it's very logical today<00:40:47.570> says<00:40:47.870> the<00:40:48.230> sky<00:40:48.440> is<00:40:48.470> blue<00:40:48.800> and<00:40:49.070> it<00:40:49.370> is 00:40:49.450 --> 00:40:49.460 align:start position:0% today says the sky is blue and it is 00:40:49.460 --> 00:40:51.640 align:start position:0% today says the sky is blue and it is raining<00:40:49.850> then<00:40:50.030> D<00:40:50.660> they<00:40:50.960> either<00:40:51.110> say<00:40:51.350> the<00:40:51.380> sky 00:40:51.640 --> 00:40:51.650 align:start position:0% raining then D they either say the sky 00:40:51.650 --> 00:40:53.170 align:start position:0% raining then D they either say the sky is<00:40:51.710> not<00:40:51.860> blue<00:40:51.920> or<00:40:52.310> it<00:40:52.460> is<00:40:52.550> not<00:40:52.700> raining<00:40:52.940> right 00:40:53.170 --> 00:40:53.180 align:start position:0% is not blue or it is not raining right 00:40:53.180 --> 00:40:54.820 align:start position:0% is not blue or it is not raining right this<00:40:53.450> is<00:40:53.570> how<00:40:53.690> this<00:40:53.840> is<00:40:53.900> how<00:40:53.990> they<00:40:54.200> respond<00:40:54.500> and 00:40:54.820 --> 00:40:54.830 align:start position:0% this is how this is how they respond and 00:40:54.830 --> 00:40:55.900 align:start position:0% this is how this is how they respond and so<00:40:55.010> notably 00:40:55.900 --> 00:40:55.910 align:start position:0% so notably 00:40:55.910 --> 00:40:58.090 align:start position:0% so notably everywhere<00:40:56.390> to<00:40:56.450> be<00:40:56.570> here<00:40:56.930> then<00:40:57.380> the<00:40:57.500> next<00:40:57.770> then 00:40:58.090 --> 00:40:58.100 align:start position:0% everywhere to be here then the next then 00:40:58.100 --> 00:40:59.650 align:start position:0% everywhere to be here then the next then this<00:40:58.280> rule<00:40:58.460> would<00:40:58.610> apply<00:40:58.730> right<00:40:59.120> an<00:40:59.270> a<00:40:59.390> and<00:40:59.570> B 00:40:59.650 --> 00:40:59.660 align:start position:0% this rule would apply right an a and B 00:40:59.660 --> 00:41:01.420 align:start position:0% this rule would apply right an a and B are<00:40:59.810> sort<00:41:00.080> of<00:41:00.140> switched<00:41:00.380> out<00:41:00.620> right<00:41:00.890> but<00:41:01.220> now 00:41:01.420 --> 00:41:01.430 align:start position:0% are sort of switched out right but now 00:41:01.430 --> 00:41:03.549 align:start position:0% are sort of switched out right but now but<00:41:01.760> now<00:41:01.820> we<00:41:02.000> would<00:41:02.270> get<00:41:02.420> these<00:41:02.540> a<00:41:02.690> over<00:41:03.080> here 00:41:03.549 --> 00:41:03.559 align:start position:0% but now we would get these a over here 00:41:03.559 --> 00:41:06.519 align:start position:0% but now we would get these a over here API<00:41:04.279> over<00:41:04.969> invited<00:41:05.599> so<00:41:05.719> this<00:41:05.869> should<00:41:05.989> give<00:41:06.410> an 00:41:06.519 --> 00:41:06.529 align:start position:0% API over invited so this should give an 00:41:06.529 --> 00:41:08.049 align:start position:0% API over invited so this should give an intuition<00:41:06.979> for<00:41:07.130> how<00:41:07.430> these<00:41:07.640> games<00:41:07.849> are<00:41:08.029> the 00:41:08.049 --> 00:41:08.059 align:start position:0% intuition for how these games are the 00:41:08.059 --> 00:41:12.160 align:start position:0% intuition for how these games are the best<00:41:08.150> right<00:41:10.029> okay<00:41:11.029> here's<00:41:11.539> another<00:41:11.599> one<00:41:11.809> or 00:41:12.160 --> 00:41:12.170 align:start position:0% best right okay here's another one or 00:41:12.170 --> 00:41:14.019 align:start position:0% best right okay here's another one or right<00:41:12.890> so<00:41:13.130> lord<00:41:13.430> is<00:41:13.579> something<00:41:13.789> that<00:41:13.910> are<00:41:13.969> you 00:41:14.019 --> 00:41:14.029 align:start position:0% right so lord is something that are you 00:41:14.029 --> 00:41:15.309 align:start position:0% right so lord is something that are you doing<00:41:14.180> through<00:41:14.329> the<00:41:14.420> rapt<00:41:14.630> estroux<00:41:14.959> are<00:41:15.170> the 00:41:15.309 --> 00:41:15.319 align:start position:0% doing through the rapt estroux are the 00:41:15.319 --> 00:41:17.199 align:start position:0% doing through the rapt estroux are the right<00:41:15.469> is<00:41:15.589> true<00:41:15.829> that<00:41:16.249> it's<00:41:16.430> true<00:41:16.699> so<00:41:17.059> what 00:41:17.199 --> 00:41:17.209 align:start position:0% right is true that it's true so what 00:41:17.209 --> 00:41:21.189 align:start position:0% right is true that it's true so what happens<00:41:17.539> in<00:41:17.630> a<00:41:17.749> cesspit<00:41:18.349> 0<00:41:18.619> or<00:41:18.920> P<00:41:19.339> 1<00:41:19.609> then<00:41:20.420> B<00:41:20.689> has 00:41:21.189 --> 00:41:21.199 align:start position:0% happens in a cesspit 0 or P 1 then B has 00:41:21.199 --> 00:41:24.429 align:start position:0% happens in a cesspit 0 or P 1 then B has to<00:41:21.380> respond<00:41:21.709> by<00:41:21.859> saying<00:41:22.039> not<00:41:22.609> p<00:41:22.849> 0<00:41:23.089> and<00:41:23.420> not<00:41:24.019> p<00:41:24.259> 1 00:41:24.429 --> 00:41:24.439 align:start position:0% to respond by saying not p 0 and not p 1 00:41:24.439 --> 00:41:26.199 align:start position:0% to respond by saying not p 0 and not p 1 right<00:41:24.680> so<00:41:24.829> the<00:41:24.949> only<00:41:24.979> way<00:41:25.309> for<00:41:25.549> this<00:41:25.969> statement 00:41:26.199 --> 00:41:26.209 align:start position:0% right so the only way for this statement 00:41:26.209 --> 00:41:28.870 align:start position:0% right so the only way for this statement to<00:41:26.449> sort<00:41:26.660> of<00:41:26.689> be<00:41:26.839> false<00:41:27.140> is<00:41:27.739> if<00:41:27.799> both<00:41:28.579> of<00:41:28.609> these 00:41:28.870 --> 00:41:28.880 align:start position:0% to sort of be false is if both of these 00:41:28.880 --> 00:41:30.279 align:start position:0% to sort of be false is if both of these things<00:41:29.180> are<00:41:29.359> false<00:41:29.630> because<00:41:29.839> this<00:41:30.079> is<00:41:30.170> what 00:41:30.279 --> 00:41:30.289 align:start position:0% things are false because this is what 00:41:30.289 --> 00:41:32.289 align:start position:0% things are false because this is what the<00:41:30.410> order<00:41:30.829> does<00:41:31.039> is<00:41:31.219> conjunction<00:41:32.180> and 00:41:32.289 --> 00:41:32.299 align:start position:0% the order does is conjunction and 00:41:32.299 --> 00:41:33.670 align:start position:0% the order does is conjunction and destruction<00:41:32.719> there's<00:41:32.959> thing<00:41:33.140> like<00:41:33.289> that<00:41:33.319> any 00:41:33.670 --> 00:41:33.680 align:start position:0% destruction there's thing like that any 00:41:33.680 --> 00:41:36.359 align:start position:0% destruction there's thing like that any budget<00:41:34.039> right<00:41:34.509> so<00:41:35.509> does<00:41:35.569> that<00:41:35.660> make<00:41:35.839> sense<00:41:35.900> it 00:41:36.359 --> 00:41:36.369 align:start position:0% budget right so does that make sense it 00:41:36.369 --> 00:41:40.359 align:start position:0% budget right so does that make sense it it's<00:41:37.369> bigger<00:41:37.819> ah<00:41:38.140> this<00:41:39.140> one<00:41:39.289> is<00:41:39.319> bigger<00:41:39.739> so<00:41:40.069> it 00:41:40.359 --> 00:41:40.369 align:start position:0% it's bigger ah this one is bigger so it 00:41:40.369 --> 00:41:42.459 align:start position:0% it's bigger ah this one is bigger so it is<00:41:40.519> bigger<00:41:40.759> that's<00:41:40.999> true<00:41:41.329> but<00:41:41.869> now<00:41:42.049> it<00:41:42.259> feeds 00:41:42.459 --> 00:41:42.469 align:start position:0% is bigger that's true but now it feeds 00:41:42.469 --> 00:41:44.559 align:start position:0% is bigger that's true but now it feeds into<00:41:42.619> this<00:41:42.859> rule<00:41:43.130> so<00:41:43.430> right<00:41:43.670> so<00:41:43.849> so<00:41:44.150> normally 00:41:44.559 --> 00:41:44.569 align:start position:0% into this rule so right so so normally 00:41:44.569 --> 00:41:48.789 align:start position:0% into this rule so right so so normally like<00:41:44.719> you<00:41:44.930> know<00:41:45.289> this<00:41:45.699> this<00:41:46.699> outcome<00:41:47.299> has<00:41:47.799> this 00:41:48.789 --> 00:41:48.799 align:start position:0% like you know this this outcome has this 00:41:48.799 --> 00:41:51.400 align:start position:0% like you know this this outcome has this rule<00:41:48.979> about<00:41:49.099> it<00:41:49.549> and<00:41:49.670> this<00:41:50.509> song<00:41:50.930> is<00:41:51.109> in<00:41:51.229> that 00:41:51.400 --> 00:41:51.410 align:start position:0% rule about it and this song is in that 00:41:51.410 --> 00:41:52.839 align:start position:0% rule about it and this song is in that this<00:41:51.650> rule<00:41:51.859> applied<00:41:52.160> to<00:41:52.309> it<00:41:52.400> which<00:41:52.519> will<00:41:52.670> then 00:41:52.839 --> 00:41:52.849 align:start position:0% this rule applied to it which will then 00:41:52.849 --> 00:41:54.640 align:start position:0% this rule applied to it which will then get<00:41:52.999> that<00:41:53.209> this<00:41:53.390> rule<00:41:53.569> applied<00:41:53.839> to<00:41:53.989> it<00:41:54.049> so<00:41:54.499> what 00:41:54.640 --> 00:41:54.650 align:start position:0% get that this rule applied to it so what 00:41:54.650 --> 00:41:55.959 align:start position:0% get that this rule applied to it so what we'll<00:41:54.769> find<00:41:54.979> is<00:41:55.249> that<00:41:55.279> you've<00:41:55.489> got<00:41:55.640> this<00:41:55.759> one 00:41:55.959 --> 00:41:55.969 align:start position:0% we'll find is that you've got this one 00:41:55.969 --> 00:41:57.160 align:start position:0% we'll find is that you've got this one kind<00:41:56.209> of<00:41:56.239> looks<00:41:56.420> a<00:41:56.569> little<00:41:56.689> bigger<00:41:56.989> because 00:41:57.160 --> 00:41:57.170 align:start position:0% kind of looks a little bigger because 00:41:57.170 --> 00:41:59.499 align:start position:0% kind of looks a little bigger because there's<00:41:57.410> now<00:41:57.559> two<00:41:58.189> knots<00:41:58.430> and<00:41:58.789> a<00:41:58.939> half<00:41:59.119> as<00:41:59.329> was 00:41:59.499 --> 00:41:59.509 align:start position:0% there's now two knots and a half as was 00:41:59.509 --> 00:42:01.359 align:start position:0% there's now two knots and a half as was just<00:41:59.749> one<00:41:59.900> more<00:42:00.109> eventually<00:42:01.069> things<00:42:01.219> will 00:42:01.359 --> 00:42:01.369 align:start position:0% just one more eventually things will 00:42:01.369 --> 00:42:03.009 align:start position:0% just one more eventually things will would<00:42:01.609> you<00:42:01.640> stop<00:42:02.029> will<00:42:02.299> always<00:42:02.569> get<00:42:02.689> smaller 00:42:03.009 --> 00:42:03.019 align:start position:0% would you stop will always get smaller 00:42:03.019 --> 00:42:06.010 align:start position:0% would you stop will always get smaller and<00:42:03.140> smaller<00:42:03.939> incisions<00:42:04.939> around<00:42:05.089> later 00:42:06.010 --> 00:42:06.020 align:start position:0% and smaller incisions around later 00:42:06.020 --> 00:42:08.650 align:start position:0% and smaller incisions around later vision<00:42:06.350> say<00:42:07.160> that's<00:42:07.370> a<00:42:07.460> no<00:42:07.730> he's<00:42:07.880> not<00:42:08.000> that<00:42:08.060> you 00:42:08.650 --> 00:42:08.660 align:start position:0% vision say that's a no he's not that you 00:42:08.660 --> 00:42:10.960 align:start position:0% vision say that's a no he's not that you didn't<00:42:08.990> report<00:42:09.290> our<00:42:09.440> position<00:42:09.580> yeah<00:42:10.580> it's<00:42:10.880> a 00:42:10.960 --> 00:42:10.970 align:start position:0% didn't report our position yeah it's a 00:42:10.970 --> 00:42:13.300 align:start position:0% didn't report our position yeah it's a some<00:42:11.240> intuitive<00:42:11.540> reduction<00:42:12.170> the<00:42:12.770> goal<00:42:12.980> is<00:42:13.160> to 00:42:13.300 --> 00:42:13.310 align:start position:0% some intuitive reduction the goal is to 00:42:13.310 --> 00:42:14.620 align:start position:0% some intuitive reduction the goal is to eventually<00:42:13.490> around<00:42:14.000> so<00:42:14.240> we're<00:42:14.390> just<00:42:14.540> like 00:42:14.620 --> 00:42:14.630 align:start position:0% eventually around so we're just like 00:42:14.630 --> 00:42:16.180 align:start position:0% eventually around so we're just like checking<00:42:14.870> one<00:42:15.230> signature<00:42:15.710> right 00:42:16.180 --> 00:42:16.190 align:start position:0% checking one signature right 00:42:16.190 --> 00:42:18.040 align:start position:0% checking one signature right so<00:42:16.370> the<00:42:16.550> verified<00:42:16.910> multi-sig<00:42:17.420> example<00:42:17.900> that<00:42:17.990> i 00:42:18.040 --> 00:42:18.050 align:start position:0% so the verified multi-sig example that i 00:42:18.050 --> 00:42:19.930 align:start position:0% so the verified multi-sig example that i gave<00:42:18.080> we<00:42:18.470> want<00:42:18.620> to<00:42:18.680> say<00:42:18.740> for<00:42:18.920> all<00:42:19.100> P<00:42:19.460> plus<00:42:19.790> the 00:42:19.930 --> 00:42:19.940 align:start position:0% gave we want to say for all P plus the 00:42:19.940 --> 00:42:21.490 align:start position:0% gave we want to say for all P plus the participants<00:42:20.420> right<00:42:20.570> the<00:42:21.020> great<00:42:21.260> thing<00:42:21.440> about 00:42:21.490 --> 00:42:21.500 align:start position:0% participants right the great thing about 00:42:21.500 --> 00:42:22.870 align:start position:0% participants right the great thing about doing<00:42:21.650> them<00:42:21.920> all<00:42:22.010> to<00:42:22.130> see<00:42:22.280> this<00:42:22.430> way<00:42:22.580> is<00:42:22.760> you 00:42:22.870 --> 00:42:22.880 align:start position:0% doing them all to see this way is you 00:42:22.880 --> 00:42:24.760 align:start position:0% doing them all to see this way is you can<00:42:23.000> disprove<00:42:23.540> the<00:42:23.870> multiset<00:42:24.320> not<00:42:24.650> by 00:42:24.760 --> 00:42:24.770 align:start position:0% can disprove the multiset not by 00:42:24.770 --> 00:42:26.230 align:start position:0% can disprove the multiset not by checking<00:42:24.980> all<00:42:25.220> the<00:42:25.280> participants<00:42:25.700> but<00:42:26.150> by 00:42:26.230 --> 00:42:26.240 align:start position:0% checking all the participants but by 00:42:26.240 --> 00:42:27.850 align:start position:0% checking all the participants but by simply<00:42:26.420> providing<00:42:26.690> the<00:42:27.170> one<00:42:27.290> that's<00:42:27.500> not<00:42:27.620> true 00:42:27.850 --> 00:42:27.860 align:start position:0% simply providing the one that's not true 00:42:27.860 --> 00:42:28.480 align:start position:0% simply providing the one that's not true okay 00:42:28.480 --> 00:42:28.490 align:start position:0% okay 00:42:28.490 --> 00:42:29.980 align:start position:0% okay and<00:42:28.580> so<00:42:28.910> this<00:42:29.030> ends<00:42:29.240> up<00:42:29.300> being<00:42:29.360> what<00:42:29.600> happens<00:42:29.720> a 00:42:29.980 --> 00:42:29.990 align:start position:0% and so this ends up being what happens a 00:42:29.990 --> 00:42:31.660 align:start position:0% and so this ends up being what happens a lot<00:42:30.020> in<00:42:30.530> with<00:42:30.650> being<00:42:30.860> in<00:42:31.070> layer<00:42:31.220> two<00:42:31.400> protocols 00:42:31.660 --> 00:42:31.670 align:start position:0% lot in with being in layer two protocols 00:42:31.670 --> 00:42:34.330 align:start position:0% lot in with being in layer two protocols for<00:42:32.180> example<00:42:32.480> a<00:42:32.510> plasma<00:42:33.080> you<00:42:33.860> make<00:42:34.010> a<00:42:34.040> rule 00:42:34.330 --> 00:42:34.340 align:start position:0% for example a plasma you make a rule 00:42:34.340 --> 00:42:36.820 align:start position:0% for example a plasma you make a rule that<00:42:34.490> says<00:42:34.700> before<00:42:35.090> all<00:42:35.330> blocks<00:42:36.080> less<00:42:36.590> than 00:42:36.820 --> 00:42:36.830 align:start position:0% that says before all blocks less than 00:42:36.830 --> 00:42:38.680 align:start position:0% that says before all blocks less than the<00:42:36.920> line<00:42:37.040> exiting<00:42:37.610> from<00:42:37.760> this<00:42:38.240> condition<00:42:38.600> is 00:42:38.680 --> 00:42:38.690 align:start position:0% the line exiting from this condition is 00:42:38.690 --> 00:42:40.600 align:start position:0% the line exiting from this condition is satisfied<00:42:38.720> would<00:42:39.470> be<00:42:39.590> very<00:42:39.800> expensive<00:42:40.070> and<00:42:40.460> it 00:42:40.600 --> 00:42:40.610 align:start position:0% satisfied would be very expensive and it 00:42:40.610 --> 00:42:42.070 align:start position:0% satisfied would be very expensive and it would<00:42:40.760> break<00:42:40.970> the<00:42:41.150> scalability<00:42:41.660> or<00:42:41.720> system<00:42:42.050> to 00:42:42.070 --> 00:42:42.080 align:start position:0% would break the scalability or system to 00:42:42.080 --> 00:42:43.870 align:start position:0% would break the scalability or system to check<00:42:42.290> all<00:42:42.500> those<00:42:42.620> blocks<00:42:42.860> on<00:42:43.040> chain<00:42:43.280> but 00:42:43.870 --> 00:42:43.880 align:start position:0% check all those blocks on chain but 00:42:43.880 --> 00:42:45.370 align:start position:0% check all those blocks on chain but instead<00:42:44.210> you<00:42:44.420> only<00:42:44.600> check<00:42:44.960> them<00:42:45.080> into<00:42:45.260> the 00:42:45.370 --> 00:42:45.380 align:start position:0% instead you only check them into the 00:42:45.380 --> 00:42:47.170 align:start position:0% instead you only check them into the true<00:42:45.530> ones<00:42:45.770> that<00:42:45.920> people<00:42:46.040> decide<00:42:46.670> to<00:42:46.700> respond 00:42:47.170 --> 00:42:47.180 align:start position:0% true ones that people decide to respond 00:42:47.180 --> 00:42:58.840 align:start position:0% true ones that people decide to respond to<00:42:55.720> okay<00:42:56.750> so<00:42:57.410> here's<00:42:57.620> here's<00:42:57.890> a<00:42:58.010> fun<00:42:58.250> one<00:42:58.400> okay 00:42:58.840 --> 00:42:58.850 align:start position:0% to okay so here's here's a fun one okay 00:42:58.850 --> 00:43:00.040 align:start position:0% to okay so here's here's a fun one okay this<00:42:59.030> is<00:42:59.150> this<00:42:59.300> one<00:42:59.450> things<00:42:59.660> maybe<00:42:59.840> get<00:43:00.020> a 00:43:00.040 --> 00:43:00.050 align:start position:0% this is this one things maybe get a 00:43:00.050 --> 00:43:01.300 align:start position:0% this is this one things maybe get a little<00:43:00.260> more<00:43:00.320> hairier<00:43:00.650> these<00:43:00.860> are<00:43:01.010> these<00:43:01.160> are 00:43:01.300 --> 00:43:01.310 align:start position:0% little more hairier these are these are 00:43:01.310 --> 00:43:03.220 align:start position:0% little more hairier these are these are pretty<00:43:01.820> straightforward<00:43:02.000> now<00:43:02.900> we're<00:43:03.140> gonna 00:43:03.220 --> 00:43:03.230 align:start position:0% pretty straightforward now we're gonna 00:43:03.230 --> 00:43:04.660 align:start position:0% pretty straightforward now we're gonna throw<00:43:03.320> in<00:43:03.530> the<00:43:03.560> two<00:43:03.710> qualifiers<00:43:04.220> the<00:43:04.430> first 00:43:04.660 --> 00:43:04.670 align:start position:0% throw in the two qualifiers the first 00:43:04.670 --> 00:43:06.100 align:start position:0% throw in the two qualifiers the first one<00:43:04.820> we'll<00:43:04.910> talk<00:43:05.060> about<00:43:05.120> is<00:43:05.330> the<00:43:05.630> existential 00:43:06.100 --> 00:43:06.110 align:start position:0% one we'll talk about is the existential 00:43:06.110 --> 00:43:09.010 align:start position:0% one we'll talk about is the existential quantifier<00:43:06.610> okay<00:43:07.610> so<00:43:08.330> there's<00:43:08.540> a<00:43:08.630> such<00:43:08.780> fun 00:43:09.010 --> 00:43:09.020 align:start position:0% quantifier okay so there's a such fun 00:43:09.020 --> 00:43:10.270 align:start position:0% quantifier okay so there's a such fun part<00:43:09.230> let's<00:43:09.260> just<00:43:09.500> let's<00:43:09.740> just<00:43:09.800> read<00:43:10.070> this 00:43:10.270 --> 00:43:10.280 align:start position:0% part let's just let's just read this 00:43:10.280 --> 00:43:12.670 align:start position:0% part let's just let's just read this statement<00:43:10.490> a<00:43:10.820> is<00:43:11.120> defending<00:43:12.020> the<00:43:12.050> proposition 00:43:12.670 --> 00:43:12.680 align:start position:0% statement a is defending the proposition 00:43:12.680 --> 00:43:17.250 align:start position:0% statement a is defending the proposition there<00:43:13.460> exists<00:43:13.940> X<00:43:14.180> such<00:43:14.360> that<00:43:15.230> P<00:43:15.860> of<00:43:15.980> X<00:43:16.130> okay<00:43:16.970> so 00:43:17.250 --> 00:43:17.260 align:start position:0% there exists X such that P of X okay so 00:43:17.260 --> 00:43:20.830 align:start position:0% there exists X such that P of X okay so how<00:43:18.260> do<00:43:18.740> we<00:43:18.800> respond<00:43:19.430> to<00:43:19.550> this<00:43:19.760> the<00:43:20.300> way<00:43:20.450> that<00:43:20.690> B 00:43:20.830 --> 00:43:20.840 align:start position:0% how do we respond to this the way that B 00:43:20.840 --> 00:43:22.270 align:start position:0% how do we respond to this the way that B is<00:43:20.930> a<00:43:20.960> lot<00:43:21.140> of<00:43:21.260> respond<00:43:21.590> to<00:43:21.680> this<00:43:21.800> is<00:43:22.040> the<00:43:22.130> same 00:43:22.270 --> 00:43:22.280 align:start position:0% is a lot of respond to this is the same 00:43:22.280 --> 00:43:26.530 align:start position:0% is a lot of respond to this is the same uh-huh<00:43:22.910> I<00:43:23.150> disagreed<00:43:23.750> for<00:43:24.560> love<00:43:24.740> of<00:43:24.770> X<00:43:25.160> not<00:43:26.090> to 00:43:26.530 --> 00:43:26.540 align:start position:0% uh-huh I disagreed for love of X not to 00:43:26.540 --> 00:43:29.560 align:start position:0% uh-huh I disagreed for love of X not to do<00:43:26.630> this<00:43:27.370> okay<00:43:28.370> so<00:43:29.000> this<00:43:29.120> should<00:43:29.270> make<00:43:29.390> sense 00:43:29.560 --> 00:43:29.570 align:start position:0% do this okay so this should make sense 00:43:29.570 --> 00:43:32.610 align:start position:0% do this okay so this should make sense so<00:43:29.780> if<00:43:29.840> I<00:43:29.930> sing<00:43:30.170> every<00:43:30.860> day<00:43:31.010> in<00:43:31.130> the<00:43:31.190> last<00:43:31.370> year 00:43:32.610 --> 00:43:32.620 align:start position:0% so if I sing every day in the last year 00:43:32.620 --> 00:43:34.960 align:start position:0% so if I sing every day in the last year there<00:43:33.620> was<00:43:33.950> a<00:43:34.010> thing<00:43:34.250> last<00:43:34.430> year<00:43:34.550> when<00:43:34.880> it 00:43:34.960 --> 00:43:34.970 align:start position:0% there was a thing last year when it 00:43:34.970 --> 00:43:36.970 align:start position:0% there was a thing last year when it rained<00:43:35.150> okay<00:43:35.750> so<00:43:36.170> what<00:43:36.260> else<00:43:36.380> to<00:43:36.500> response<00:43:36.800> in 00:43:36.970 --> 00:43:36.980 align:start position:0% rained okay so what else to response in 00:43:36.980 --> 00:43:38.920 align:start position:0% rained okay so what else to response in you<00:43:37.070> know<00:43:37.190> every<00:43:37.940> day<00:43:38.090> last<00:43:38.270> year<00:43:38.420> it<00:43:38.690> did<00:43:38.810> not 00:43:38.920 --> 00:43:38.930 align:start position:0% you know every day last year it did not 00:43:38.930 --> 00:43:40.030 align:start position:0% you know every day last year it did not man<00:43:39.170> okay 00:43:40.030 --> 00:43:40.040 align:start position:0% man okay 00:43:40.040 --> 00:43:41.440 align:start position:0% man okay so<00:43:40.430> hopefully<00:43:40.700> hopefully<00:43:40.880> that<00:43:41.150> makes<00:43:41.300> sense 00:43:41.440 --> 00:43:41.450 align:start position:0% so hopefully hopefully that makes sense 00:43:41.450 --> 00:43:43.090 align:start position:0% so hopefully hopefully that makes sense it<00:43:41.630> should<00:43:41.660> be<00:43:41.840> fairly<00:43:42.050> intuitive<00:43:42.440> and<00:43:42.890> again 00:43:43.090 --> 00:43:43.100 align:start position:0% it should be fairly intuitive and again 00:43:43.100 --> 00:43:44.500 align:start position:0% it should be fairly intuitive and again these<00:43:43.250> are<00:43:43.400> all<00:43:43.430> very<00:43:43.580> intuitive<00:43:44.090> right<00:43:44.360> we're 00:43:44.500 --> 00:43:44.510 align:start position:0% these are all very intuitive right we're 00:43:44.510 --> 00:43:45.940 align:start position:0% these are all very intuitive right we're just<00:43:44.660> providing<00:43:44.840> a<00:43:45.110> particular<00:43:45.530> formulation 00:43:45.940 --> 00:43:45.950 align:start position:0% just providing a particular formulation 00:43:45.950 --> 00:43:48.040 align:start position:0% just providing a particular formulation so<00:43:46.280> that<00:43:46.490> seems<00:43:46.730> very<00:43:46.850> obvious<00:43:47.270> right<00:43:47.810> there's 00:43:48.040 --> 00:43:48.050 align:start position:0% so that seems very obvious right there's 00:43:48.050 --> 00:43:49.780 align:start position:0% so that seems very obvious right there's nothing<00:43:48.590> very<00:43:48.800> very<00:43:49.130> hard<00:43:49.430> what<00:43:49.670> the 00:43:49.780 --> 00:43:49.790 align:start position:0% nothing very very hard what the 00:43:49.790 --> 00:43:52.270 align:start position:0% nothing very very hard what the counterintuitive<00:43:50.300> about<00:43:50.720> these<00:43:50.870> rules 00:43:52.270 --> 00:43:52.280 align:start position:0% counterintuitive about these rules 00:43:52.280 --> 00:43:54.620 align:start position:0% counterintuitive about these rules okay<00:43:53.280> so<00:43:53.340> now<00:43:53.580> we<00:43:53.640> have<00:43:53.730> the<00:43:53.880> last<00:43:54.030> one<00:43:54.180> and<00:43:54.480> as 00:43:54.620 --> 00:43:54.630 align:start position:0% okay so now we have the last one and as 00:43:54.630 --> 00:43:56.570 align:start position:0% okay so now we have the last one and as well<00:43:54.810> as<00:43:54.900> the<00:43:54.990> caption<00:43:55.350> that<00:43:55.380> you<00:43:55.580> thought 00:43:56.570 --> 00:43:56.580 align:start position:0% well as the caption that you thought 00:43:56.580 --> 00:44:00.230 align:start position:0% well as the caption that you thought that<00:43:56.640> prior<00:43:56.970> to<00:43:57.920> the<00:43:58.920> universal<00:43:59.550> inspire<00:44:00.000> and 00:44:00.230 --> 00:44:00.240 align:start position:0% that prior to the universal inspire and 00:44:00.240 --> 00:44:01.670 align:start position:0% that prior to the universal inspire and this<00:44:00.360> is<00:44:00.480> this<00:44:00.570> is<00:44:00.630> oh<00:44:00.810> this<00:44:00.840> is<00:44:01.050> a<00:44:01.080> big<00:44:01.260> one<00:44:01.440> so 00:44:01.670 --> 00:44:01.680 align:start position:0% this is this is oh this is a big one so 00:44:01.680 --> 00:44:07.250 align:start position:0% this is this is oh this is a big one so if<00:44:02.160> a<00:44:02.370> says<00:44:02.760> 4<00:44:03.060> X<00:44:03.540> P<00:44:04.230> of<00:44:04.320> X<00:44:05.120> B<00:44:06.120> may<00:44:06.600> choose<00:44:06.960> a 00:44:07.250 --> 00:44:07.260 align:start position:0% if a says 4 X P of X B may choose a 00:44:07.260 --> 00:44:11.720 align:start position:0% if a says 4 X P of X B may choose a particular<00:44:07.470> T<00:44:08.010> and<00:44:08.250> s<00:44:08.370> and<00:44:08.700> say<00:44:09.390> not<00:44:09.780> P<00:44:10.200> of<00:44:10.730> T 00:44:11.720 --> 00:44:11.730 align:start position:0% particular T and s and say not P of T 00:44:11.730 --> 00:44:14.720 align:start position:0% particular T and s and say not P of T replaced<00:44:12.240> in<00:44:12.420> X<00:44:12.600> or<00:44:12.900> or<00:44:13.500> if<00:44:13.920> you<00:44:14.250> replace<00:44:14.580> the 00:44:14.720 --> 00:44:14.730 align:start position:0% replaced in X or or if you replace the 00:44:14.730 --> 00:44:19.700 align:start position:0% replaced in X or or if you replace the protest<00:44:15.090> ok<00:44:15.660> so<00:44:16.230> if<00:44:17.120> a<00:44:18.120> player<00:44:18.810> a<00:44:19.080> says<00:44:19.380> it 00:44:19.700 --> 00:44:19.710 align:start position:0% protest ok so if a player a says it 00:44:19.710 --> 00:44:22.850 align:start position:0% protest ok so if a player a says it rained<00:44:19.950> every<00:44:20.160> day<00:44:20.430> last<00:44:20.850> year<00:44:21.170> player<00:44:22.170> B<00:44:22.470> can 00:44:22.850 --> 00:44:22.860 align:start position:0% rained every day last year player B can 00:44:22.860 --> 00:44:25.460 align:start position:0% rained every day last year player B can say<00:44:23.070> it<00:44:23.340> did<00:44:23.490> not<00:44:23.640> rain<00:44:23.910> on<00:44:24.240> January<00:44:24.960> 3rd<00:44:25.230> of 00:44:25.460 --> 00:44:25.470 align:start position:0% say it did not rain on January 3rd of 00:44:25.470 --> 00:44:29.690 align:start position:0% say it did not rain on January 3rd of last<00:44:25.500> year<00:44:26.040> right<00:44:26.790> so<00:44:27.090> the<00:44:27.930> this<00:44:28.470> seems<00:44:29.310> very 00:44:29.690 --> 00:44:29.700 align:start position:0% last year right so the this seems very 00:44:29.700 --> 00:44:31.760 align:start position:0% last year right so the this seems very important<00:44:30.120> one<00:44:30.300> is<00:44:30.660> one<00:44:30.990> of<00:44:31.020> the<00:44:31.140> things<00:44:31.350> one 00:44:31.760 --> 00:44:31.770 align:start position:0% important one is one of the things one 00:44:31.770 --> 00:44:33.230 align:start position:0% important one is one of the things one of<00:44:31.800> the<00:44:31.950> main<00:44:32.190> things<00:44:32.580> that<00:44:32.640> gets<00:44:32.970> us<00:44:33.120> the 00:44:33.230 --> 00:44:33.240 align:start position:0% of the main things that gets us the 00:44:33.240 --> 00:44:35.090 align:start position:0% of the main things that gets us the scalability<00:44:33.900> of<00:44:33.930> these<00:44:34.200> solutions<00:44:34.530> is<00:44:34.890> that 00:44:35.090 --> 00:44:35.100 align:start position:0% scalability of these solutions is that 00:44:35.100 --> 00:44:37.160 align:start position:0% scalability of these solutions is that oh<00:44:35.280> the<00:44:35.820> old<00:44:36.150> we<00:44:36.420> can<00:44:36.540> evaluate<00:44:36.810> whether 00:44:37.160 --> 00:44:37.170 align:start position:0% oh the old we can evaluate whether 00:44:37.170 --> 00:44:38.510 align:start position:0% oh the old we can evaluate whether something<00:44:37.560> is<00:44:37.590> true<00:44:37.650> for<00:44:38.130> all<00:44:38.280> of<00:44:38.310> these 00:44:38.510 --> 00:44:38.520 align:start position:0% something is true for all of these 00:44:38.520 --> 00:44:40.550 align:start position:0% something is true for all of these things<00:44:38.820> with<00:44:39.300> this<00:44:39.450> dispute<00:44:39.840> assumption<00:44:40.200> by 00:44:40.550 --> 00:44:40.560 align:start position:0% things with this dispute assumption by 00:44:40.560 --> 00:44:42.410 align:start position:0% things with this dispute assumption by simply<00:44:40.950> only<00:44:41.130> analyzing<00:44:41.640> particular<00:44:42.210> ones 00:44:42.410 --> 00:44:42.420 align:start position:0% simply only analyzing particular ones 00:44:42.420 --> 00:44:44.030 align:start position:0% simply only analyzing particular ones that<00:44:42.600> people<00:44:42.690> are<00:44:42.900> claiming<00:44:43.050> it's<00:44:43.440> not<00:44:43.680> true 00:44:44.030 --> 00:44:44.040 align:start position:0% that people are claiming it's not true 00:44:44.040 --> 00:44:46.040 align:start position:0% that people are claiming it's not true for<00:44:44.340> so<00:44:44.970> this<00:44:45.120> is<00:44:45.210> missing<00:44:45.630> this<00:44:45.750> is<00:44:45.930> the 00:44:46.040 --> 00:44:46.050 align:start position:0% for so this is missing this is the 00:44:46.050 --> 00:44:48.920 align:start position:0% for so this is missing this is the really<00:44:46.410> between<00:44:46.800> the<00:44:47.730> meat<00:44:48.030> and<00:44:48.180> potatoes<00:44:48.690> of 00:44:48.920 --> 00:44:48.930 align:start position:0% really between the meat and potatoes of 00:44:48.930 --> 00:44:50.930 align:start position:0% really between the meat and potatoes of our<00:44:49.350> scalability<00:44:49.710> under<00:44:50.370> this<00:44:50.490> construction 00:44:50.930 --> 00:44:50.940 align:start position:0% our scalability under this construction 00:44:50.940 --> 00:44:54.020 align:start position:0% our scalability under this construction yes<00:44:51.690> could<00:44:52.500> only<00:44:52.680> be<00:44:52.800> used<00:44:52.950> to<00:44:53.070> rules<00:44:53.280> lead<00:44:53.670> to 00:44:54.020 --> 00:44:54.030 align:start position:0% yes could only be used to rules lead to 00:44:54.030 --> 00:44:56.810 align:start position:0% yes could only be used to rules lead to infinity<00:44:54.660> challenges<00:44:55.170> ah<00:44:55.470> great<00:44:56.460> question 00:44:56.810 --> 00:44:56.820 align:start position:0% infinity challenges ah great question 00:44:56.820 --> 00:44:58.250 align:start position:0% infinity challenges ah great question all<00:44:57.000> these<00:44:57.150> will<00:44:57.360> see<00:44:57.540> different<00:44:57.840> challenges 00:44:58.250 --> 00:44:58.260 align:start position:0% all these will see different challenges 00:44:58.260 --> 00:45:00.770 align:start position:0% all these will see different challenges my<00:44:59.010> gut<00:44:59.310> says<00:44:59.520> no<00:44:59.550> I<00:44:59.940> don't<00:45:00.120> approve<00:45:00.420> for<00:45:00.660> you 00:45:00.770 --> 00:45:00.780 align:start position:0% my gut says no I don't approve for you 00:45:00.780 --> 00:45:02.180 align:start position:0% my gut says no I don't approve for you so<00:45:00.930> I<00:45:00.990> won't<00:45:01.110> say<00:45:01.290> that<00:45:01.320> absolutely<00:45:01.680> but<00:45:02.070> my 00:45:02.180 --> 00:45:02.190 align:start position:0% so I won't say that absolutely but my 00:45:02.190 --> 00:45:05.090 align:start position:0% so I won't say that absolutely but my gut<00:45:02.400> says<00:45:02.640> no<00:45:03.200> and<00:45:04.200> I<00:45:04.320> think<00:45:04.380> that<00:45:04.590> was<00:45:04.800> I<00:45:05.040> think 00:45:05.090 --> 00:45:05.100 align:start position:0% gut says no and I think that was I think 00:45:05.100 --> 00:45:07.280 align:start position:0% gut says no and I think that was I think that<00:45:05.310> would<00:45:05.460> hold<00:45:05.610> up<00:45:05.760> and<00:45:06.630> there's<00:45:06.840> lots<00:45:07.110> of 00:45:07.280 --> 00:45:07.290 align:start position:0% that would hold up and there's lots of 00:45:07.290 --> 00:45:10.610 align:start position:0% that would hold up and there's lots of results<00:45:07.830> so<00:45:08.040> this<00:45:08.430> is<00:45:08.550> by<00:45:08.790> the<00:45:08.850> way<00:45:08.970> I'm<00:45:09.620> very 00:45:10.610 --> 00:45:10.620 align:start position:0% results so this is by the way I'm very 00:45:10.620 --> 00:45:12.620 align:start position:0% results so this is by the way I'm very very<00:45:10.860> close<00:45:11.130> to<00:45:11.400> stole<00:45:11.730> this<00:45:11.940> from<00:45:12.420> this 00:45:12.620 --> 00:45:12.630 align:start position:0% very close to stole this from this 00:45:12.630 --> 00:45:14.660 align:start position:0% very close to stole this from this dialogical<00:45:13.200> logic<00:45:13.500> things<00:45:13.680> very<00:45:14.250> very<00:45:14.340> very 00:45:14.660 --> 00:45:14.670 align:start position:0% dialogical logic things very very very 00:45:14.670 --> 00:45:16.730 align:start position:0% dialogical logic things very very very simplified<00:45:14.940> logical<00:45:15.690> logic<00:45:16.020> and<00:45:16.350> the 00:45:16.730 --> 00:45:16.740 align:start position:0% simplified logical logic and the 00:45:16.740 --> 00:45:18.080 align:start position:0% simplified logical logic and the biological<00:45:17.130> logic<00:45:17.610> there<00:45:17.730> are<00:45:17.820> lots<00:45:18.000> of 00:45:18.080 --> 00:45:18.090 align:start position:0% biological logic there are lots of 00:45:18.090 --> 00:45:21.080 align:start position:0% biological logic there are lots of results<00:45:18.510> that<00:45:18.660> say<00:45:18.810> that<00:45:19.050> a<00:45:19.790> shrimp<00:45:20.790> I<00:45:20.880> sub 00:45:21.080 --> 00:45:21.090 align:start position:0% results that say that a shrimp I sub 00:45:21.090 --> 00:45:22.550 align:start position:0% results that say that a shrimp I sub antics<00:45:21.360> that<00:45:21.480> are<00:45:21.570> very<00:45:21.870> similar<00:45:22.230> to<00:45:22.350> the 00:45:22.550 --> 00:45:22.560 align:start position:0% antics that are very similar to the 00:45:22.560 --> 00:45:24.110 align:start position:0% antics that are very similar to the structure<00:45:22.830> and<00:45:22.920> a<00:45:23.040> few<00:45:23.280> differences<00:45:23.640> very 00:45:24.110 --> 00:45:24.120 align:start position:0% structure and a few differences very 00:45:24.120 --> 00:45:26.480 align:start position:0% structure and a few differences very similar<00:45:24.510> exactly<00:45:25.410> correspond<00:45:26.040> to<00:45:26.190> things 00:45:26.480 --> 00:45:26.490 align:start position:0% similar exactly correspond to things 00:45:26.490 --> 00:45:28.550 align:start position:0% similar exactly correspond to things like<00:45:26.550> classical<00:45:27.480> logic<00:45:27.630> there's<00:45:28.320> another 00:45:28.550 --> 00:45:28.560 align:start position:0% like classical logic there's another 00:45:28.560 --> 00:45:29.540 align:start position:0% like classical logic there's another version<00:45:28.800> that<00:45:29.040> corresponds<00:45:29.460> to 00:45:29.540 --> 00:45:29.550 align:start position:0% version that corresponds to 00:45:29.550 --> 00:45:31.340 align:start position:0% version that corresponds to intuitionistic<00:45:30.090> logic<00:45:30.360> there's<00:45:31.140> no<00:45:31.260> that 00:45:31.340 --> 00:45:31.350 align:start position:0% intuitionistic logic there's no that 00:45:31.350 --> 00:45:32.840 align:start position:0% intuitionistic logic there's no that corresponds<00:45:31.830> to<00:45:31.920> linear<00:45:32.280> logic<00:45:32.670> and<00:45:32.790> all 00:45:32.840 --> 00:45:32.850 align:start position:0% corresponds to linear logic and all 00:45:32.850 --> 00:45:34.220 align:start position:0% corresponds to linear logic and all these<00:45:33.000> other<00:45:33.210> in<00:45:33.360> bubble<00:45:33.630> I<00:45:33.780> think<00:45:34.110> there's 00:45:34.220 --> 00:45:34.230 align:start position:0% these other in bubble I think there's 00:45:34.230 --> 00:45:35.690 align:start position:0% these other in bubble I think there's one<00:45:34.350> for<00:45:34.470> you<00:45:34.560> dependent<00:45:35.070> types<00:45:35.250> because 00:45:35.690 --> 00:45:35.700 align:start position:0% one for you dependent types because 00:45:35.700 --> 00:45:36.170 align:start position:0% one for you dependent types because gravity 00:45:36.170 --> 00:45:36.180 align:start position:0% gravity 00:45:36.180 --> 00:45:38.730 align:start position:0% gravity types<00:45:36.510> are<00:45:36.720> also<00:45:36.870> logic<00:45:37.470> time 00:45:38.730 --> 00:45:38.740 align:start position:0% types are also logic time 00:45:38.740 --> 00:45:40.710 align:start position:0% types are also logic time but<00:45:39.010> I<00:45:39.430> believe<00:45:40.210> that<00:45:40.240> there<00:45:40.480> would<00:45:40.570> be<00:45:40.599> a 00:45:40.710 --> 00:45:40.720 align:start position:0% but I believe that there would be a 00:45:40.720 --> 00:45:41.970 align:start position:0% but I believe that there would be a result<00:45:40.930> I<00:45:41.079> would<00:45:41.200> say<00:45:41.290> this<00:45:41.440> rule<00:45:41.619> introduced 00:45:41.970 --> 00:45:41.980 align:start position:0% result I would say this rule introduced 00:45:41.980 --> 00:45:43.980 align:start position:0% result I would say this rule introduced and<00:45:42.280> there<00:45:42.400> would<00:45:42.520> be<00:45:42.550> a<00:45:42.670> mention<00:45:43.270> and<00:45:43.839> when 00:45:43.980 --> 00:45:43.990 align:start position:0% and there would be a mention and when 00:45:43.990 --> 00:45:45.000 align:start position:0% and there would be a mention and when you<00:45:44.050> think<00:45:44.200> about<00:45:44.290> it<00:45:44.530> they<00:45:44.650> kind<00:45:44.859> of<00:45:44.890> make 00:45:45.000 --> 00:45:45.010 align:start position:0% you think about it they kind of make 00:45:45.010 --> 00:45:46.290 align:start position:0% you think about it they kind of make sense<00:45:45.250> these<00:45:45.609> things<00:45:45.670> are<00:45:45.940> sort<00:45:46.089> of<00:45:46.119> getting 00:45:46.290 --> 00:45:46.300 align:start position:0% sense these things are sort of getting 00:45:46.300 --> 00:45:47.760 align:start position:0% sense these things are sort of getting smaller<00:45:46.660> and<00:45:46.810> I<00:45:46.869> don't<00:45:47.079> see<00:45:47.320> any<00:45:47.410> place<00:45:47.589> where 00:45:47.760 --> 00:45:47.770 align:start position:0% smaller and I don't see any place where 00:45:47.770 --> 00:45:55.550 align:start position:0% smaller and I don't see any place where we<00:45:47.829> would<00:45:48.040> start<00:45:48.250> looping<00:45:48.550> through<00:45:48.970> anything 00:45:55.550 --> 00:45:55.560 align:start position:0% 00:45:55.560 --> 00:45:58.099 align:start position:0% sorry<00:45:56.560> could<00:45:56.680> you<00:45:56.710> speak<00:45:56.859> up<00:45:56.980> over<00:45:57.220> it<00:45:57.760> sorry 00:45:58.099 --> 00:45:58.109 align:start position:0% sorry could you speak up over it sorry 00:45:58.109 --> 00:46:04.940 align:start position:0% sorry could you speak up over it sorry new<00:45:59.310> conditions<00:46:00.390> need<00:46:01.390> to<00:46:01.480> thank<00:46:01.630> wait<00:46:01.810> they 00:46:04.940 --> 00:46:04.950 align:start position:0% 00:46:04.950 --> 00:46:09.569 align:start position:0% so<00:46:05.950> exists<00:46:06.490> turns<00:46:07.450> into<00:46:07.599> a<00:46:07.690> for<00:46:07.930> all<00:46:08.550> when<00:46:09.550> a 00:46:09.569 --> 00:46:09.579 align:start position:0% so exists turns into a for all when a 00:46:09.579 --> 00:46:11.819 align:start position:0% so exists turns into a for all when a floor<00:46:09.910> off<00:46:10.150> is<00:46:10.420> not<00:46:10.599> turning<00:46:10.900> to<00:46:10.990> exist<00:46:11.380> of 00:46:11.819 --> 00:46:11.829 align:start position:0% floor off is not turning to exist of 00:46:11.829 --> 00:46:13.589 align:start position:0% floor off is not turning to exist of world<00:46:12.160> just<00:46:12.430> gets<00:46:12.550> rid<00:46:12.760> of<00:46:12.820> the<00:46:12.940> four<00:46:13.150> ball<00:46:13.300> and 00:46:13.589 --> 00:46:13.599 align:start position:0% world just gets rid of the four ball and 00:46:13.599 --> 00:46:17.430 align:start position:0% world just gets rid of the four ball and puts<00:46:13.960> it<00:46:14.050> not<00:46:14.230> in<00:46:14.440> front<00:46:15.270> right<00:46:16.270> so<00:46:16.690> so<00:46:16.990> so<00:46:17.230> so 00:46:17.430 --> 00:46:17.440 align:start position:0% puts it not in front right so so so so 00:46:17.440 --> 00:46:19.710 align:start position:0% puts it not in front right so so so so so<00:46:17.740> maybe<00:46:18.250> make<00:46:18.609> I'll<00:46:18.760> just<00:46:18.910> do<00:46:19.089> a<00:46:19.119> profession 00:46:19.710 --> 00:46:19.720 align:start position:0% so maybe make I'll just do a profession 00:46:19.720 --> 00:46:21.630 align:start position:0% so maybe make I'll just do a profession out<00:46:19.810> okay<00:46:20.230> so<00:46:20.740> let's<00:46:20.950> say<00:46:21.099> someone<00:46:21.430> says 00:46:21.630 --> 00:46:21.640 align:start position:0% out okay so let's say someone says 00:46:21.640 --> 00:46:25.980 align:start position:0% out okay so let's say someone says exists<00:46:22.630> X<00:46:23.940> impacts<00:46:24.940> and<00:46:25.300> such<00:46:25.450> that<00:46:25.690> few 00:46:25.980 --> 00:46:25.990 align:start position:0% exists X impacts and such that few 00:46:25.990 --> 00:46:30.480 align:start position:0% exists X impacts and such that few that's<00:46:27.270> okay<00:46:28.349> and<00:46:29.349> let's<00:46:29.530> say<00:46:29.710> let's<00:46:29.890> say<00:46:30.130> it 00:46:30.480 --> 00:46:30.490 align:start position:0% that's okay and let's say let's say it 00:46:30.490 --> 00:46:33.089 align:start position:0% that's okay and let's say let's say it says<00:46:31.150> this<00:46:31.329> and<00:46:31.570> the<00:46:32.500> next<00:46:32.710> thing<00:46:32.829> we<00:46:32.950> would 00:46:33.089 --> 00:46:33.099 align:start position:0% says this and the next thing we would 00:46:33.099 --> 00:46:37.710 align:start position:0% says this and the next thing we would have<00:46:33.250> you<00:46:33.849> would<00:46:33.910> have<00:46:33.970> be<00:46:34.359> same<00:46:35.290> for<00:46:36.220> all<00:46:36.720> X 00:46:37.710 --> 00:46:37.720 align:start position:0% have you would have be same for all X 00:46:37.720 --> 00:46:43.559 align:start position:0% have you would have be same for all X and<00:46:38.020> X<00:46:38.820> you're<00:46:39.820> next<00:46:40.119> and<00:46:41.550> I<00:46:42.550> knew<00:46:42.819> that<00:46:42.849> a<00:46:43.030> said 00:46:43.559 --> 00:46:43.569 align:start position:0% and X you're next and I knew that a said 00:46:43.569 --> 00:46:45.990 align:start position:0% and X you're next and I knew that a said again<00:46:43.869> they<00:46:44.470> would<00:46:44.619> pay<00:46:44.770> particular<00:46:45.190> team<00:46:45.460> and 00:46:45.990 --> 00:46:46.000 align:start position:0% again they would pay particular team and 00:46:46.000 --> 00:46:51.570 align:start position:0% again they would pay particular team and I<00:46:46.270> would<00:46:46.329> say<00:46:46.599> not<00:46:46.869> not<00:46:47.700> of<00:46:48.700> tuna 00:46:51.570 --> 00:46:51.580 align:start position:0% 00:46:51.580 --> 00:46:54.840 align:start position:0% okay<00:46:52.360> the<00:46:52.420> particular<00:46:53.020> images<00:46:53.500> yeah<00:46:54.400> so<00:46:54.700> they 00:46:54.840 --> 00:46:54.850 align:start position:0% okay the particular images yeah so they 00:46:54.850 --> 00:46:56.610 align:start position:0% okay the particular images yeah so they so<00:46:55.060> the<00:46:55.180> for<00:46:55.600> all<00:46:55.750> doesn't<00:46:56.080> look<00:46:56.200> back<00:46:56.350> you<00:46:56.500> to 00:46:56.610 --> 00:46:56.620 align:start position:0% so the for all doesn't look back you to 00:46:56.620 --> 00:46:58.710 align:start position:0% so the for all doesn't look back you to exist<00:46:56.950> so<00:46:57.370> we're<00:46:57.520> okay<00:46:57.790> we're<00:46:58.210> good<00:46:58.390> we're 00:46:58.710 --> 00:46:58.720 align:start position:0% exist so we're okay we're good we're 00:46:58.720 --> 00:46:58.890 align:start position:0% exist so we're okay we're good we're good 00:46:58.890 --> 00:46:58.900 align:start position:0% good 00:46:58.900 --> 00:47:05.470 align:start position:0% good no<00:46:59.200> internal<00:46:59.560> loops<00:46:59.800> as<00:47:00.010> far<00:47:00.190> as<00:47:00.280> I<00:47:00.400> can<00:47:00.460> see 00:47:05.470 --> 00:47:05.480 align:start position:0% 00:47:05.480 --> 00:47:13.640 align:start position:0% which<00:47:06.800> the<00:47:07.800> PT<00:47:08.490> is<00:47:10.850> not<00:47:11.850> DT 00:47:13.640 --> 00:47:13.650 align:start position:0% which the PT is not DT 00:47:13.650 --> 00:47:17.269 align:start position:0% which the PT is not DT than<00:47:14.250> us<00:47:14.760> so<00:47:15.450> the<00:47:15.569> middle<00:47:15.750> one<00:47:15.839> says<00:47:16.349> let<00:47:17.160> me 00:47:17.269 --> 00:47:17.279 align:start position:0% than us so the middle one says let me 00:47:17.279 --> 00:47:18.380 align:start position:0% than us so the middle one says let me just<00:47:17.609> read<00:47:17.760> this<00:47:17.789> off 00:47:18.380 --> 00:47:18.390 align:start position:0% just read this off 00:47:18.390 --> 00:47:24.529 align:start position:0% just read this off he<00:47:18.990> says<00:47:19.470> a<00:47:21.140> says<00:47:22.789> there<00:47:23.789> was<00:47:23.910> a<00:47:23.940> day<00:47:24.150> last<00:47:24.390> year 00:47:24.529 --> 00:47:24.539 align:start position:0% he says a says there was a day last year 00:47:24.539 --> 00:47:29.089 align:start position:0% he says a says there was a day last year such<00:47:25.410> that<00:47:25.619> it<00:47:25.710> rained<00:47:26.390> B<00:47:27.390> says<00:47:27.779> for<00:47:28.589> all<00:47:28.770> days 00:47:29.089 --> 00:47:29.099 align:start position:0% such that it rained B says for all days 00:47:29.099 --> 00:47:33.920 align:start position:0% such that it rained B says for all days last<00:47:29.400> year<00:47:29.549> it<00:47:30.150> -<00:47:30.299> not<00:47:30.480> great<00:47:30.770> day<00:47:31.770> says<00:47:32.720> it<00:47:33.720> did 00:47:33.920 --> 00:47:33.930 align:start position:0% last year it - not great day says it did 00:47:33.930 --> 00:47:37.099 align:start position:0% last year it - not great day says it did not<00:47:34.109> not<00:47:34.619> rain<00:47:35.010> on<00:47:35.690> January<00:47:36.690> 12th<00:47:36.960> of<00:47:37.049> last 00:47:37.099 --> 00:47:37.109 align:start position:0% not not rain on January 12th of last 00:47:37.109 --> 00:47:40.279 align:start position:0% not not rain on January 12th of last year<00:47:38.180> okay<00:47:39.180> the<00:47:39.359> person<00:47:39.539> that<00:47:39.720> not<00:47:39.839> not<00:47:40.020> will 00:47:40.279 --> 00:47:40.289 align:start position:0% year okay the person that not not will 00:47:40.289 --> 00:47:42.170 align:start position:0% year okay the person that not not will eventually<00:47:40.680> resolve<00:47:40.980> in<00:47:41.160> the<00:47:41.250> B<00:47:41.400> st.<00:47:41.640> not<00:47:41.849> Pete 00:47:42.170 --> 00:47:42.180 align:start position:0% eventually resolve in the B st. not Pete 00:47:42.180 --> 00:47:44.779 align:start position:0% eventually resolve in the B st. not Pete and<00:47:42.450> then<00:47:42.750> a<00:47:42.839> sink<00:47:43.170> as<00:47:43.529> we<00:47:43.950> respect<00:47:44.369> it<00:47:44.430> not<00:47:44.609> not 00:47:44.779 --> 00:47:44.789 align:start position:0% and then a sink as we respect it not not 00:47:44.789 --> 00:47:51.559 align:start position:0% and then a sink as we respect it not not reduces<00:47:45.270> to<00:47:45.510> Oh 00:47:51.559 --> 00:47:51.569 align:start position:0% 00:47:51.569 --> 00:47:55.279 align:start position:0% screen<00:47:52.470> height<00:47:52.940> other<00:47:53.940> questions<00:47:54.270> like<00:47:54.420> this 00:47:55.279 --> 00:47:55.289 align:start position:0% screen height other questions like this 00:47:55.289 --> 00:47:58.430 align:start position:0% screen height other questions like this the<00:47:56.220> challenge<00:47:56.640> game<00:47:57.029> below<00:47:57.420> YouTube<00:47:58.079> and 00:47:58.430 --> 00:47:58.440 align:start position:0% the challenge game below YouTube and 00:47:58.440 --> 00:48:01.039 align:start position:0% the challenge game below YouTube and attracts<00:47:59.059> like<00:48:00.059> brings<00:48:00.359> I<00:48:00.480> believe<00:48:00.720> someone 00:48:01.039 --> 00:48:01.049 align:start position:0% attracts like brings I believe someone 00:48:01.049 --> 00:48:03.799 align:start position:0% attracts like brings I believe someone says<00:48:01.380> that<00:48:01.619> or<00:48:01.829> all<00:48:02.039> previous<00:48:02.700> blogs<00:48:03.059> the 00:48:03.799 --> 00:48:03.809 align:start position:0% says that or all previous blogs the 00:48:03.809 --> 00:48:04.950 align:start position:0% says that or all previous blogs the statement<00:48:04.319> April 00:48:04.950 --> 00:48:04.960 align:start position:0% statement April 00:48:04.960 --> 00:48:07.410 align:start position:0% statement April and<00:48:05.290> then<00:48:05.470> the<00:48:06.339> other<00:48:06.460> guy<00:48:06.700> said<00:48:07.000> oh<00:48:07.240> it 00:48:07.410 --> 00:48:07.420 align:start position:0% and then the other guy said oh it 00:48:07.420 --> 00:48:10.260 align:start position:0% and then the other guy said oh it doesn't<00:48:07.599> hold<00:48:07.869> or<00:48:08.170> below<00:48:08.770> zero<00:48:09.180> and<00:48:10.180> they 00:48:10.260 --> 00:48:10.270 align:start position:0% doesn't hold or below zero and they 00:48:10.270 --> 00:48:12.030 align:start position:0% doesn't hold or below zero and they never<00:48:10.420> guy<00:48:10.690> said<00:48:10.930> no<00:48:11.170> it<00:48:11.320> closed<00:48:11.530> for<00:48:11.830> well 00:48:12.030 --> 00:48:12.040 align:start position:0% never guy said no it closed for well 00:48:12.040 --> 00:48:16.230 align:start position:0% never guy said no it closed for well zero<00:48:12.369> but<00:48:14.040> the<00:48:15.040> other<00:48:15.250> guy<00:48:15.520> said<00:48:15.730> oh<00:48:15.849> I 00:48:16.230 --> 00:48:16.240 align:start position:0% zero but the other guy said oh I 00:48:16.240 --> 00:48:18.570 align:start position:0% zero but the other guy said oh I actually<00:48:16.630> meant<00:48:17.050> doesn't<00:48:17.950> work<00:48:18.070> for<00:48:18.280> block 00:48:18.570 --> 00:48:18.580 align:start position:0% actually meant doesn't work for block 00:48:18.580 --> 00:48:22.170 align:start position:0% actually meant doesn't work for block one<00:48:19.170> that's<00:48:20.170> great<00:48:21.040> questions<00:48:21.490> so<00:48:21.609> just<00:48:22.089> to 00:48:22.170 --> 00:48:22.180 align:start position:0% one that's great questions so just to 00:48:22.180 --> 00:48:25.140 align:start position:0% one that's great questions so just to rehash<00:48:22.720> that<00:48:23.020> one<00:48:23.200> can<00:48:23.349> hear<00:48:23.730> the<00:48:24.730> question<00:48:25.030> is 00:48:25.140 --> 00:48:25.150 align:start position:0% rehash that one can hear the question is 00:48:25.150 --> 00:48:27.120 align:start position:0% rehash that one can hear the question is do<00:48:25.390> we<00:48:25.420> allow<00:48:25.720> a<00:48:26.020> sort<00:48:26.410> of<00:48:26.440> replays<00:48:26.770> do<00:48:27.010> we 00:48:27.120 --> 00:48:27.130 align:start position:0% do we allow a sort of replays do we 00:48:27.130 --> 00:48:29.640 align:start position:0% do we allow a sort of replays do we allow<00:48:27.310> to<00:48:27.609> be<00:48:27.849> allow<00:48:28.089> if<00:48:28.540> suddenly<00:48:28.960> maybe<00:48:29.349> some 00:48:29.640 --> 00:48:29.650 align:start position:0% allow to be allow if suddenly maybe some 00:48:29.650 --> 00:48:31.530 align:start position:0% allow to be allow if suddenly maybe some guys<00:48:29.770> those<00:48:30.010> for<00:48:30.190> all<00:48:30.280> blocks<00:48:30.580> some<00:48:31.240> guy<00:48:31.359> says 00:48:31.530 --> 00:48:31.540 align:start position:0% guys those for all blocks some guy says 00:48:31.540 --> 00:48:33.270 align:start position:0% guys those for all blocks some guy says not<00:48:31.780> for<00:48:31.960> this<00:48:32.080> block<00:48:32.349> but<00:48:32.619> really<00:48:32.920> it<00:48:33.040> was<00:48:33.130> not 00:48:33.270 --> 00:48:33.280 align:start position:0% not for this block but really it was not 00:48:33.280 --> 00:48:35.010 align:start position:0% not for this block but really it was not through<00:48:33.490> this<00:48:33.609> block<00:48:33.849> and<00:48:34.119> if<00:48:34.510> we<00:48:34.720> went<00:48:34.930> back 00:48:35.010 --> 00:48:35.020 align:start position:0% through this block and if we went back 00:48:35.020 --> 00:48:36.300 align:start position:0% through this block and if we went back through<00:48:35.349> this<00:48:35.440> block<00:48:35.680> we<00:48:35.859> might<00:48:36.010> get<00:48:36.160> stuck 00:48:36.300 --> 00:48:36.310 align:start position:0% through this block we might get stuck 00:48:36.310 --> 00:48:37.920 align:start position:0% through this block we might get stuck down<00:48:36.580> this<00:48:36.760> wrong<00:48:37.089> trail<00:48:37.390> when<00:48:37.660> the<00:48:37.750> right 00:48:37.920 --> 00:48:37.930 align:start position:0% down this wrong trail when the right 00:48:37.930 --> 00:48:40.079 align:start position:0% down this wrong trail when the right trail<00:48:38.170> is<00:48:38.320> over<00:48:38.500> here<00:48:38.710> so<00:48:39.310> we<00:48:39.490> have<00:48:39.580> a<00:48:39.609> contract 00:48:40.079 --> 00:48:40.089 align:start position:0% trail is over here so we have a contract 00:48:40.089 --> 00:48:42.630 align:start position:0% trail is over here so we have a contract design<00:48:40.420> that<00:48:41.050> basically<00:48:41.650> makes<00:48:41.980> it<00:48:42.130> so<00:48:42.250> that<00:48:42.430> a 00:48:42.630 --> 00:48:42.640 align:start position:0% design that basically makes it so that a 00:48:42.640 --> 00:48:45.210 align:start position:0% design that basically makes it so that a and<00:48:42.670> B<00:48:43.060> B's<00:48:43.300> prove<00:48:43.570> apart<00:48:44.050> really<00:48:44.260> piano<00:48:44.800> the 00:48:45.210 --> 00:48:45.220 align:start position:0% and B B's prove apart really piano the 00:48:45.220 --> 00:48:47.280 align:start position:0% and B B's prove apart really piano the Rural<00:48:45.550> Employment<00:48:45.700> are<00:48:46.480> like<00:48:46.810> these<00:48:47.020> sort<00:48:47.230> of 00:48:47.280 --> 00:48:47.290 align:start position:0% Rural Employment are like these sort of 00:48:47.290 --> 00:48:49.680 align:start position:0% Rural Employment are like these sort of imaginary<00:48:47.920> players<00:48:48.250> we<00:48:48.760> replace<00:48:49.150> that<00:48:49.180> which 00:48:49.680 --> 00:48:49.690 align:start position:0% imaginary players we replace that which 00:48:49.690 --> 00:48:51.630 align:start position:0% imaginary players we replace that which was<00:48:50.050> one<00:48:50.320> in<00:48:50.530> which<00:48:50.650> anybody<00:48:51.010> can<00:48:51.250> sort<00:48:51.609> of 00:48:51.630 --> 00:48:51.640 align:start position:0% was one in which anybody can sort of 00:48:51.640 --> 00:48:55.200 align:start position:0% was one in which anybody can sort of play<00:48:51.820> on<00:48:52.240> behalf<00:48:52.630> of<00:48:53.200> piano<00:48:53.619> so<00:48:54.250> we<00:48:54.490> go<00:48:54.640> is<00:48:54.970> from 00:48:55.200 --> 00:48:55.210 align:start position:0% play on behalf of piano so we go is from 00:48:55.210 --> 00:48:57.930 align:start position:0% play on behalf of piano so we go is from lunch<00:48:55.450> string<00:48:55.780> of<00:48:55.930> plays<00:48:56.140> to<00:48:56.800> trees<00:48:57.220> of<00:48:57.700> plays 00:48:57.930 --> 00:48:57.940 align:start position:0% lunch string of plays to trees of plays 00:48:57.940 --> 00:48:59.849 align:start position:0% lunch string of plays to trees of plays and<00:48:57.970> so<00:48:58.359> this<00:48:58.480> allows<00:48:58.690> you<00:48:58.900> all<00:48:59.320> 20<00:48:59.619> people<00:48:59.800> to 00:48:59.849 --> 00:48:59.859 align:start position:0% and so this allows you all 20 people to 00:48:59.859 --> 00:49:01.109 align:start position:0% and so this allows you all 20 people to these<00:48:59.950> people<00:49:00.250> all<00:49:00.310> the<00:49:00.400> blocks<00:49:00.730> all<00:49:01.000> in 00:49:01.109 --> 00:49:01.119 align:start position:0% these people all the blocks all in 00:49:01.119 --> 00:49:03.150 align:start position:0% these people all the blocks all in parallel<00:49:01.570> and<00:49:02.260> it<00:49:02.410> works<00:49:02.589> out<00:49:02.740> to<00:49:02.770> a<00:49:02.950> great 00:49:03.150 --> 00:49:03.160 align:start position:0% parallel and it works out to a great 00:49:03.160 --> 00:49:07.950 align:start position:0% parallel and it works out to a great question<00:49:03.460> great<00:49:03.640> question<00:49:04.650> others 00:49:07.950 --> 00:49:07.960 align:start position:0% 00:49:07.960 --> 00:49:13.350 align:start position:0% cool<00:49:08.640> okay<00:49:09.640> so<00:49:11.220> with<00:49:12.220> that<00:49:12.250> there's<00:49:12.760> one<00:49:13.120> last 00:49:13.350 --> 00:49:13.360 align:start position:0% cool okay so with that there's one last 00:49:13.360 --> 00:49:14.760 align:start position:0% cool okay so with that there's one last thing<00:49:13.540> to<00:49:13.660> cover<00:49:13.930> which<00:49:14.320> is<00:49:14.440> what<00:49:14.560> the<00:49:14.650> heck 00:49:14.760 --> 00:49:14.770 align:start position:0% thing to cover which is what the heck 00:49:14.770 --> 00:49:16.230 align:start position:0% thing to cover which is what the heck happens<00:49:15.130> at<00:49:15.220> the<00:49:15.310> end<00:49:15.430> of<00:49:15.490> this<00:49:15.550> game<00:49:15.760> right 00:49:16.230 --> 00:49:16.240 align:start position:0% happens at the end of this game right 00:49:16.240 --> 00:49:17.310 align:start position:0% happens at the end of this game right that's<00:49:16.450> the<00:49:16.630> one<00:49:16.750> thing<00:49:16.960> that<00:49:17.080> we<00:49:17.170> haven't 00:49:17.310 --> 00:49:17.320 align:start position:0% that's the one thing that we haven't 00:49:17.320 --> 00:49:19.140 align:start position:0% that's the one thing that we haven't gone<00:49:17.410> over<00:49:17.470> what<00:49:17.860> the<00:49:18.010> hell's<00:49:18.220> going<00:49:18.520> on<00:49:18.700> as 00:49:19.140 --> 00:49:19.150 align:start position:0% gone over what the hell's going on as 00:49:19.150 --> 00:49:22.260 align:start position:0% gone over what the hell's going on as the<00:49:19.390> end<00:49:19.630> game<00:49:20.230> outcomes<00:49:21.000> so<00:49:22.000> the<00:49:22.090> game's 00:49:22.260 --> 00:49:22.270 align:start position:0% the end game outcomes so the game's 00:49:22.270 --> 00:49:23.400 align:start position:0% the end game outcomes so the game's gonna<00:49:22.420> add<00:49:22.630> when<00:49:22.870> we<00:49:22.990> have<00:49:23.080> an<00:49:23.200> atomic 00:49:23.400 --> 00:49:23.410 align:start position:0% gonna add when we have an atomic 00:49:23.410 --> 00:49:24.270 align:start position:0% gonna add when we have an atomic proposition 00:49:24.270 --> 00:49:24.280 align:start position:0% proposition 00:49:24.280 --> 00:49:26.760 align:start position:0% proposition so<00:49:24.520> for<00:49:24.700> example<00:49:25.090> over<00:49:25.120> here<00:49:25.540> if<00:49:26.050> we<00:49:26.230> assume<00:49:26.530> if 00:49:26.760 --> 00:49:26.770 align:start position:0% so for example over here if we assume if 00:49:26.770 --> 00:49:28.950 align:start position:0% so for example over here if we assume if the<00:49:26.950> P<00:49:27.190> infinitive<00:49:27.670> hog<00:49:27.820> proposition<00:49:28.420> the 00:49:28.950 --> 00:49:28.960 align:start position:0% the P infinitive hog proposition the 00:49:28.960 --> 00:49:31.020 align:start position:0% the P infinitive hog proposition the next<00:49:29.200> thing<00:49:29.320> we<00:49:29.440> get<00:49:29.650> here<00:49:29.890> was<00:49:30.130> be<00:49:30.370> saying<00:49:30.700> not 00:49:31.020 --> 00:49:31.030 align:start position:0% next thing we get here was be saying not 00:49:31.030 --> 00:49:34.620 align:start position:0% next thing we get here was be saying not P<00:49:31.440> of<00:49:32.440> this<00:49:32.680> thing<00:49:32.920> right<00:49:33.760> and<00:49:34.030> then<00:49:34.180> we<00:49:34.300> have<00:49:34.330> a 00:49:34.620 --> 00:49:34.630 align:start position:0% P of this thing right and then we have a 00:49:34.630 --> 00:49:37.500 align:start position:0% P of this thing right and then we have a saying<00:49:35.020> P<00:49:35.760> all<00:49:36.760> right<00:49:36.820> and<00:49:37.120> now<00:49:37.210> we<00:49:37.270> don't<00:49:37.390> know 00:49:37.500 --> 00:49:37.510 align:start position:0% saying P all right and now we don't know 00:49:37.510 --> 00:49:38.520 align:start position:0% saying P all right and now we don't know how<00:49:37.570> to<00:49:37.600> reduce<00:49:37.870> it<00:49:38.020> any<00:49:38.080> further 00:49:38.520 --> 00:49:38.530 align:start position:0% how to reduce it any further 00:49:38.530 --> 00:49:40.620 align:start position:0% how to reduce it any further okay<00:49:38.920> so<00:49:39.700> when<00:49:39.850> we<00:49:39.880> can't<00:49:40.150> reduce<00:49:40.270> them<00:49:40.480> any 00:49:40.620 --> 00:49:40.630 align:start position:0% okay so when we can't reduce them any 00:49:40.630 --> 00:49:42.000 align:start position:0% okay so when we can't reduce them any further<00:49:40.840> this<00:49:41.200> is<00:49:41.260> what<00:49:41.500> the<00:49:41.590> game<00:49:41.710> is<00:49:41.770> either 00:49:42.000 --> 00:49:42.010 align:start position:0% further this is what the game is either 00:49:42.010 --> 00:49:45.120 align:start position:0% further this is what the game is either won<00:49:42.340> or<00:49:42.370> lost<00:49:42.700> okay<00:49:43.630> and<00:49:44.110> it<00:49:44.230> via<00:49:44.530> the<00:49:44.740> outcomes 00:49:45.120 --> 00:49:45.130 align:start position:0% won or lost okay and it via the outcomes 00:49:45.130 --> 00:49:47.130 align:start position:0% won or lost okay and it via the outcomes that<00:49:45.280> you<00:49:45.460> assign<00:49:45.760> is<00:49:46.060> quite<00:49:46.390> as<00:49:46.600> you'd<00:49:46.780> expect 00:49:47.130 --> 00:49:47.140 align:start position:0% that you assign is quite as you'd expect 00:49:47.140 --> 00:49:50.100 align:start position:0% that you assign is quite as you'd expect if<00:49:47.980> a<00:49:48.280> is<00:49:48.550> true<00:49:48.600> so<00:49:49.600> let's<00:49:49.780> say<00:49:49.870> the<00:49:49.960> game 00:49:50.100 --> 00:49:50.110 align:start position:0% if a is true so let's say the game 00:49:50.110 --> 00:49:51.660 align:start position:0% if a is true so let's say the game states<00:49:50.380> of<00:49:50.560> the<00:49:50.650> economy<00:49:50.770> we<00:49:51.280> didn't<00:49:51.460> say<00:49:51.550> this 00:49:51.660 --> 00:49:51.670 align:start position:0% states of the economy we didn't say this 00:49:51.670 --> 00:49:53.700 align:start position:0% states of the economy we didn't say this ba<00:49:51.940> right<00:49:52.450> so<00:49:52.600> again<00:49:52.720> because<00:49:53.230> one<00:49:53.440> player 00:49:53.700 --> 00:49:53.710 align:start position:0% ba right so again because one player 00:49:53.710 --> 00:49:55.140 align:start position:0% ba right so again because one player either<00:49:53.980> to<00:49:54.190> prove<00:49:54.370> the<00:49:54.490> opponent<00:49:54.910> we<00:49:54.970> don't 00:49:55.140 --> 00:49:55.150 align:start position:0% either to prove the opponent we don't 00:49:55.150 --> 00:49:58.500 align:start position:0% either to prove the opponent we don't know<00:49:55.210> much<00:49:55.360> but<00:49:55.750> not<00:49:56.740> the<00:49:56.890> same<00:49:57.100> as<00:49:57.400> aim<00:49:57.580> and 00:49:58.500 --> 00:49:58.510 align:start position:0% know much but not the same as aim and 00:49:58.510 --> 00:50:00.120 align:start position:0% know much but not the same as aim and sum<00:49:58.750> of<00:49:58.810> atomic<00:49:59.290> proposition<00:49:59.440> names<00:49:59.920> so<00:50:00.070> I 00:50:00.120 --> 00:50:00.130 align:start position:0% sum of atomic proposition names so I 00:50:00.130 --> 00:50:03.030 align:start position:0% sum of atomic proposition names so I have<00:50:00.220> a<00:50:00.250> little<00:50:00.520> aid<00:50:00.790> for<00:50:01.120> this<00:50:01.180> atom<00:50:01.660> okay<00:50:02.320> so 00:50:03.030 --> 00:50:03.040 align:start position:0% have a little aid for this atom okay so 00:50:03.040 --> 00:50:07.860 align:start position:0% have a little aid for this atom okay so the<00:50:03.220> game<00:50:05.130> then<00:50:06.130> if<00:50:06.400> a<00:50:06.670> is<00:50:06.970> true<00:50:07.000> right<00:50:07.600> because 00:50:07.860 --> 00:50:07.870 align:start position:0% the game then if a is true right because 00:50:07.870 --> 00:50:09.570 align:start position:0% the game then if a is true right because again<00:50:08.080> atomic<00:50:08.500> propositions<00:50:08.950> have<00:50:09.190> a<00:50:09.220> truth 00:50:09.570 --> 00:50:09.580 align:start position:0% again atomic propositions have a truth 00:50:09.580 --> 00:50:11.490 align:start position:0% again atomic propositions have a truth value<00:50:09.610> associated<00:50:10.120> with<00:50:10.510> them<00:50:10.660> if<00:50:11.080> a<00:50:11.320> is<00:50:11.470> true 00:50:11.490 --> 00:50:11.500 align:start position:0% value associated with them if a is true 00:50:11.500 --> 00:50:14.400 align:start position:0% value associated with them if a is true then<00:50:12.040> P<00:50:12.790> wins<00:50:13.030> right<00:50:13.510> therefore<00:50:13.780> in<00:50:14.050> business 00:50:14.400 --> 00:50:14.410 align:start position:0% then P wins right therefore in business 00:50:14.410 --> 00:50:18.090 align:start position:0% then P wins right therefore in business but<00:50:15.130> really<00:50:15.460> be<00:50:15.700> 10<00:50:16.240> men<00:50:16.650> right<00:50:17.650> because<00:50:17.950> if 00:50:18.090 --> 00:50:18.100 align:start position:0% but really be 10 men right because if 00:50:18.100 --> 00:50:19.500 align:start position:0% but really be 10 men right because if you<00:50:18.220> were<00:50:18.280> to<00:50:18.370> actually<00:50:18.490> play<00:50:18.880> the<00:50:18.910> game<00:50:19.060> we 00:50:19.500 --> 00:50:19.510 align:start position:0% you were to actually play the game we 00:50:19.510 --> 00:50:22.550 align:start position:0% you were to actually play the game we could<00:50:19.750> make<00:50:19.960> a<00:50:19.990> mistake<00:50:20.170> and<00:50:20.800> lose<00:50:21.310> ah 00:50:22.550 --> 00:50:22.560 align:start position:0% could make a mistake and lose ah 00:50:22.560 --> 00:50:24.390 align:start position:0% could make a mistake and lose ah absolutely<00:50:23.560> right<00:50:23.740> so<00:50:23.980> we'll<00:50:24.130> talk<00:50:24.280> about 00:50:24.390 --> 00:50:24.400 align:start position:0% absolutely right so we'll talk about 00:50:24.400 --> 00:50:26.760 align:start position:0% absolutely right so we'll talk about that<00:50:24.640> a<00:50:24.670> little<00:50:24.850> bit<00:50:25.090> more<00:50:25.240> later<00:50:25.840> but<00:50:26.200> for 00:50:26.760 --> 00:50:26.770 align:start position:0% that a little bit more later but for 00:50:26.770 --> 00:50:27.960 align:start position:0% that a little bit more later but for right<00:50:26.830> now<00:50:26.950> all<00:50:27.280> we're<00:50:27.400> going<00:50:27.490> to<00:50:27.550> be<00:50:27.640> doing<00:50:27.790> is 00:50:27.960 --> 00:50:27.970 align:start position:0% right now all we're going to be doing is 00:50:27.970 --> 00:50:29.820 align:start position:0% right now all we're going to be doing is talking<00:50:28.120> about<00:50:28.330> if<00:50:28.630> the<00:50:28.870> game<00:50:29.020> had<00:50:29.290> ended<00:50:29.710> this 00:50:29.820 --> 00:50:29.830 align:start position:0% talking about if the game had ended this 00:50:29.830 --> 00:50:30.210 align:start position:0% talking about if the game had ended this way 00:50:30.210 --> 00:50:30.220 align:start position:0% way 00:50:30.220 --> 00:50:31.200 align:start position:0% way so<00:50:30.430> what<00:50:30.580> you're<00:50:30.670> talking<00:50:30.880> about<00:50:30.910> is<00:50:31.120> the 00:50:31.200 --> 00:50:31.210 align:start position:0% so what you're talking about is the 00:50:31.210 --> 00:50:33.330 align:start position:0% so what you're talking about is the behavior<00:50:31.780> of<00:50:31.840> how<00:50:32.050> people<00:50:32.380> play<00:50:32.440> the<00:50:32.620> game<00:50:32.770> so 00:50:33.330 --> 00:50:33.340 align:start position:0% behavior of how people play the game so 00:50:33.340 --> 00:50:34.830 align:start position:0% behavior of how people play the game so if<00:50:33.430> I<00:50:33.520> say<00:50:33.700> for<00:50:33.850> all<00:50:33.940> things<00:50:34.090> last<00:50:34.360> year<00:50:34.510> I 00:50:34.830 --> 00:50:34.840 align:start position:0% if I say for all things last year I 00:50:34.840 --> 00:50:36.750 align:start position:0% if I say for all things last year I could<00:50:35.410> definitely<00:50:35.530> lose<00:50:35.950> the<00:50:36.190> pea<00:50:36.370> which<00:50:36.580> day 00:50:36.750 --> 00:50:36.760 align:start position:0% could definitely lose the pea which day 00:50:36.760 --> 00:50:38.490 align:start position:0% could definitely lose the pea which day I'll<00:50:36.850> take<00:50:37.030> if<00:50:37.180> I<00:50:37.270> pick<00:50:37.480> the<00:50:37.600> wrong<00:50:37.750> day<00:50:38.020> right 00:50:38.490 --> 00:50:38.500 align:start position:0% I'll take if I pick the wrong day right 00:50:38.500 --> 00:50:40.290 align:start position:0% I'll take if I pick the wrong day right and<00:50:38.620> this<00:50:38.740> matters<00:50:39.100> because<00:50:39.160> you<00:50:39.550> can't<00:50:40.000> if 00:50:40.290 --> 00:50:40.300 align:start position:0% and this matters because you can't if 00:50:40.300 --> 00:50:41.790 align:start position:0% and this matters because you can't if you<00:50:40.360> actually<00:50:40.720> play<00:50:41.050> the<00:50:41.230> game<00:50:41.260> between<00:50:41.560> two 00:50:41.790 --> 00:50:41.800 align:start position:0% you actually play the game between two 00:50:41.800 --> 00:50:44.430 align:start position:0% you actually play the game between two players<00:50:42.190> in<00:50:42.310> a<00:50:42.700> real<00:50:42.910> system<00:50:43.360> you<00:50:43.960> can't<00:50:44.260> go 00:50:44.430 --> 00:50:44.440 align:start position:0% players in a real system you can't go 00:50:44.440 --> 00:50:46.620 align:start position:0% players in a real system you can't go back<00:50:44.680> and<00:50:44.710> say<00:50:45.010> well<00:50:45.370> a<00:50:45.520> 1<00:50:45.820> therefore<00:50:46.270> a<00:50:46.300> must 00:50:46.620 --> 00:50:46.630 align:start position:0% back and say well a 1 therefore a must 00:50:46.630 --> 00:50:49.470 align:start position:0% back and say well a 1 therefore a must have<00:50:46.780> been<00:50:46.900> right<00:50:47.110> in<00:50:47.290> the<00:50:47.350> beginning<00:50:48.480> that's 00:50:49.470 --> 00:50:49.480 align:start position:0% have been right in the beginning that's 00:50:49.480 --> 00:50:50.160 align:start position:0% have been right in the beginning that's correct 00:50:50.160 --> 00:50:50.170 align:start position:0% correct 00:50:50.170 --> 00:50:52.350 align:start position:0% correct so<00:50:50.410> you<00:50:50.740> so<00:50:51.070> there<00:50:51.430> actually<00:50:51.520> are<00:50:51.880> layer<00:50:52.180> 2 00:50:52.350 --> 00:50:52.360 align:start position:0% so you so there actually are layer 2 00:50:52.360 --> 00:50:54.420 align:start position:0% so you so there actually are layer 2 designs<00:50:52.690> that<00:50:52.960> correspond<00:50:53.830> to<00:50:54.040> doing 00:50:54.420 --> 00:50:54.430 align:start position:0% designs that correspond to doing 00:50:54.430 --> 00:50:56.430 align:start position:0% designs that correspond to doing precisely<00:50:54.760> that<00:50:54.940> and<00:50:55.330> I<00:50:55.660> actually<00:50:55.990> think<00:50:56.290> that 00:50:56.430 --> 00:50:56.440 align:start position:0% precisely that and I actually think that 00:50:56.440 --> 00:51:00.800 align:start position:0% precisely that and I actually think that it's<00:50:56.530> a<00:50:56.590> pretty<00:50:56.740> reasonable<00:50:56.950> design<00:50:58.020> so 00:51:00.800 --> 00:51:00.810 align:start position:0% it's a pretty reasonable design so 00:51:00.810 --> 00:51:02.360 align:start position:0% it's a pretty reasonable design so it's<00:51:01.320> too<00:51:01.470> much<00:51:01.620> of<00:51:01.650> a<00:51:01.770> sight<00:51:01.950> trying<00:51:02.190> to<00:51:02.250> get 00:51:02.360 --> 00:51:02.370 align:start position:0% it's too much of a sight trying to get 00:51:02.370 --> 00:51:04.340 align:start position:0% it's too much of a sight trying to get into<00:51:02.460> that<00:51:02.610> all<00:51:02.790> now<00:51:03.030> but<00:51:03.240> there<00:51:03.540> are<00:51:03.780> cases<00:51:04.020> in 00:51:04.340 --> 00:51:04.350 align:start position:0% into that all now but there are cases in 00:51:04.350 --> 00:51:05.540 align:start position:0% into that all now but there are cases in which<00:51:04.380> maybe<00:51:04.650> you<00:51:04.800> might<00:51:05.040> want<00:51:05.220> to<00:51:05.250> be<00:51:05.340> lenient 00:51:05.540 --> 00:51:05.550 align:start position:0% which maybe you might want to be lenient 00:51:05.550 --> 00:51:07.190 align:start position:0% which maybe you might want to be lenient in<00:51:05.850> that<00:51:06.000> way<00:51:06.180> it<00:51:06.720> does<00:51:06.900> give<00:51:07.050> me<00:51:07.080> some 00:51:07.190 --> 00:51:07.200 align:start position:0% in that way it does give me some 00:51:07.200 --> 00:51:10.040 align:start position:0% in that way it does give me some advantages<00:51:07.880> but<00:51:08.880> it<00:51:08.970> is<00:51:09.180> a<00:51:09.210> good<00:51:09.390> point<00:51:09.570> I<00:51:09.870> mean 00:51:10.040 --> 00:51:10.050 align:start position:0% advantages but it is a good point I mean 00:51:10.050 --> 00:51:12.470 align:start position:0% advantages but it is a good point I mean from<00:51:10.200> a<00:51:10.320> security<00:51:10.890> standpoint<00:51:11.310> you<00:51:12.060> think<00:51:12.360> the 00:51:12.470 --> 00:51:12.480 align:start position:0% from a security standpoint you think the 00:51:12.480 --> 00:51:15.500 align:start position:0% from a security standpoint you think the fact<00:51:12.720> that<00:51:12.840> a<00:51:13.080> that<00:51:14.010> the<00:51:14.700> fact<00:51:14.940> that<00:51:15.060> they<00:51:15.240> won 00:51:15.500 --> 00:51:15.510 align:start position:0% fact that a that the fact that they won 00:51:15.510 --> 00:51:19.310 align:start position:0% fact that a that the fact that they won the<00:51:15.720> game<00:51:16.190> doesn't<00:51:17.210> establish<00:51:18.210> that<00:51:18.540> little<00:51:19.170> a 00:51:19.310 --> 00:51:19.320 align:start position:0% the game doesn't establish that little a 00:51:19.320 --> 00:51:24.470 align:start position:0% the game doesn't establish that little a was<00:51:19.680> true<00:51:20.660> in<00:51:21.660> the<00:51:21.690> beginning<00:51:23.210> right<00:51:24.210> so<00:51:24.420> you 00:51:24.470 --> 00:51:24.480 align:start position:0% was true in the beginning right so you 00:51:24.480 --> 00:51:26.150 align:start position:0% was true in the beginning right so you would<00:51:24.660> need<00:51:24.780> an<00:51:24.930> additional<00:51:25.470> argument<00:51:25.680> about 00:51:26.150 --> 00:51:26.160 align:start position:0% would need an additional argument about 00:51:26.160 --> 00:51:29.000 align:start position:0% would need an additional argument about incentives<00:51:26.810> somehow<00:51:27.810> absolutely<00:51:28.560> so<00:51:28.830> you 00:51:29.000 --> 00:51:29.010 align:start position:0% incentives somehow absolutely so you 00:51:29.010 --> 00:51:31.040 align:start position:0% incentives somehow absolutely so you would<00:51:29.190> have<00:51:29.310> to<00:51:29.400> get<00:51:29.760> to<00:51:30.060> any<00:51:30.690> kind<00:51:30.810> of 00:51:31.040 --> 00:51:31.050 align:start position:0% would have to get to any kind of 00:51:31.050 --> 00:51:32.630 align:start position:0% would have to get to any kind of conclusion<00:51:31.230> absolutely<00:51:32.220> right 00:51:32.630 --> 00:51:32.640 align:start position:0% conclusion absolutely right 00:51:32.640 --> 00:51:35.590 align:start position:0% conclusion absolutely right however<00:51:33.150> if<00:51:33.480> you<00:51:33.600> make<00:51:33.900> the<00:51:34.140> assumption<00:51:34.470> that 00:51:35.590 --> 00:51:35.600 align:start position:0% however if you make the assumption that 00:51:35.600 --> 00:51:38.180 align:start position:0% however if you make the assumption that everybody<00:51:36.600> knows<00:51:37.050> that<00:51:37.080> if<00:51:37.560> any<00:51:37.680> game<00:51:37.950> plays 00:51:38.180 --> 00:51:38.190 align:start position:0% everybody knows that if any game plays 00:51:38.190 --> 00:51:40.250 align:start position:0% everybody knows that if any game plays out<00:51:38.400> that<00:51:38.760> involves<00:51:39.360> them<00:51:39.540> in<00:51:39.690> some<00:51:39.900> way<00:51:40.080> and 00:51:40.250 --> 00:51:40.260 align:start position:0% out that involves them in some way and 00:51:40.260 --> 00:51:42.350 align:start position:0% out that involves them in some way and it's<00:51:40.440> one<00:51:40.710> than<00:51:41.040> we<00:51:41.160> assume<00:51:41.430> all<00:51:41.580> the<00:51:41.970> possible 00:51:42.350 --> 00:51:42.360 align:start position:0% it's one than we assume all the possible 00:51:42.360 --> 00:51:43.370 align:start position:0% it's one than we assume all the possible sub<00:51:42.510> games<00:51:42.720> they<00:51:42.870> could<00:51:43.020> have<00:51:43.110> been<00:51:43.170> played 00:51:43.370 --> 00:51:43.380 align:start position:0% sub games they could have been played 00:51:43.380 --> 00:51:45.590 align:start position:0% sub games they could have been played out<00:51:43.410> would<00:51:43.710> have<00:51:43.740> been<00:51:43.920> one<00:51:44.070> then<00:51:44.880> that's<00:51:45.270> okay 00:51:45.590 --> 00:51:45.600 align:start position:0% out would have been one then that's okay 00:51:45.600 --> 00:51:48.500 align:start position:0% out would have been one then that's okay so<00:51:46.100> there's<00:51:47.100> nuance<00:51:47.400> there<00:51:47.610> and<00:51:47.970> I<00:51:48.030> know<00:51:48.090> and<00:51:48.480> I 00:51:48.500 --> 00:51:48.510 align:start position:0% so there's nuance there and I know and I 00:51:48.510 --> 00:51:49.550 align:start position:0% so there's nuance there and I know and I know<00:51:48.570> that<00:51:48.660> essentially<00:51:49.050> maps<00:51:49.350> that<00:51:49.500> you 00:51:49.550 --> 00:51:49.560 align:start position:0% know that essentially maps that you 00:51:49.560 --> 00:51:50.960 align:start position:0% know that essentially maps that you can't<00:51:49.860> go<00:51:49.950> through<00:51:50.160> multiple<00:51:50.340> turns<00:51:50.820> it's 00:51:50.960 --> 00:51:50.970 align:start position:0% can't go through multiple turns it's 00:51:50.970 --> 00:51:52.970 align:start position:0% can't go through multiple turns it's only<00:51:51.060> like<00:51:51.210> really<00:51:51.930> if<00:51:52.020> a<00:51:52.110> game<00:51:52.290> was<00:51:52.470> won<00:51:52.650> all 00:51:52.970 --> 00:51:52.980 align:start position:0% only like really if a game was won all 00:51:52.980 --> 00:51:54.500 align:start position:0% only like really if a game was won all possible<00:51:53.520> challenges<00:51:53.910> would<00:51:54.060> have<00:51:54.180> been<00:51:54.300> lost 00:51:54.500 --> 00:51:54.510 align:start position:0% possible challenges would have been lost 00:51:54.510 --> 00:51:56.210 align:start position:0% possible challenges would have been lost that's<00:51:54.990> really<00:51:55.410> the<00:51:55.560> assumption<00:51:56.010> that<00:51:56.040> you 00:51:56.210 --> 00:51:56.220 align:start position:0% that's really the assumption that you 00:51:56.220 --> 00:51:57.530 align:start position:0% that's really the assumption that you can<00:51:56.400> make<00:51:56.550> that<00:51:56.970> other<00:51:57.150> letters<00:51:57.450> your 00:51:57.530 --> 00:51:57.540 align:start position:0% can make that other letters your 00:51:57.540 --> 00:51:59.360 align:start position:0% can make that other letters your protocols<00:51:57.930> make<00:51:58.110> but<00:51:58.530> it's<00:51:58.740> not<00:51:58.980> correct 00:51:59.360 --> 00:51:59.370 align:start position:0% protocols make but it's not correct 00:51:59.370 --> 00:52:02.210 align:start position:0% protocols make but it's not correct right<00:51:59.940> if<00:52:00.690> you<00:52:00.870> and<00:52:01.020> I<00:52:01.080> play<00:52:01.350> chess<00:52:01.650> and<00:52:02.010> you 00:52:02.210 --> 00:52:02.220 align:start position:0% right if you and I play chess and you 00:52:02.220 --> 00:52:08.030 align:start position:0% right if you and I play chess and you win<00:52:02.600> right<00:52:03.600> it<00:52:03.900> doesn't<00:52:04.440> mean<00:52:04.710> that<00:52:06.500> well<00:52:07.500> it 00:52:08.030 --> 00:52:08.040 align:start position:0% win right it doesn't mean that well it 00:52:08.040 --> 00:52:10.690 align:start position:0% win right it doesn't mean that well it could<00:52:08.460> it<00:52:08.730> doesn't<00:52:09.090> me<00:52:09.180> that<00:52:09.330> I<00:52:09.360> never<00:52:09.450> had<00:52:09.810> a 00:52:10.690 --> 00:52:10.700 align:start position:0% could it doesn't me that I never had a 00:52:10.700 --> 00:52:13.910 align:start position:0% could it doesn't me that I never had a sure<00:52:11.700> win<00:52:12.000> position<00:52:12.570> on<00:52:12.720> the<00:52:12.810> board<00:52:13.050> it<00:52:13.680> might 00:52:13.910 --> 00:52:13.920 align:start position:0% sure win position on the board it might 00:52:13.920 --> 00:52:16.400 align:start position:0% sure win position on the board it might be<00:52:14.130> that<00:52:14.970> I<00:52:15.330> actually<00:52:15.780> had<00:52:16.140> a<00:52:16.170> winning 00:52:16.400 --> 00:52:16.410 align:start position:0% be that I actually had a winning 00:52:16.410 --> 00:52:19.790 align:start position:0% be that I actually had a winning position<00:52:16.650> I<00:52:17.010> just<00:52:17.220> missed<00:52:17.460> it<00:52:17.660> right<00:52:18.660> so<00:52:19.260> this 00:52:19.790 --> 00:52:19.800 align:start position:0% position I just missed it right so this 00:52:19.800 --> 00:52:22.520 align:start position:0% position I just missed it right so this is<00:52:20.010> the<00:52:20.130> case<00:52:20.310> however<00:52:21.150> there<00:52:21.930> are<00:52:22.170> some<00:52:22.350> where 00:52:22.520 --> 00:52:22.530 align:start position:0% is the case however there are some where 00:52:22.530 --> 00:52:24.590 align:start position:0% is the case however there are some where this<00:52:22.860> is<00:52:23.040> a<00:52:23.070> bit<00:52:23.250> of<00:52:23.340> a<00:52:23.460> science<00:52:23.790> so<00:52:23.880> I'll<00:52:24.390> try 00:52:24.590 --> 00:52:24.600 align:start position:0% this is a bit of a science so I'll try 00:52:24.600 --> 00:52:26.060 align:start position:0% this is a bit of a science so I'll try to<00:52:24.630> keep<00:52:24.780> it<00:52:24.930> relatively<00:52:25.140> sure<00:52:25.350> but<00:52:25.710> there<00:52:25.860> are 00:52:26.060 --> 00:52:26.070 align:start position:0% to keep it relatively sure but there are 00:52:26.070 --> 00:52:27.590 align:start position:0% to keep it relatively sure but there are some<00:52:26.340> cases<00:52:26.520> in<00:52:26.790> which<00:52:26.880> you<00:52:26.970> can<00:52:27.210> make<00:52:27.390> that 00:52:27.590 --> 00:52:27.600 align:start position:0% some cases in which you can make that 00:52:27.600 --> 00:52:29.510 align:start position:0% some cases in which you can make that and<00:52:27.780> particularly<00:52:28.500> we're<00:52:28.920> okay<00:52:29.190> making<00:52:29.400> the 00:52:29.510 --> 00:52:29.520 align:start position:0% and particularly we're okay making the 00:52:29.520 --> 00:52:31.130 align:start position:0% and particularly we're okay making the deception<00:52:30.000> if<00:52:30.330> we<00:52:30.600> tell<00:52:30.780> you<00:52:30.870> ahead<00:52:30.960> of<00:52:31.050> time 00:52:31.130 --> 00:52:31.140 align:start position:0% deception if we tell you ahead of time 00:52:31.140 --> 00:52:33.230 align:start position:0% deception if we tell you ahead of time hey<00:52:31.500> buddy<00:52:31.740> your<00:52:32.370> life<00:52:32.700> depends<00:52:33.090> on<00:52:33.150> this 00:52:33.230 --> 00:52:33.240 align:start position:0% hey buddy your life depends on this 00:52:33.240 --> 00:52:34.610 align:start position:0% hey buddy your life depends on this chess<00:52:33.480> game<00:52:33.510> because<00:52:33.900> every<00:52:34.200> other<00:52:34.290> chess 00:52:34.610 --> 00:52:34.620 align:start position:0% chess game because every other chess 00:52:34.620 --> 00:52:36.170 align:start position:0% chess game because every other chess game<00:52:34.830> is<00:52:35.160> you're<00:52:35.370> playing<00:52:35.580> next<00:52:35.880> in<00:52:36.090> the 00:52:36.170 --> 00:52:36.180 align:start position:0% game is you're playing next in the 00:52:36.180 --> 00:52:37.340 align:start position:0% game is you're playing next in the future<00:52:36.450> is<00:52:36.540> gonna<00:52:36.630> be<00:52:36.720> dependent<00:52:37.140> on<00:52:37.200> whether 00:52:37.340 --> 00:52:37.350 align:start position:0% future is gonna be dependent on whether 00:52:37.350 --> 00:52:37.910 align:start position:0% future is gonna be dependent on whether you 00:52:37.910 --> 00:52:37.920 align:start position:0% you 00:52:37.920 --> 00:52:40.790 align:start position:0% you it's<00:52:38.160> okay<00:52:38.490> if<00:52:38.670> I<00:52:38.880> suffer<00:52:39.390> because<00:52:39.720> the<00:52:40.590> game 00:52:40.790 --> 00:52:40.800 align:start position:0% it's okay if I suffer because the game 00:52:40.800 --> 00:52:42.440 align:start position:0% it's okay if I suffer because the game came<00:52:41.070> out<00:52:41.220> that<00:52:41.400> way<00:52:41.610> but<00:52:41.820> if<00:52:41.940> everybody<00:52:42.390> else 00:52:42.440 --> 00:52:42.450 align:start position:0% came out that way but if everybody else 00:52:42.450 --> 00:52:44.510 align:start position:0% came out that way but if everybody else suffers<00:52:42.990> because<00:52:43.200> I<00:52:43.770> messed<00:52:43.980> up<00:52:44.160> the<00:52:44.340> game 00:52:44.510 --> 00:52:44.520 align:start position:0% suffers because I messed up the game 00:52:44.520 --> 00:52:46.520 align:start position:0% suffers because I messed up the game very<00:52:45.030> truth<00:52:45.270> that's<00:52:45.480> a<00:52:45.660> design<00:52:45.930> problem<00:52:46.170> very 00:52:46.520 --> 00:52:46.530 align:start position:0% very truth that's a design problem very 00:52:46.530 --> 00:52:48.560 align:start position:0% very truth that's a design problem very true<00:52:46.800> so<00:52:47.100> so<00:52:47.370> so<00:52:47.610> some<00:52:47.850> of<00:52:47.910> the<00:52:48.060> major<00:52:48.210> design 00:52:48.560 --> 00:52:48.570 align:start position:0% true so so so some of the major design 00:52:48.570 --> 00:52:50.120 align:start position:0% true so so so some of the major design problems<00:52:48.900> there<00:52:49.050> we<00:52:49.320> can<00:52:49.440> tackle<00:52:49.650> and<00:52:49.980> the 00:52:50.120 --> 00:52:50.130 align:start position:0% problems there we can tackle and the 00:52:50.130 --> 00:52:51.920 align:start position:0% problems there we can tackle and the ones<00:52:50.310> that<00:52:50.490> are<00:52:50.610> sort<00:52:50.850> of<00:52:50.880> a<00:52:51.030> you<00:52:51.900> know 00:52:51.920 --> 00:52:51.930 align:start position:0% ones that are sort of a you know 00:52:51.930 --> 00:52:53.540 align:start position:0% ones that are sort of a you know contextual<00:52:52.560> subjective<00:52:53.040> decisions<00:52:53.430> you 00:52:53.540 --> 00:52:53.550 align:start position:0% contextual subjective decisions you 00:52:53.550 --> 00:52:55.370 align:start position:0% contextual subjective decisions you might<00:52:53.700> want<00:52:53.970> to<00:52:54.090> or<00:52:54.210> not<00:52:54.360> may<00:52:54.570> want<00:52:54.930> to<00:52:54.990> make<00:52:55.230> or 00:52:55.370 --> 00:52:55.380 align:start position:0% might want to or not may want to make or 00:52:55.380 --> 00:52:57.620 align:start position:0% might want to or not may want to make or not<00:52:55.410> make<00:52:55.680> it<00:52:55.800> your<00:52:55.860> layer<00:52:56.010> 2<00:52:56.190> protocol<00:52:56.630> those 00:52:57.620 --> 00:52:57.630 align:start position:0% not make it your layer 2 protocol those 00:52:57.630 --> 00:52:59.480 align:start position:0% not make it your layer 2 protocol those are<00:52:57.780> choices<00:52:57.930> that<00:52:58.140> you<00:52:58.350> can<00:52:58.380> make<00:52:58.530> yes<00:52:59.010> oh<00:52:59.190> is 00:52:59.480 --> 00:52:59.490 align:start position:0% are choices that you can make yes oh is 00:52:59.490 --> 00:53:01.490 align:start position:0% are choices that you can make yes oh is it<00:52:59.580> a<00:52:59.730> game<00:52:59.910> that<00:53:00.060> you're<00:53:00.180> playing<00:53:00.240> a<00:53:00.960> game<00:53:01.080> on 00:53:01.490 --> 00:53:01.500 align:start position:0% it a game that you're playing a game on 00:53:01.500 --> 00:53:02.720 align:start position:0% it a game that you're playing a game on the<00:53:01.650> results<00:53:02.070> of<00:53:02.100> a<00:53:02.190> game<00:53:02.340> those<00:53:02.490> already 00:53:02.720 --> 00:53:02.730 align:start position:0% the results of a game those already 00:53:02.730 --> 00:53:04.550 align:start position:0% the results of a game those already played<00:53:03.180> in<00:53:03.660> which<00:53:03.840> case<00:53:04.050> like<00:53:04.260> we<00:53:04.410> already 00:53:04.550 --> 00:53:04.560 align:start position:0% played in which case like we already 00:53:04.560 --> 00:53:06.170 align:start position:0% played in which case like we already know<00:53:04.680> who<00:53:04.890> won<00:53:05.130> the<00:53:05.220> chess<00:53:05.460> games<00:53:05.730> so<00:53:06.030> now 00:53:06.170 --> 00:53:06.180 align:start position:0% know who won the chess games so now 00:53:06.180 --> 00:53:07.280 align:start position:0% know who won the chess games so now you're<00:53:06.330> planning<00:53:06.600> gameplay 00:53:07.280 --> 00:53:07.290 align:start position:0% you're planning gameplay 00:53:07.290 --> 00:53:10.760 align:start position:0% you're planning gameplay did<00:53:07.530> you<00:53:07.620> win<00:53:07.740> the<00:53:07.770> chess<00:53:07.980> game<00:53:08.010> around<00:53:08.660> it<00:53:09.770> but 00:53:10.760 --> 00:53:10.770 align:start position:0% did you win the chess game around it but 00:53:10.770 --> 00:53:14.020 align:start position:0% did you win the chess game around it but even<00:53:10.860> so<00:53:11.250> if<00:53:11.550> then<00:53:12.450> won<00:53:12.810> the<00:53:12.840> chess<00:53:13.260> game<00:53:13.290> I 00:53:14.020 --> 00:53:14.030 align:start position:0% even so if then won the chess game I 00:53:14.030 --> 00:53:16.670 align:start position:0% even so if then won the chess game I night<00:53:15.030> he<00:53:15.720> might<00:53:15.870> mess<00:53:16.140> up 00:53:16.670 --> 00:53:16.680 align:start position:0% night he might mess up 00:53:16.680 --> 00:53:19.040 align:start position:0% night he might mess up then<00:53:17.400> we<00:53:17.520> play<00:53:17.700> a<00:53:17.730> game<00:53:17.820> about<00:53:18.180> who<00:53:18.600> really<00:53:18.900> won 00:53:19.040 --> 00:53:19.050 align:start position:0% then we play a game about who really won 00:53:19.050 --> 00:53:21.080 align:start position:0% then we play a game about who really won the<00:53:19.200> chess<00:53:19.410> games<00:53:19.680> if<00:53:20.040> he<00:53:20.220> makes<00:53:20.370> a<00:53:20.550> mistake<00:53:20.640> I 00:53:21.080 --> 00:53:21.090 align:start position:0% the chess games if he makes a mistake I 00:53:21.090 --> 00:53:23.060 align:start position:0% the chess games if he makes a mistake I could<00:53:21.210> win<00:53:21.570> the<00:53:21.690> second<00:53:22.050> game<00:53:22.080> and<00:53:22.590> convince 00:53:23.060 --> 00:53:23.070 align:start position:0% could win the second game and convince 00:53:23.070 --> 00:53:53.440 align:start position:0% could win the second game and convince the<00:53:23.250> room<00:53:29.540> even<00:53:30.540> though<00:53:30.630> he<00:53:30.810> deserves<00:53:42.320> it 00:53:53.440 --> 00:53:53.450 align:start position:0% 00:53:53.450 --> 00:53:56.540 align:start position:0% so<00:53:54.450> like<00:53:54.660> one<00:53:54.870> claim<00:53:55.200> one<00:53:55.590> pain<00:53:55.860> pain<00:53:56.220> doesn't 00:53:56.540 --> 00:53:56.550 align:start position:0% so like one claim one pain pain doesn't 00:53:56.550 --> 00:53:57.220 align:start position:0% so like one claim one pain pain doesn't mean<00:53:56.670> the 00:53:57.220 --> 00:53:57.230 align:start position:0% mean the 00:53:57.230 --> 00:53:59.800 align:start position:0% mean the it<00:53:57.890> like<00:53:58.220> the<00:53:58.339> country<00:53:58.670> it's<00:53:59.119> not<00:53:59.150> Monticello 00:53:59.800 --> 00:53:59.810 align:start position:0% it like the country it's not Monticello 00:53:59.810 --> 00:54:03.760 align:start position:0% it like the country it's not Monticello right<00:54:01.450> that's<00:54:02.450> maybe<00:54:02.599> an<00:54:02.900> illuminating 00:54:03.760 --> 00:54:03.770 align:start position:0% right that's maybe an illuminating 00:54:03.770 --> 00:54:06.849 align:start position:0% right that's maybe an illuminating example<00:54:04.190> I<00:54:04.369> think<00:54:04.609> I<00:54:05.589> think<00:54:06.589> we're<00:54:06.710> kind<00:54:06.829> of 00:54:06.849 --> 00:54:06.859 align:start position:0% example I think I think we're kind of 00:54:06.859 --> 00:54:08.349 align:start position:0% example I think I think we're kind of short<00:54:07.040> because<00:54:07.310> there's<00:54:07.849> there's<00:54:08.089> a<00:54:08.210> whole 00:54:08.349 --> 00:54:08.359 align:start position:0% short because there's there's a whole 00:54:08.359 --> 00:54:09.940 align:start position:0% short because there's there's a whole separate<00:54:08.660> discussion<00:54:08.720> what<00:54:09.650> we're<00:54:09.770> doing 00:54:09.940 --> 00:54:09.950 align:start position:0% separate discussion what we're doing 00:54:09.950 --> 00:54:11.440 align:start position:0% separate discussion what we're doing right<00:54:10.040> now<00:54:10.099> is<00:54:10.460> pretty<00:54:10.670> separate<00:54:11.150> from<00:54:11.329> the 00:54:11.440 --> 00:54:11.450 align:start position:0% right now is pretty separate from the 00:54:11.450 --> 00:54:13.210 align:start position:0% right now is pretty separate from the way<00:54:11.630> that<00:54:11.750> you<00:54:11.839> implement<00:54:12.170> a<00:54:12.200> contract<00:54:12.650> and<00:54:12.859> so 00:54:13.210 --> 00:54:13.220 align:start position:0% way that you implement a contract and so 00:54:13.220 --> 00:54:14.470 align:start position:0% way that you implement a contract and so one<00:54:13.400> of<00:54:13.430> the<00:54:13.550> key<00:54:13.730> things<00:54:14.000> that<00:54:14.089> you<00:54:14.210> want<00:54:14.420> to 00:54:14.470 --> 00:54:14.480 align:start position:0% one of the key things that you want to 00:54:14.480 --> 00:54:16.089 align:start position:0% one of the key things that you want to do<00:54:14.599> when<00:54:14.810> you<00:54:14.900> turn<00:54:15.109> these<00:54:15.349> semantics<00:54:15.950> into 00:54:16.089 --> 00:54:16.099 align:start position:0% do when you turn these semantics into 00:54:16.099 --> 00:54:17.650 align:start position:0% do when you turn these semantics into labor<00:54:16.700> contract<00:54:17.180> that<00:54:17.270> you're<00:54:17.390> writing<00:54:17.630> out 00:54:17.650 --> 00:54:17.660 align:start position:0% labor contract that you're writing out 00:54:17.660 --> 00:54:19.810 align:start position:0% labor contract that you're writing out blockchain<00:54:18.200> is<00:54:18.619> that<00:54:18.890> if<00:54:19.010> someone<00:54:19.339> else<00:54:19.460> makes 00:54:19.810 --> 00:54:19.820 align:start position:0% blockchain is that if someone else makes 00:54:19.820 --> 00:54:21.220 align:start position:0% blockchain is that if someone else makes the<00:54:19.940> wrong<00:54:20.089> move<00:54:20.150> and<00:54:20.599> you<00:54:20.750> know<00:54:20.930> that<00:54:21.109> they're 00:54:21.220 --> 00:54:21.230 align:start position:0% the wrong move and you know that they're 00:54:21.230 --> 00:54:22.960 align:start position:0% the wrong move and you know that they're making<00:54:21.320> the<00:54:21.500> wrong<00:54:21.650> move<00:54:21.710> you<00:54:22.460> can't<00:54:22.700> let<00:54:22.849> that 00:54:22.960 --> 00:54:22.970 align:start position:0% making the wrong move you can't let that 00:54:22.970 --> 00:54:24.520 align:start position:0% making the wrong move you can't let that screw<00:54:23.329> them<00:54:23.450> over<00:54:23.540> you<00:54:23.869> have<00:54:24.020> to<00:54:24.050> be<00:54:24.290> able<00:54:24.380> to 00:54:24.520 --> 00:54:24.530 align:start position:0% screw them over you have to be able to 00:54:24.530 --> 00:54:27.490 align:start position:0% screw them over you have to be able to sort<00:54:24.859> of<00:54:24.890> go<00:54:25.369> like<00:54:25.579> start<00:54:26.300> and<00:54:26.480> use<00:54:26.720> up<00:54:27.140> a<00:54:27.320> new 00:54:27.490 --> 00:54:27.500 align:start position:0% sort of go like start and use up a new 00:54:27.500 --> 00:54:29.050 align:start position:0% sort of go like start and use up a new game<00:54:27.740> from<00:54:28.040> a<00:54:28.160> different<00:54:28.339> point<00:54:28.609> in<00:54:28.760> the<00:54:28.820> tree 00:54:29.050 --> 00:54:29.060 align:start position:0% game from a different point in the tree 00:54:29.060 --> 00:54:30.520 align:start position:0% game from a different point in the tree where<00:54:29.540> you<00:54:29.690> make<00:54:29.839> the<00:54:29.960> move<00:54:30.050> that<00:54:30.230> you<00:54:30.290> would 00:54:30.520 --> 00:54:30.530 align:start position:0% where you make the move that you would 00:54:30.530 --> 00:54:32.200 align:start position:0% where you make the move that you would be<00:54:30.650> this<00:54:30.770> right<00:54:30.980> and<00:54:31.250> so<00:54:31.609> there's<00:54:31.760> a<00:54:31.849> contract 00:54:32.200 --> 00:54:32.210 align:start position:0% be this right and so there's a contract 00:54:32.210 --> 00:54:36.579 align:start position:0% be this right and so there's a contract design<00:54:32.450> that<00:54:32.599> allows<00:54:32.750> you<00:54:32.930> to<00:54:32.960> do<00:54:33.140> that<00:54:35.589> but 00:54:36.579 --> 00:54:36.589 align:start position:0% design that allows you to do that but 00:54:36.589 --> 00:54:38.109 align:start position:0% design that allows you to do that but anyway<00:54:36.800> maybe<00:54:37.220> I'll<00:54:37.430> take<00:54:37.670> you<00:54:37.730> here<00:54:37.880> because 00:54:38.109 --> 00:54:38.119 align:start position:0% anyway maybe I'll take you here because 00:54:38.119 --> 00:54:39.550 align:start position:0% anyway maybe I'll take you here because this<00:54:38.210> could<00:54:38.450> be<00:54:38.540> a<00:54:38.570> very<00:54:38.599> long<00:54:38.990> discussion<00:54:39.140> is 00:54:39.550 --> 00:54:39.560 align:start position:0% this could be a very long discussion is 00:54:39.560 --> 00:54:42.490 align:start position:0% this could be a very long discussion is what<00:54:39.710> I<00:54:39.740> want<00:54:39.950> to<00:54:40.010> have<00:54:40.160> but<00:54:41.119> I<00:54:41.210> also<00:54:41.300> I<00:54:41.750> said<00:54:42.410> I 00:54:42.490 --> 00:54:42.500 align:start position:0% what I want to have but I also I said I 00:54:42.500 --> 00:54:44.079 align:start position:0% what I want to have but I also I said I didn't<00:54:42.650> want<00:54:42.770> to<00:54:42.829> get<00:54:42.920> thrown<00:54:43.070> aside<00:54:43.339> a<00:54:43.520> couple 00:54:44.079 --> 00:54:44.089 align:start position:0% didn't want to get thrown aside a couple 00:54:44.089 --> 00:54:49.540 align:start position:0% didn't want to get thrown aside a couple more<00:54:47.589> okay<00:54:48.589> so<00:54:48.859> does<00:54:48.980> this<00:54:49.070> make<00:54:49.250> sense<00:54:49.280> to 00:54:49.540 --> 00:54:49.550 align:start position:0% more okay so does this make sense to 00:54:49.550 --> 00:54:51.550 align:start position:0% more okay so does this make sense to everyone<00:54:49.790> you're<00:54:50.450> defending<00:54:50.750> some<00:54:51.020> games<00:54:51.260> and 00:54:51.550 --> 00:54:51.560 align:start position:0% everyone you're defending some games and 00:54:51.560 --> 00:54:53.410 align:start position:0% everyone you're defending some games and you're<00:54:52.310> defending<00:54:52.430> some<00:54:52.760> think<00:54:53.000> if<00:54:53.210> you're 00:54:53.410 --> 00:54:53.420 align:start position:0% you're defending some think if you're 00:54:53.420 --> 00:54:55.030 align:start position:0% you're defending some think if you're defending<00:54:53.750> something<00:54:54.050> that's<00:54:54.320> true<00:54:54.530> you<00:54:54.800> won 00:54:55.030 --> 00:54:55.040 align:start position:0% defending something that's true you won 00:54:55.040 --> 00:54:56.109 align:start position:0% defending something that's true you won if<00:54:55.280> you're<00:54:55.400> defending<00:54:55.609> something<00:54:56.000> that's 00:54:56.109 --> 00:54:56.119 align:start position:0% if you're defending something that's 00:54:56.119 --> 00:54:59.680 align:start position:0% if you're defending something that's false<00:54:56.300> you've<00:54:56.570> lost<00:54:56.810> that<00:54:57.530> make<00:54:57.829> sense<00:54:58.690> cool 00:54:59.680 --> 00:54:59.690 align:start position:0% false you've lost that make sense cool 00:54:59.690 --> 00:55:03.910 align:start position:0% false you've lost that make sense cool excellent<00:55:00.700> okay<00:55:01.700> here<00:55:02.569> we<00:55:02.630> go<00:55:02.660> okay<00:55:03.530> so<00:55:03.560> now<00:55:03.859> we 00:55:03.910 --> 00:55:03.920 align:start position:0% excellent okay here we go okay so now we 00:55:03.920 --> 00:55:05.290 align:start position:0% excellent okay here we go okay so now we have<00:55:04.040> a<00:55:04.130> game<00:55:04.310> tree<00:55:04.550> now<00:55:04.790> we<00:55:04.849> can<00:55:05.060> make<00:55:05.150> the 00:55:05.290 --> 00:55:05.300 align:start position:0% have a game tree now we can make the 00:55:05.300 --> 00:55:07.030 align:start position:0% have a game tree now we can make the game<00:55:05.450> tree<00:55:05.660> so<00:55:06.079> let's<00:55:06.109> let's<00:55:06.530> let's<00:55:06.770> define 00:55:07.030 --> 00:55:07.040 align:start position:0% game tree so let's let's let's define 00:55:07.040 --> 00:55:09.700 align:start position:0% game tree so let's let's let's define two<00:55:07.280> atomic<00:55:07.730> propositions<00:55:08.270> path<00:55:08.510> entity<00:55:09.170> what 00:55:09.700 --> 00:55:09.710 align:start position:0% two atomic propositions path entity what 00:55:09.710 --> 00:55:10.990 align:start position:0% two atomic propositions path entity what will<00:55:09.859> they<00:55:09.980> will<00:55:10.460> then<00:55:10.579> how<00:55:10.730> will<00:55:10.790> they<00:55:10.940> be 00:55:10.990 --> 00:55:11.000 align:start position:0% will they will then how will they be 00:55:11.000 --> 00:55:12.400 align:start position:0% will they will then how will they be assigned<00:55:11.300> your<00:55:11.420> thighs<00:55:11.660> you<00:55:11.960> guessed<00:55:12.200> it 00:55:12.400 --> 00:55:12.410 align:start position:0% assigned your thighs you guessed it 00:55:12.410 --> 00:55:14.920 align:start position:0% assigned your thighs you guessed it that's<00:55:12.619> as<00:55:12.770> falsity<00:55:13.339> is<00:55:13.490> true<00:55:13.790> okay<00:55:14.390> get<00:55:14.780> it<00:55:14.839> on 00:55:14.920 --> 00:55:14.930 align:start position:0% that's as falsity is true okay get it on 00:55:14.930 --> 00:55:16.120 align:start position:0% that's as falsity is true okay get it on read<00:55:15.140> this<00:55:15.230> by<00:55:15.410> the<00:55:15.470> way<00:55:15.560> it's<00:55:15.680> possible<00:55:15.770> some 00:55:16.120 --> 00:55:16.130 align:start position:0% read this by the way it's possible some 00:55:16.130 --> 00:55:17.920 align:start position:0% read this by the way it's possible some pink<00:55:16.310> enemies<00:55:16.780> okay 00:55:17.920 --> 00:55:17.930 align:start position:0% pink enemies okay 00:55:17.930 --> 00:55:19.829 align:start position:0% pink enemies okay it<00:55:18.079> seems<00:55:18.260> like<00:55:18.380> we're<00:55:18.470> gonna<00:55:18.710> get<00:55:18.829> great<00:55:19.069> so 00:55:19.829 --> 00:55:19.839 align:start position:0% it seems like we're gonna get great so 00:55:19.839 --> 00:55:22.660 align:start position:0% it seems like we're gonna get great so daintree<00:55:20.839> for<00:55:21.470> false<00:55:21.770> more<00:55:22.069> true<00:55:22.250> so<00:55:22.310> the<00:55:22.550> game 00:55:22.660 --> 00:55:22.670 align:start position:0% daintree for false more true so the game 00:55:22.670 --> 00:55:24.099 align:start position:0% daintree for false more true so the game always<00:55:22.819> starts<00:55:23.030> with<00:55:23.270> the<00:55:23.390> proofer<00:55:23.720> I<00:55:23.869> haven't 00:55:24.099 --> 00:55:24.109 align:start position:0% always starts with the proofer I haven't 00:55:24.109 --> 00:55:25.359 align:start position:0% always starts with the proofer I haven't mentioned<00:55:24.230> that<00:55:24.440> yet<00:55:24.650> but<00:55:24.800> it's<00:55:24.950> pretty 00:55:25.359 --> 00:55:25.369 align:start position:0% mentioned that yet but it's pretty 00:55:25.369 --> 00:55:27.040 align:start position:0% mentioned that yet but it's pretty obvious<00:55:25.849> the<00:55:25.880> game<00:55:26.180> is<00:55:26.300> initiated<00:55:26.900> by<00:55:26.930> the 00:55:27.040 --> 00:55:27.050 align:start position:0% obvious the game is initiated by the 00:55:27.050 --> 00:55:28.839 align:start position:0% obvious the game is initiated by the prover<00:55:27.500> that's<00:55:27.770> the<00:55:27.980> one<00:55:28.250> trying<00:55:28.430> to<00:55:28.550> prove<00:55:28.700> it 00:55:28.839 --> 00:55:28.849 align:start position:0% prover that's the one trying to prove it 00:55:28.849 --> 00:55:30.579 align:start position:0% prover that's the one trying to prove it so<00:55:29.240> they<00:55:29.359> made<00:55:29.540> the<00:55:29.690> first<00:55:29.839> defense<00:55:30.260> of<00:55:30.440> the 00:55:30.579 --> 00:55:30.589 align:start position:0% so they made the first defense of the 00:55:30.589 --> 00:55:33.069 align:start position:0% so they made the first defense of the thing<00:55:30.770> being<00:55:30.980> prudent<00:55:31.490> okay<00:55:31.819> so<00:55:32.450> false<00:55:32.839> or 00:55:33.069 --> 00:55:33.079 align:start position:0% thing being prudent okay so false or 00:55:33.079 --> 00:55:35.470 align:start position:0% thing being prudent okay so false or true<00:55:33.109> so<00:55:33.890> P<00:55:34.130> since<00:55:34.849> false<00:55:35.089> or<00:55:35.240> true 00:55:35.470 --> 00:55:35.480 align:start position:0% true so P since false or true 00:55:35.480 --> 00:55:37.270 align:start position:0% true so P since false or true now<00:55:35.750> there's<00:55:35.869> only<00:55:35.930> one<00:55:36.079> response<00:55:36.710> according 00:55:37.270 --> 00:55:37.280 align:start position:0% now there's only one response according 00:55:37.280 --> 00:55:38.610 align:start position:0% now there's only one response according the<00:55:37.339> challengers<00:55:37.790> though 00:55:38.610 --> 00:55:38.620 align:start position:0% the challengers though 00:55:38.620 --> 00:55:41.060 align:start position:0% the challengers though which<00:55:38.950> this<00:55:39.130> is<00:55:39.190> a<00:55:39.370> not<00:55:39.610> false<00:55:39.940> and<00:55:40.300> not<00:55:40.660> true 00:55:41.060 --> 00:55:41.070 align:start position:0% which this is a not false and not true 00:55:41.070 --> 00:55:42.330 align:start position:0% which this is a not false and not true right 00:55:42.330 --> 00:55:42.340 align:start position:0% right 00:55:42.340 --> 00:55:45.480 align:start position:0% right so<00:55:42.730> that<00:55:43.300> is<00:55:43.420> according<00:55:43.720> to<00:55:43.960> rule<00:55:44.260> rule<00:55:45.220> number 00:55:45.480 --> 00:55:45.490 align:start position:0% so that is according to rule rule number 00:55:45.490 --> 00:55:47.850 align:start position:0% so that is according to rule rule number three<00:55:46.000> here<00:55:46.330> right<00:55:47.020> right<00:55:47.290> here 00:55:47.850 --> 00:55:47.860 align:start position:0% three here right right here 00:55:47.860 --> 00:55:51.450 align:start position:0% three here right right here p0<00:55:48.310> uh<00:55:48.640> not<00:55:49.300> be<00:55:49.480> 0<00:55:49.690> Anunnaki<00:55:50.110> 1<00:55:50.410> right<00:55:50.710> so<00:55:50.980> false 00:55:51.450 --> 00:55:51.460 align:start position:0% p0 uh not be 0 Anunnaki 1 right so false 00:55:51.460 --> 00:55:54.270 align:start position:0% p0 uh not be 0 Anunnaki 1 right so false portrait<00:55:51.940> not<00:55:52.330> false<00:55:52.630> and<00:55:52.930> not<00:55:53.230> true<00:55:53.710> right 00:55:54.270 --> 00:55:54.280 align:start position:0% portrait not false and not true right 00:55:54.280 --> 00:55:58.530 align:start position:0% portrait not false and not true right make<00:55:54.850> sense<00:55:55.710> ok<00:55:56.710> so<00:55:57.160> now<00:55:57.370> we<00:55:57.550> have<00:55:57.730> an<00:55:58.090> right 00:55:58.530 --> 00:55:58.540 align:start position:0% make sense ok so now we have an right 00:55:58.540 --> 00:56:00.840 align:start position:0% make sense ok so now we have an right and<00:55:58.780> so<00:55:58.960> they<00:55:59.440> add<00:55:59.620> P<00:56:00.010> Naza<00:56:00.250> choice 00:56:00.840 --> 00:56:00.850 align:start position:0% and so they add P Naza choice 00:56:00.850 --> 00:56:03.570 align:start position:0% and so they add P Naza choice P<00:56:01.030> can<00:56:01.210> either<00:56:01.420> say<00:56:01.630> not<00:56:02.260> on<00:56:02.500> the<00:56:02.680> left<00:56:02.860> or<00:56:03.220> not 00:56:03.570 --> 00:56:03.580 align:start position:0% P can either say not on the left or not 00:56:03.580 --> 00:56:07.290 align:start position:0% P can either say not on the left or not to<00:56:03.940> the<00:56:04.030> right<00:56:04.240> ok<00:56:05.050> so<00:56:05.400> let's<00:56:06.400> say<00:56:06.550> peaches<00:56:07.150> is 00:56:07.290 --> 00:56:07.300 align:start position:0% to the right ok so let's say peaches is 00:56:07.300 --> 00:56:10.650 align:start position:0% to the right ok so let's say peaches is I<00:56:07.510> equals<00:56:07.930> 0<00:56:08.200> aka<00:56:08.560> the<00:56:08.740> left<00:56:09.040> now<00:56:09.820> P<00:56:10.390> is<00:56:10.510> going 00:56:10.650 --> 00:56:10.660 align:start position:0% I equals 0 aka the left now P is going 00:56:10.660 --> 00:56:12.690 align:start position:0% I equals 0 aka the left now P is going to<00:56:10.810> say<00:56:11.020> not<00:56:11.590> the<00:56:12.010> thing<00:56:12.130> on<00:56:12.220> the<00:56:12.280> left<00:56:12.340> which 00:56:12.690 --> 00:56:12.700 align:start position:0% to say not the thing on the left which 00:56:12.700 --> 00:56:16.140 align:start position:0% to say not the thing on the left which is<00:56:12.850> not<00:56:13.000> not<00:56:13.180> false<00:56:13.420> okay<00:56:14.730> and<00:56:15.730> of<00:56:15.820> course<00:56:16.000> not 00:56:16.140 --> 00:56:16.150 align:start position:0% is not not false okay and of course not 00:56:16.150 --> 00:56:19.470 align:start position:0% is not not false okay and of course not not<00:56:16.300> falsely<00:56:16.690> mikey<00:56:17.470> is<00:56:18.820> by<00:56:18.880> not 00:56:19.470 --> 00:56:19.480 align:start position:0% not falsely mikey is by not 00:56:19.480 --> 00:56:22.500 align:start position:0% not falsely mikey is by not false<00:56:19.750> by<00:56:20.050> own<00:56:20.290> which<00:56:21.100> is<00:56:21.580> by<00:56:21.640> false 00:56:22.500 --> 00:56:22.510 align:start position:0% false by own which is by false 00:56:22.510 --> 00:56:24.720 align:start position:0% false by own which is by false Mikey<00:56:23.230> right<00:56:23.680> and<00:56:24.040> so<00:56:24.190> of<00:56:24.250> course<00:56:24.370> this<00:56:24.580> day 00:56:24.720 --> 00:56:24.730 align:start position:0% Mikey right and so of course this day 00:56:24.730 --> 00:56:27.240 align:start position:0% Mikey right and so of course this day Malcolm<00:56:25.060> is<00:56:25.150> going<00:56:25.270> to<00:56:25.330> be<00:56:25.390> 1<00:56:25.630> by<00:56:26.020> oh<00:56:26.320> right<00:56:26.950> so 00:56:27.240 --> 00:56:27.250 align:start position:0% Malcolm is going to be 1 by oh right so 00:56:27.250 --> 00:56:28.830 align:start position:0% Malcolm is going to be 1 by oh right so the<00:56:27.580> reason<00:56:27.760> that<00:56:28.060> it's<00:56:28.210> one<00:56:28.390> is<00:56:28.570> because 00:56:28.830 --> 00:56:28.840 align:start position:0% the reason that it's one is because 00:56:28.840 --> 00:56:30.450 align:start position:0% the reason that it's one is because Athens<00:56:29.200> in<00:56:29.260> the<00:56:29.320> time<00:56:29.470> proposition<00:56:30.040> it's 00:56:30.450 --> 00:56:30.460 align:start position:0% Athens in the time proposition it's 00:56:30.460 --> 00:56:33.330 align:start position:0% Athens in the time proposition it's false<00:56:30.730> because<00:56:31.300> P<00:56:31.720> is<00:56:31.990> defending<00:56:32.380> a<00:56:32.470> faucet<00:56:33.280> on 00:56:33.330 --> 00:56:33.340 align:start position:0% false because P is defending a faucet on 00:56:33.340 --> 00:56:35.850 align:start position:0% false because P is defending a faucet on proposition<00:56:33.910> it's<00:56:34.450> 1<00:56:34.720> by<00:56:34.960> P<00:56:35.020> so<00:56:35.680> does<00:56:35.830> that 00:56:35.850 --> 00:56:35.860 align:start position:0% proposition it's 1 by P so does that 00:56:35.860 --> 00:56:39.480 align:start position:0% proposition it's 1 by P so does that does<00:56:36.160> that<00:56:36.190> side<00:56:36.550> make<00:56:36.760> sense<00:56:37.000> yeah<00:56:38.490> great 00:56:39.480 --> 00:56:39.490 align:start position:0% does that side make sense yeah great 00:56:39.490 --> 00:56:41.430 align:start position:0% does that side make sense yeah great okay<00:56:39.700> and<00:56:40.000> of<00:56:40.150> course<00:56:40.330> the<00:56:40.450> other<00:56:40.600> side<00:56:40.690> the 00:56:41.430 --> 00:56:41.440 align:start position:0% okay and of course the other side the 00:56:41.440 --> 00:56:43.110 align:start position:0% okay and of course the other side the kids<00:56:41.620> were<00:56:41.740> one<00:56:42.100> which<00:56:42.430> is<00:56:42.550> this<00:56:42.670> tightly<00:56:43.060> to 00:56:43.110 --> 00:56:43.120 align:start position:0% kids were one which is this tightly to 00:56:43.120 --> 00:56:45.000 align:start position:0% kids were one which is this tightly to those<00:56:43.300> big<00:56:43.570> and<00:56:43.840> someone<00:56:44.200> says<00:56:44.320> not<00:56:44.560> call<00:56:44.800> Sam 00:56:45.000 --> 00:56:45.010 align:start position:0% those big and someone says not call Sam 00:56:45.010 --> 00:56:46.770 align:start position:0% those big and someone says not call Sam not<00:56:45.160> true<00:56:45.340> well<00:56:45.850> you<00:56:45.970> should<00:56:46.090> obviously<00:56:46.210> make 00:56:46.770 --> 00:56:46.780 align:start position:0% not true well you should obviously make 00:56:46.780 --> 00:56:49.470 align:start position:0% not true well you should obviously make you<00:56:46.930> know<00:56:47.020> go<00:56:47.230> ahead<00:56:47.380> and<00:56:47.680> say<00:56:47.890> not<00:56:48.790> true<00:56:49.120> right 00:56:49.470 --> 00:56:49.480 align:start position:0% you know go ahead and say not true right 00:56:49.480 --> 00:56:52.320 align:start position:0% you know go ahead and say not true right because<00:56:49.840> that's<00:56:50.320> true<00:56:50.530> so<00:56:51.220> yeah<00:56:51.730> not<00:56:51.910> not<00:56:52.120> true 00:56:52.320 --> 00:56:52.330 align:start position:0% because that's true so yeah not not true 00:56:52.330 --> 00:56:53.520 align:start position:0% because that's true so yeah not not true the<00:56:52.480> same<00:56:52.690> thing<00:56:52.840> happens<00:56:53.170> when<00:56:53.290> you're<00:56:53.350> the 00:56:53.520 --> 00:56:53.530 align:start position:0% the same thing happens when you're the 00:56:53.530 --> 00:56:55.530 align:start position:0% the same thing happens when you're the sweetest<00:56:53.860> is<00:56:54.100> not<00:56:54.220> true<00:56:54.460> where's<00:56:55.240> the<00:56:55.360> truth 00:56:55.530 --> 00:56:55.540 align:start position:0% sweetest is not true where's the truth 00:56:55.540 --> 00:56:58.500 align:start position:0% sweetest is not true where's the truth and<00:56:55.840> that's<00:56:55.930> what<00:56:56.200> Mikey<00:56:56.760> okay<00:56:57.760> so<00:56:57.970> for<00:56:58.270> false 00:56:58.500 --> 00:56:58.510 align:start position:0% and that's what Mikey okay so for false 00:56:58.510 --> 00:57:00.510 align:start position:0% and that's what Mikey okay so for false or<00:56:58.780> true<00:56:58.810> we<00:56:59.650> have<00:56:59.770> now<00:56:59.890> taken<00:56:59.950> this 00:57:00.510 --> 00:57:00.520 align:start position:0% or true we have now taken this 00:57:00.520 --> 00:57:02.940 align:start position:0% or true we have now taken this expression<00:57:01.180> this<00:57:01.390> this<00:57:01.870> expression<00:57:02.770> in<00:57:02.860> the 00:57:02.940 --> 00:57:02.950 align:start position:0% expression this this expression in the 00:57:02.950 --> 00:57:05.340 align:start position:0% expression this this expression in the syntax<00:57:03.550> just<00:57:03.880> the<00:57:04.360> language<00:57:04.840> of<00:57:05.020> first-order 00:57:05.340 --> 00:57:05.350 align:start position:0% syntax just the language of first-order 00:57:05.350 --> 00:57:07.680 align:start position:0% syntax just the language of first-order logic<00:57:05.560> and<00:57:05.980> we've<00:57:06.400> interpreted<00:57:06.850> it<00:57:07.210> as<00:57:07.360> this 00:57:07.680 --> 00:57:07.690 align:start position:0% logic and we've interpreted it as this 00:57:07.690 --> 00:57:09.570 align:start position:0% logic and we've interpreted it as this tree<00:57:08.020> doesn't<00:57:08.350> it<00:57:08.650> says<00:57:08.830> everyone<00:57:09.160> is<00:57:09.310> the<00:57:09.430> one 00:57:09.570 --> 00:57:09.580 align:start position:0% tree doesn't it says everyone is the one 00:57:09.580 --> 00:57:11.420 align:start position:0% tree doesn't it says everyone is the one here 00:57:11.420 --> 00:57:11.430 align:start position:0% here 00:57:11.430 --> 00:57:14.450 align:start position:0% here awesome<00:57:12.569> okay<00:57:13.079> so<00:57:13.710> that's<00:57:13.859> great<00:57:14.130> so<00:57:14.369> now 00:57:14.450 --> 00:57:14.460 align:start position:0% awesome okay so that's great so now 00:57:14.460 --> 00:57:16.039 align:start position:0% awesome okay so that's great so now we've<00:57:14.609> defined<00:57:14.730> a<00:57:14.910> tree<00:57:15.119> but<00:57:15.690> we<00:57:15.809> still 00:57:16.039 --> 00:57:16.049 align:start position:0% we've defined a tree but we still 00:57:16.049 --> 00:57:16.970 align:start position:0% we've defined a tree but we still haven't<00:57:16.230> answered<00:57:16.380> the<00:57:16.559> question 00:57:16.970 --> 00:57:16.980 align:start position:0% haven't answered the question 00:57:16.980 --> 00:57:19.279 align:start position:0% haven't answered the question what<00:57:17.940> does<00:57:18.089> it<00:57:18.210> mean<00:57:18.450> for<00:57:18.779> this<00:57:18.960> thing<00:57:19.079> to<00:57:19.200> be 00:57:19.279 --> 00:57:19.289 align:start position:0% what does it mean for this thing to be 00:57:19.289 --> 00:57:20.690 align:start position:0% what does it mean for this thing to be true<00:57:19.440> or<00:57:19.559> false<00:57:19.740> we've<00:57:20.009> interpreted<00:57:20.339> this 00:57:20.690 --> 00:57:20.700 align:start position:0% true or false we've interpreted this 00:57:20.700 --> 00:57:22.730 align:start position:0% true or false we've interpreted this expression<00:57:21.150> as<00:57:21.240> a<00:57:21.269> tree<00:57:21.599> now<00:57:22.200> how<00:57:22.319> do<00:57:22.410> we<00:57:22.470> look 00:57:22.730 --> 00:57:22.740 align:start position:0% expression as a tree now how do we look 00:57:22.740 --> 00:57:24.739 align:start position:0% expression as a tree now how do we look at<00:57:22.829> this<00:57:23.009> tree<00:57:23.309> and<00:57:23.579> understand<00:57:24.359> whether<00:57:24.630> or 00:57:24.739 --> 00:57:24.749 align:start position:0% at this tree and understand whether or 00:57:24.749 --> 00:57:26.329 align:start position:0% at this tree and understand whether or not<00:57:24.839> the<00:57:24.960> thing<00:57:25.140> is<00:57:25.230> actually<00:57:25.440> true<00:57:25.950> or<00:57:25.980> false 00:57:26.329 --> 00:57:26.339 align:start position:0% not the thing is actually true or false 00:57:26.339 --> 00:57:28.309 align:start position:0% not the thing is actually true or false right<00:57:27.029> so<00:57:27.299> that<00:57:27.450> that's<00:57:27.660> the<00:57:27.779> next<00:57:28.109> question 00:57:28.309 --> 00:57:28.319 align:start position:0% right so that that's the next question 00:57:28.319 --> 00:57:31.059 align:start position:0% right so that that's the next question organized<00:57:28.980> and<00:57:29.759> the<00:57:29.849> answer<00:57:30.329> is<00:57:30.539> going<00:57:30.779> to<00:57:30.839> be 00:57:31.059 --> 00:57:31.069 align:start position:0% organized and the answer is going to be 00:57:31.069 --> 00:57:34.370 align:start position:0% organized and the answer is going to be strategies<00:57:32.869> okay 00:57:34.370 --> 00:57:34.380 align:start position:0% strategies okay 00:57:34.380 --> 00:57:36.319 align:start position:0% strategies okay so<00:57:35.130> what<00:57:35.309> is<00:57:35.369> the<00:57:35.430> traffic<00:57:35.609> and<00:57:35.910> I<00:57:35.940> promise 00:57:36.319 --> 00:57:36.329 align:start position:0% so what is the traffic and I promise 00:57:36.329 --> 00:57:38.180 align:start position:0% so what is the traffic and I promise we're<00:57:36.480> almost<00:57:36.720> through<00:57:37.019> the<00:57:37.710> good<00:57:37.920> stuff 00:57:38.180 --> 00:57:38.190 align:start position:0% we're almost through the good stuff 00:57:38.190 --> 00:57:40.759 align:start position:0% we're almost through the good stuff finally<00:57:38.759> into<00:57:38.999> protocols<00:57:39.509> some<00:57:40.140> plug<00:57:40.410> all 00:57:40.759 --> 00:57:40.769 align:start position:0% finally into protocols some plug all 00:57:40.769 --> 00:57:44.180 align:start position:0% finally into protocols some plug all right<00:57:41.009> so<00:57:41.640> so<00:57:42.150> of<00:57:42.329> course<00:57:42.539> a<00:57:43.140> strategy<00:57:44.039> is<00:57:44.160> a 00:57:44.180 --> 00:57:44.190 align:start position:0% right so so of course a strategy is a 00:57:44.190 --> 00:57:46.249 align:start position:0% right so so of course a strategy is a subtree<00:57:44.670> and<00:57:44.940> actually<00:57:45.509> may<00:57:45.599> be<00:57:45.630> able<00:57:45.839> to<00:57:45.900> skip 00:57:46.249 --> 00:57:46.259 align:start position:0% subtree and actually may be able to skip 00:57:46.259 --> 00:57:48.559 align:start position:0% subtree and actually may be able to skip to<00:57:46.410> the<00:57:46.440> TLDR<00:57:46.950> of<00:57:47.730> the<00:57:47.880> damn<00:57:48.029> shot<00:57:48.240> to<00:57:48.480> you 00:57:48.559 --> 00:57:48.569 align:start position:0% to the TLDR of the damn shot to you 00:57:48.569 --> 00:57:51.950 align:start position:0% to the TLDR of the damn shot to you which<00:57:48.690> is<00:57:48.809> a<00:57:49.019> strategy<00:57:49.589> for<00:57:49.680> player<00:57:50.039> a<00:57:50.279> is<00:57:50.960> we 00:57:51.950 --> 00:57:51.960 align:start position:0% which is a strategy for player a is we 00:57:51.960 --> 00:57:53.569 align:start position:0% which is a strategy for player a is we start<00:57:52.230> off<00:57:52.289> with<00:57:52.410> the<00:57:52.529> big<00:57:52.680> thing<00:57:52.950> and<00:57:53.190> they 00:57:53.569 --> 00:57:53.579 align:start position:0% start off with the big thing and they 00:57:53.579 --> 00:57:55.309 align:start position:0% start off with the big thing and they look<00:57:53.730> at<00:57:53.849> all<00:57:54.059> the<00:57:54.269> possible<00:57:54.630> challenges<00:57:55.170> that 00:57:55.309 --> 00:57:55.319 align:start position:0% look at all the possible challenges that 00:57:55.319 --> 00:57:56.660 align:start position:0% look at all the possible challenges that you<00:57:55.499> can<00:57:55.680> make<00:57:55.829> right<00:57:56.039> what's<00:57:56.249> everything 00:57:56.660 --> 00:57:56.670 align:start position:0% you can make right what's everything 00:57:56.670 --> 00:58:00.049 align:start position:0% you can make right what's everything that<00:57:57.029> B<00:57:57.299> could<00:57:57.539> say<00:57:57.869> if<00:57:58.559> I<00:57:58.710> said<00:57:58.769> device<00:57:59.700> if 00:58:00.049 --> 00:58:00.059 align:start position:0% that B could say if I said device if 00:58:00.059 --> 00:58:03.049 align:start position:0% that B could say if I said device if player<00:58:00.299> a<00:58:00.329> said<00:58:00.809> the<00:58:01.109> first<00:58:01.349> thing<00:58:01.529> right<00:58:02.069> so 00:58:03.049 --> 00:58:03.059 align:start position:0% player a said the first thing right so 00:58:03.059 --> 00:58:04.789 align:start position:0% player a said the first thing right so for<00:58:03.240> all<00:58:03.450> the<00:58:03.630> challenges<00:58:04.170> we<00:58:04.319> know<00:58:04.529> winning 00:58:04.789 --> 00:58:04.799 align:start position:0% for all the challenges we know winning 00:58:04.799 --> 00:58:07.430 align:start position:0% for all the challenges we know winning strategy<00:58:05.279> says<00:58:05.549> it<00:58:05.789> says<00:58:06.240> all<00:58:06.809> the<00:58:06.990> challenges 00:58:07.430 --> 00:58:07.440 align:start position:0% strategy says it says all the challenges 00:58:07.440 --> 00:58:09.440 align:start position:0% strategy says it says all the challenges that<00:58:07.470> he<00:58:07.680> could<00:58:07.859> have<00:58:07.950> done<00:58:08.099> a<00:58:08.420> have<00:58:09.420> a 00:58:09.440 --> 00:58:09.450 align:start position:0% that he could have done a have a 00:58:09.450 --> 00:58:10.819 align:start position:0% that he could have done a have a response<00:58:09.930> to<00:58:10.109> that<00:58:10.230> I<00:58:10.349> have<00:58:10.470> to<00:58:10.559> be<00:58:10.650> able<00:58:10.710> to 00:58:10.819 --> 00:58:10.829 align:start position:0% response to that I have to be able to 00:58:10.829 --> 00:58:13.759 align:start position:0% response to that I have to be able to deal<00:58:11.069> with<00:58:11.099> that<00:58:11.400> case<00:58:11.700> so<00:58:12.569> you<00:58:13.200> look<00:58:13.380> at<00:58:13.470> all 00:58:13.759 --> 00:58:13.769 align:start position:0% deal with that case so you look at all 00:58:13.769 --> 00:58:16.460 align:start position:0% deal with that case so you look at all the<00:58:13.950> challenges<00:58:14.369> by<00:58:14.519> B<00:58:14.930> you<00:58:15.930> speak<00:58:16.319> my 00:58:16.460 --> 00:58:16.470 align:start position:0% the challenges by B you speak my 00:58:16.470 --> 00:58:18.319 align:start position:0% the challenges by B you speak my specific<00:58:16.710> powder<00:58:17.339> challenge<00:58:17.759> but<00:58:17.880> that 00:58:18.319 --> 00:58:18.329 align:start position:0% specific powder challenge but that 00:58:18.329 --> 00:58:21.349 align:start position:0% specific powder challenge but that should<00:58:18.720> say<00:58:19.430> so<00:58:20.430> you<00:58:20.549> specific<00:58:20.940> pick<00:58:21.329> a 00:58:21.349 --> 00:58:21.359 align:start position:0% should say so you specific pick a 00:58:21.359 --> 00:58:24.140 align:start position:0% should say so you specific pick a specific<00:58:21.539> kind<00:58:21.869> of<00:58:22.019> challenge<00:58:22.440> and<00:58:23.150> I'm 00:58:24.140 --> 00:58:24.150 align:start position:0% specific kind of challenge and I'm 00:58:24.150 --> 00:58:25.880 align:start position:0% specific kind of challenge and I'm offline<00:58:24.569> okay<00:58:25.019> I<00:58:25.049> think<00:58:25.440> highlighter<00:58:25.739> in 00:58:25.880 --> 00:58:25.890 align:start position:0% offline okay I think highlighter in 00:58:25.890 --> 00:58:27.759 align:start position:0% offline okay I think highlighter in there<00:58:26.039> it's<00:58:26.220> a<00:58:26.400> I<00:58:26.609> promise<00:58:26.970> you<00:58:27.089> I<00:58:27.210> said 00:58:27.759 --> 00:58:27.769 align:start position:0% there it's a I promise you I said 00:58:27.769 --> 00:58:30.559 align:start position:0% there it's a I promise you I said hopefully<00:58:28.769> I<00:58:28.980> didn't<00:58:29.220> present<00:58:29.519> again<00:58:29.730> oh<00:58:29.910> baby 00:58:30.559 --> 00:58:30.569 align:start position:0% hopefully I didn't present again oh baby 00:58:30.569 --> 00:58:35.180 align:start position:0% hopefully I didn't present again oh baby okay<00:58:31.220> all<00:58:32.220> right<00:58:33.259> no<00:58:34.259> worries<00:58:34.380> my<00:58:34.680> bless<00:58:35.039> my 00:58:35.180 --> 00:58:35.190 align:start position:0% okay all right no worries my bless my 00:58:35.190 --> 00:58:37.700 align:start position:0% okay all right no worries my bless my phone<00:58:35.400> died<00:58:35.609> we're<00:58:35.789> gonna<00:58:35.880> be<00:58:35.999> good<00:58:36.180> okay<00:58:36.710> yes 00:58:37.700 --> 00:58:37.710 align:start position:0% phone died we're gonna be good okay yes 00:58:37.710 --> 00:58:41.900 align:start position:0% phone died we're gonna be good okay yes so<00:58:38.160> my<00:58:38.670> strategy<00:58:38.880> is<00:58:39.660> when<00:58:40.259> player<00:58:41.009> a<00:58:41.249> says 00:58:41.900 --> 00:58:41.910 align:start position:0% so my strategy is when player a says 00:58:41.910 --> 00:58:44.029 align:start position:0% so my strategy is when player a says okay<00:58:42.239> I'm<00:58:42.599> playing<00:58:42.989> a<00:58:43.140> having<00:58:43.410> a<00:58:43.470> witness 00:58:44.029 --> 00:58:44.039 align:start position:0% okay I'm playing a having a witness 00:58:44.039 --> 00:58:46.460 align:start position:0% okay I'm playing a having a witness what's<00:58:44.249> my<00:58:44.369> strategy<00:58:44.579> here<00:58:45.210> right<00:58:45.509> okay<00:58:46.289> my 00:58:46.460 --> 00:58:46.470 align:start position:0% what's my strategy here right okay my 00:58:46.470 --> 00:58:47.720 align:start position:0% what's my strategy here right okay my strategy<00:58:46.980> is<00:58:47.039> I'm<00:58:47.099> gonna<00:58:47.220> look<00:58:47.339> at<00:58:47.460> all<00:58:47.579> the 00:58:47.720 --> 00:58:47.730 align:start position:0% strategy is I'm gonna look at all the 00:58:47.730 --> 00:58:49.880 align:start position:0% strategy is I'm gonna look at all the possible<00:58:48.180> things<00:58:48.239> that<00:58:48.539> P<00:58:48.779> could<00:58:48.930> do<00:58:49.109> I<00:58:49.380> don't 00:58:49.880 --> 00:58:49.890 align:start position:0% possible things that P could do I don't 00:58:49.890 --> 00:58:50.900 align:start position:0% possible things that P could do I don't know<00:58:50.039> people<00:58:50.220> what<00:58:50.460> I'm<00:58:50.519> gonna<00:58:50.640> do<00:58:50.819> in 00:58:50.900 --> 00:58:50.910 align:start position:0% know people what I'm gonna do in 00:58:50.910 --> 00:58:53.870 align:start position:0% know people what I'm gonna do in response<00:58:51.210> right<00:58:51.890> and<00:58:52.890> then<00:58:53.130> for<00:58:53.489> everything 00:58:53.870 --> 00:58:53.880 align:start position:0% response right and then for everything 00:58:53.880 --> 00:58:56.420 align:start position:0% response right and then for everything that's<00:58:54.029> done<00:58:54.150> in<00:58:54.299> response<00:58:54.980> what<00:58:55.980> are<00:58:56.009> all<00:58:56.220> the 00:58:56.420 --> 00:58:56.430 align:start position:0% that's done in response what are all the 00:58:56.430 --> 00:58:57.589 align:start position:0% that's done in response what are all the things<00:58:56.460> that<00:58:56.789> they<00:58:56.880> could<00:58:57.029> do<00:58:57.089> in<00:58:57.150> response<00:58:57.480> to 00:58:57.589 --> 00:58:57.599 align:start position:0% things that they could do in response to 00:58:57.599 --> 00:58:58.940 align:start position:0% things that they could do in response to that<00:58:57.720> and<00:58:57.960> for<00:58:58.109> each<00:58:58.170> one<00:58:58.349> of<00:58:58.380> those<00:58:58.529> I'm<00:58:58.829> gonna 00:58:58.940 --> 00:58:58.950 align:start position:0% that and for each one of those I'm gonna 00:58:58.950 --> 00:58:59.410 align:start position:0% that and for each one of those I'm gonna pick<00:58:59.160> some 00:58:59.410 --> 00:58:59.420 align:start position:0% pick some 00:58:59.420 --> 00:59:02.020 align:start position:0% pick some as<00:58:59.869> well<00:59:00.140> okay<00:59:00.829> and<00:59:01.010> so<00:59:01.309> this<00:59:01.430> defines<00:59:01.819> a 00:59:02.020 --> 00:59:02.030 align:start position:0% as well okay and so this defines a 00:59:02.030 --> 00:59:05.230 align:start position:0% as well okay and so this defines a strategy<00:59:02.540> for<00:59:02.990> player<00:59:03.290> a<00:59:03.470> right<00:59:04.309> so<00:59:04.730> for 00:59:05.230 --> 00:59:05.240 align:start position:0% strategy for player a right so for 00:59:05.240 --> 00:59:08.799 align:start position:0% strategy for player a right so for example<00:59:05.710> let's<00:59:06.710> here<00:59:07.420> yes 00:59:08.799 --> 00:59:08.809 align:start position:0% example let's here yes 00:59:08.809 --> 00:59:11.950 align:start position:0% example let's here yes what's<00:59:09.619> leg<00:59:09.859> was<00:59:10.069> that<00:59:10.280> Polly<00:59:10.579> six<00:59:10.930> thanks<00:59:11.930> a 00:59:11.950 --> 00:59:11.960 align:start position:0% what's leg was that Polly six thanks a 00:59:11.960 --> 00:59:18.609 align:start position:0% what's leg was that Polly six thanks a lot<00:59:12.609> I<00:59:13.609> can<00:59:13.819> fix<00:59:13.970> it<00:59:15.880> okay<00:59:17.349> right<00:59:18.349> and<00:59:18.500> that's 00:59:18.609 --> 00:59:18.619 align:start position:0% lot I can fix it okay right and that's 00:59:18.619 --> 00:59:21.250 align:start position:0% lot I can fix it okay right and that's when<00:59:18.740> we<00:59:18.829> repeat<00:59:19.099> this<00:59:19.220> process<00:59:19.309> right<00:59:19.849> so<00:59:20.260> let 00:59:21.250 --> 00:59:21.260 align:start position:0% when we repeat this process right so let 00:59:21.260 --> 00:59:22.510 align:start position:0% when we repeat this process right so let me<00:59:21.290> let<00:59:21.530> me<00:59:21.559> just<00:59:21.740> start<00:59:21.859> the<00:59:21.980> board<00:59:22.190> because 00:59:22.510 --> 00:59:22.520 align:start position:0% me let me just start the board because 00:59:22.520 --> 00:59:25.750 align:start position:0% me let me just start the board because maybe<00:59:22.760> board<00:59:23.089> as<00:59:23.210> many<00:59:23.420> this<00:59:23.569> one<00:59:23.720> here<00:59:24.760> it's 00:59:25.750 --> 00:59:25.760 align:start position:0% maybe board as many this one here it's 00:59:25.760 --> 00:59:27.490 align:start position:0% maybe board as many this one here it's on<00:59:25.849> a<00:59:25.910> high<00:59:26.030> level<00:59:26.140> what<00:59:27.140> is<00:59:27.230> the<00:59:27.319> strategy 00:59:27.490 --> 00:59:27.500 align:start position:0% on a high level what is the strategy 00:59:27.500 --> 00:59:29.500 align:start position:0% on a high level what is the strategy let's<00:59:28.069> let's<00:59:28.309> Li<00:59:28.430> get<00:59:28.520> a<00:59:28.579> strategy<00:59:28.790> for<00:59:29.359> the 00:59:29.500 --> 00:59:29.510 align:start position:0% let's let's Li get a strategy for the 00:59:29.510 --> 00:59:32.620 align:start position:0% let's let's Li get a strategy for the prover<00:59:29.869> P<00:59:30.319> okay<00:59:30.950> so<00:59:31.640> we<00:59:31.730> have<00:59:31.880> some<00:59:32.089> some<00:59:32.390> root 00:59:32.620 --> 00:59:32.630 align:start position:0% prover P okay so we have some some root 00:59:32.630 --> 00:59:34.620 align:start position:0% prover P okay so we have some some root stage<00:59:32.869> here<00:59:33.140> I<00:59:33.260> think<00:59:33.440> this<00:59:33.589> is<00:59:33.650> you<00:59:33.920> know<00:59:34.040> P 00:59:34.620 --> 00:59:34.630 align:start position:0% stage here I think this is you know P 00:59:34.630 --> 00:59:37.359 align:start position:0% stage here I think this is you know P you<00:59:35.630> know<00:59:35.720> whatever<00:59:36.500> I'm<00:59:36.740> not<00:59:36.950> gonna<00:59:37.130> write 00:59:37.359 --> 00:59:37.369 align:start position:0% you know whatever I'm not gonna write 00:59:37.369 --> 00:59:40.089 align:start position:0% you know whatever I'm not gonna write out<00:59:37.520> this<00:59:38.270> thing<00:59:38.569> probably<00:59:39.230> examples<00:59:39.799> right 00:59:40.089 --> 00:59:40.099 align:start position:0% out this thing probably examples right 00:59:40.099 --> 00:59:42.190 align:start position:0% out this thing probably examples right but<00:59:40.670> what<00:59:40.819> is<00:59:40.910> the<00:59:41.000> strategy<00:59:41.180> for<00:59:41.750> the<00:59:41.809> privity 00:59:42.190 --> 00:59:42.200 align:start position:0% but what is the strategy for the privity 00:59:42.200 --> 00:59:44.680 align:start position:0% but what is the strategy for the privity a<00:59:42.349> strategy<00:59:42.980> is<00:59:43.700> we<00:59:43.970> look<00:59:44.119> at<00:59:44.180> all<00:59:44.480> the 00:59:44.680 --> 00:59:44.690 align:start position:0% a strategy is we look at all the 00:59:44.690 --> 00:59:49.270 align:start position:0% a strategy is we look at all the possible<00:59:46.089> next<00:59:47.089> nodes<00:59:47.599> in<00:59:48.049> the<00:59:48.170> tree<00:59:48.200> right<00:59:48.799> so 00:59:49.270 --> 00:59:49.280 align:start position:0% possible next nodes in the tree right so 00:59:49.280 --> 00:59:52.000 align:start position:0% possible next nodes in the tree right so these<00:59:49.430> are<00:59:49.490> all<00:59:49.790> of<00:59:49.940> the<00:59:49.970> things<00:59:50.380> that<00:59:51.380> could 00:59:52.000 --> 00:59:52.010 align:start position:0% these are all of the things that could 00:59:52.010 --> 00:59:53.829 align:start position:0% these are all of the things that could be<00:59:52.130> played<00:59:52.369> by<00:59:52.400> oh<00:59:52.760> okay<00:59:53.359> so<00:59:53.420> these<00:59:53.660> are<00:59:53.720> all 00:59:53.829 --> 00:59:53.839 align:start position:0% be played by oh okay so these are all 00:59:53.839 --> 00:59:56.470 align:start position:0% be played by oh okay so these are all given<00:59:54.230> form<00:59:54.500> Oh<00:59:54.880> something<00:59:55.880> oh<00:59:56.030> something 00:59:56.470 --> 00:59:56.480 align:start position:0% given form Oh something oh something 00:59:56.480 --> 00:59:59.230 align:start position:0% given form Oh something oh something else<00:59:56.780> something<00:59:57.380> else<00:59:57.530> right<00:59:57.920> and<00:59:58.280> so<00:59:58.730> P<00:59:59.000> has 00:59:59.230 --> 00:59:59.240 align:start position:0% else something else right and so P has 00:59:59.240 --> 01:00:01.780 align:start position:0% else something else right and so P has to<00:59:59.480> be<00:59:59.599> every<01:00:00.589> every<01:00:01.010> single<01:00:01.309> one<01:00:01.490> of<01:00:01.549> those 01:00:01.780 --> 01:00:01.790 align:start position:0% to be every every single one of those 01:00:01.790 --> 01:00:03.880 align:start position:0% to be every every single one of those right<01:00:02.390> so<01:00:02.569> every<01:00:02.990> everything<01:00:03.440> that<01:00:03.559> oh<01:00:03.619> says 01:00:03.880 --> 01:00:03.890 align:start position:0% right so every everything that oh says 01:00:03.890 --> 01:00:05.950 align:start position:0% right so every everything that oh says he's<01:00:04.339> got<01:00:04.460> an<01:00:04.579> answer<01:00:04.940> okay<01:00:05.210> so<01:00:05.839> what<01:00:05.930> that 01:00:05.950 --> 01:00:05.960 align:start position:0% he's got an answer okay so what that 01:00:05.960 --> 01:00:08.530 align:start position:0% he's got an answer okay so what that means<01:00:06.230> is<01:00:06.319> we're<01:00:06.410> gonna<01:00:06.500> pick<01:00:06.740> one<01:00:07.150> answer<01:00:08.150> for 01:00:08.530 --> 01:00:08.540 align:start position:0% means is we're gonna pick one answer for 01:00:08.540 --> 01:00:11.049 align:start position:0% means is we're gonna pick one answer for each<01:00:08.660> of<01:00:08.839> these<01:00:09.130> that<01:00:10.130> he's<01:00:10.460> gonna<01:00:10.640> play<01:00:10.849> in 01:00:11.049 --> 01:00:11.059 align:start position:0% each of these that he's gonna play in 01:00:11.059 --> 01:00:12.940 align:start position:0% each of these that he's gonna play in response<01:00:11.450> right<01:00:11.960> so<01:00:12.410> these<01:00:12.500> were<01:00:12.650> played<01:00:12.829> by 01:00:12.940 --> 01:00:12.950 align:start position:0% response right so these were played by 01:00:12.950 --> 01:00:15.250 align:start position:0% response right so these were played by oh<01:00:12.980> now<01:00:13.819> these<01:00:13.970> are<01:00:14.119> played<01:00:14.299> by<01:00:14.420> people<01:00:14.630> okay 01:00:15.250 --> 01:00:15.260 align:start position:0% oh now these are played by people okay 01:00:15.260 --> 01:00:19.809 align:start position:0% oh now these are played by people okay so<01:00:15.859> he<01:00:16.400> said<01:00:17.359> one<01:00:17.569> thing<01:00:18.309> he<01:00:19.309> has<01:00:19.490> to<01:00:19.520> be<01:00:19.700> able 01:00:19.809 --> 01:00:19.819 align:start position:0% so he said one thing he has to be able 01:00:19.819 --> 01:00:21.160 align:start position:0% so he said one thing he has to be able to<01:00:19.910> say<01:00:20.030> okay<01:00:20.270> here's<01:00:20.480> all<01:00:20.690> the<01:00:20.869> things<01:00:21.049> that 01:00:21.160 --> 01:00:21.170 align:start position:0% to say okay here's all the things that 01:00:21.170 --> 01:00:23.079 align:start position:0% to say okay here's all the things that oh<01:00:21.290> they<01:00:21.440> say<01:00:21.619> and<01:00:21.950> here's<01:00:22.579> what<01:00:22.730> I<01:00:22.819> mean<01:00:22.849> to 01:00:23.079 --> 01:00:23.089 align:start position:0% oh they say and here's what I mean to 01:00:23.089 --> 01:00:25.270 align:start position:0% oh they say and here's what I mean to say<01:00:23.119> in<01:00:23.329> response<01:00:23.690> this<01:00:24.020> is<01:00:24.109> my<01:00:24.230> strategy<01:00:24.589> does 01:00:25.270 --> 01:00:25.280 align:start position:0% say in response this is my strategy does 01:00:25.280 --> 01:00:25.960 align:start position:0% say in response this is my strategy does that<01:00:25.400> make<01:00:25.520> sense 01:00:25.960 --> 01:00:25.970 align:start position:0% that make sense 01:00:25.970 --> 01:00:27.490 align:start position:0% that make sense it's<01:00:26.119> what<01:00:26.270> I<01:00:26.299> am<01:00:26.540> choosing<01:00:26.750> to<01:00:26.990> play<01:00:27.230> in 01:00:27.490 --> 01:00:27.500 align:start position:0% it's what I am choosing to play in 01:00:27.500 --> 01:00:30.490 align:start position:0% it's what I am choosing to play in response<01:00:27.950> to<01:00:28.520> anything<01:00:29.240> possibly<01:00:29.690> I<01:00:29.990> can<01:00:30.319> play 01:00:30.490 --> 01:00:30.500 align:start position:0% response to anything possibly I can play 01:00:30.500 --> 01:00:31.900 align:start position:0% response to anything possibly I can play by<01:00:30.740> my<01:00:30.920> opponent<01:00:31.280> and<01:00:31.369> so<01:00:31.549> again<01:00:31.790> this 01:00:31.900 --> 01:00:31.910 align:start position:0% by my opponent and so again this 01:00:31.910 --> 01:00:32.859 align:start position:0% by my opponent and so again this different<01:00:32.270> people 01:00:32.859 --> 01:00:32.869 align:start position:0% different people 01:00:32.869 --> 01:00:34.660 align:start position:0% different people for<01:00:33.289> example<01:00:33.619> imagine<01:00:33.740> maybe<01:00:34.130> you<01:00:34.400> know<01:00:34.519> maybe 01:00:34.660 --> 01:00:34.670 align:start position:0% for example imagine maybe you know maybe 01:00:34.670 --> 01:00:37.569 align:start position:0% for example imagine maybe you know maybe maybe<01:00:35.359> terminates<01:00:36.190> terminates<01:00:37.190> here<01:00:37.400> and 01:00:37.569 --> 01:00:37.579 align:start position:0% maybe terminates terminates here and 01:00:37.579 --> 01:00:38.890 align:start position:0% maybe terminates terminates here and this<01:00:37.670> is<01:00:37.759> like<01:00:37.910> yeah<01:00:38.119> but<01:00:38.420> for<01:00:38.539> this<01:00:38.690> one 01:00:38.890 --> 01:00:38.900 align:start position:0% this is like yeah but for this one 01:00:38.900 --> 01:00:40.480 align:start position:0% this is like yeah but for this one there's<01:00:39.470> more<01:00:39.559> stuff<01:00:39.980> that<01:00:40.220> could<01:00:40.309> happen 01:00:40.480 --> 01:00:40.490 align:start position:0% there's more stuff that could happen 01:00:40.490 --> 01:00:43.589 align:start position:0% there's more stuff that could happen right<01:00:41.059> so<01:00:41.329> these<01:00:41.599> are<01:00:41.779> all<01:00:41.900> you<01:00:42.529> know<01:00:42.559> you<01:00:43.190> know 01:00:43.589 --> 01:00:43.599 align:start position:0% right so these are all you know you know 01:00:43.599 --> 01:00:47.920 align:start position:0% right so these are all you know you know counter<01:00:44.599> counter<01:00:44.960> counter<01:00:45.349> claims<01:00:45.619> by<01:00:46.009> oh<01:00:46.930> now 01:00:47.920 --> 01:00:47.930 align:start position:0% counter counter counter claims by oh now 01:00:47.930 --> 01:00:49.870 align:start position:0% counter counter counter claims by oh now again<01:00:48.230> he<01:00:48.499> has<01:00:48.650> to<01:00:48.680> be<01:00:48.890> able<01:00:48.950> to<01:00:49.099> nominate<01:00:49.430> that 01:00:49.870 --> 01:00:49.880 align:start position:0% again he has to be able to nominate that 01:00:49.880 --> 01:00:53.259 align:start position:0% again he has to be able to nominate that you<01:00:49.970> need<01:00:50.089> response<01:00:50.420> these<01:00:50.569> rules<01:00:50.900> okay<01:00:51.970> so<01:00:52.970> in 01:00:53.259 --> 01:00:53.269 align:start position:0% you need response these rules okay so in 01:00:53.269 --> 01:00:56.259 align:start position:0% you need response these rules okay so in effect<01:00:53.480> will<01:00:54.049> be<01:00:54.079> debt<01:00:54.380> is<01:00:54.619> that<01:00:55.150> you<01:00:56.150> know 01:00:56.259 --> 01:00:56.269 align:start position:0% effect will be debt is that you know 01:00:56.269 --> 01:00:58.269 align:start position:0% effect will be debt is that you know perhaps<01:00:56.569> Oh<01:00:56.930> couldn't<01:00:57.289> make<01:00:57.499> this<01:00:57.799> decision 01:00:58.269 --> 01:00:58.279 align:start position:0% perhaps Oh couldn't make this decision 01:00:58.279 --> 01:01:00.339 align:start position:0% perhaps Oh couldn't make this decision work<01:00:58.579> you<01:00:58.759> know<01:00:58.849> this<01:00:59.089> decision<01:00:59.509> as<01:00:59.690> well<01:00:59.930> can 01:01:00.339 --> 01:01:00.349 align:start position:0% work you know this decision as well can 01:01:00.349 --> 01:01:01.989 align:start position:0% work you know this decision as well can make<01:01:00.559> these<01:01:00.680> books<01:01:00.920> but<01:01:01.519> we<01:01:01.670> want<01:01:01.819> to<01:01:01.910> pick 01:01:01.989 --> 01:01:01.999 align:start position:0% make these books but we want to pick 01:01:01.999 --> 01:01:05.140 align:start position:0% make these books but we want to pick just<01:01:02.180> one<01:01:02.299> right<01:01:03.019> so<01:01:03.470> this<01:01:03.950> this<01:01:04.640> has<01:01:04.940> to<01:01:05.059> be 01:01:05.140 --> 01:01:05.150 align:start position:0% just one right so this this has to be 01:01:05.150 --> 01:01:05.589 align:start position:0% just one right so this this has to be chosen 01:01:05.589 --> 01:01:05.599 align:start position:0% chosen 01:01:05.599 --> 01:01:07.120 align:start position:0% chosen this<01:01:05.930> has<01:01:06.109> to<01:01:06.230> be<01:01:06.259> chose<01:01:06.470> missus<01:01:06.859> we<01:01:06.980> chose 01:01:07.120 --> 01:01:07.130 align:start position:0% this has to be chose missus we chose 01:01:07.130 --> 01:01:08.890 align:start position:0% this has to be chose missus we chose this<01:01:07.309> has<01:01:07.460> to<01:01:07.549> be<01:01:07.609> chosen<01:01:07.999> this<01:01:08.599> has<01:01:08.779> been 01:01:08.890 --> 01:01:08.900 align:start position:0% this has to be chosen this has been 01:01:08.900 --> 01:01:10.779 align:start position:0% this has to be chosen this has been chosen<01:01:09.079> this<01:01:09.440> has<01:01:09.619> to<01:01:09.710> be<01:01:09.769> chosen<01:01:09.920> assumptions 01:01:10.779 --> 01:01:10.789 align:start position:0% chosen this has to be chosen assumptions 01:01:10.789 --> 01:01:12.819 align:start position:0% chosen this has to be chosen assumptions listen<01:01:11.059> to<01:01:11.269> these<01:01:11.390> are<01:01:11.539> on<01:01:11.599> week<01:01:11.900> and<01:01:12.140> then<01:01:12.559> all 01:01:12.819 --> 01:01:12.829 align:start position:0% listen to these are on week and then all 01:01:12.829 --> 01:01:16.509 align:start position:0% listen to these are on week and then all possible<01:01:13.490> plays<01:01:13.730> by<01:01:14.329> an<01:01:14.509> opponent<01:01:15.249> have<01:01:16.249> to<01:01:16.400> be 01:01:16.509 --> 01:01:16.519 align:start position:0% possible plays by an opponent have to be 01:01:16.519 --> 01:01:18.549 align:start position:0% possible plays by an opponent have to be have<01:01:16.849> to<01:01:16.880> be<01:01:16.999> a<01:01:17.119> numerator<01:01:17.539> does<01:01:18.289> that<01:01:18.440> make 01:01:18.549 --> 01:01:18.559 align:start position:0% have to be a numerator does that make 01:01:18.559 --> 01:01:21.249 align:start position:0% have to be a numerator does that make sense<01:01:18.670> this<01:01:19.670> is<01:01:19.730> a<01:01:19.819> strategy<01:01:20.089> anything<01:01:21.049> like 01:01:21.249 --> 01:01:21.259 align:start position:0% sense this is a strategy anything like 01:01:21.259 --> 01:01:22.630 align:start position:0% sense this is a strategy anything like what<01:01:21.440> it<01:01:21.559> does<01:01:21.680> this<01:01:22.009> is<01:01:22.160> one<01:01:22.309> gonna<01:01:22.490> do 01:01:22.630 --> 01:01:22.640 align:start position:0% what it does this is one gonna do 01:01:22.640 --> 01:01:24.730 align:start position:0% what it does this is one gonna do anything<01:01:23.359> he<01:01:23.539> does<01:01:23.720> after<01:01:23.990> that<01:01:24.140> this<01:01:24.470> is<01:01:24.619> what 01:01:24.730 --> 01:01:24.740 align:start position:0% anything he does after that this is what 01:01:24.740 --> 01:01:26.410 align:start position:0% anything he does after that this is what I'm<01:01:24.859> gonna<01:01:24.980> do<01:01:25.220> right<01:01:25.369> down<01:01:25.730> to<01:01:25.880> strategy 01:01:26.410 --> 01:01:26.420 align:start position:0% I'm gonna do right down to strategy 01:01:26.420 --> 01:01:28.779 align:start position:0% I'm gonna do right down to strategy because<01:01:26.839> this<01:01:26.930> makes<01:01:27.109> sense<01:01:27.789> questions 01:01:28.779 --> 01:01:28.789 align:start position:0% because this makes sense questions 01:01:28.789 --> 01:01:35.109 align:start position:0% because this makes sense questions comments<01:01:29.329> concerns 01:01:35.109 --> 01:01:35.119 align:start position:0% 01:01:35.119 --> 01:01:39.219 align:start position:0% all<01:01:35.660> right<01:01:36.279> well<01:01:37.630> let's<01:01:38.630> have<01:01:38.749> it<01:01:38.809> a<01:01:38.869> strategy 01:01:39.219 --> 01:01:39.229 align:start position:0% all right well let's have it a strategy 01:01:39.229 --> 01:01:41.950 align:start position:0% all right well let's have it a strategy so<01:01:39.529> we<01:01:39.559> just<01:01:39.890> did<01:01:40.069> the<01:01:40.579> game<01:01:40.729> true<01:01:40.910> or<01:01:41.089> false<01:01:41.690> or 01:01:41.950 --> 01:01:41.960 align:start position:0% so we just did the game true or false or 01:01:41.960 --> 01:01:44.709 align:start position:0% so we just did the game true or false or true<01:01:42.009> okay<01:01:43.009> and<01:01:43.579> it<01:01:43.729> turns<01:01:43.759> out<01:01:44.119> that<01:01:44.390> stretch 01:01:44.709 --> 01:01:44.719 align:start position:0% true okay and it turns out that stretch 01:01:44.719 --> 01:01:47.019 align:start position:0% true okay and it turns out that stretch is<01:01:44.869> very<01:01:45.079> easy<01:01:45.289> to<01:01:45.440> look<01:01:45.710> at<01:01:45.890> it<01:01:46.609> turns<01:01:46.819> out 01:01:47.019 --> 01:01:47.029 align:start position:0% is very easy to look at it turns out 01:01:47.029 --> 01:01:50.140 align:start position:0% is very easy to look at it turns out that<01:01:47.390> our<01:01:47.539> strategy<01:01:47.809> haha<01:01:48.619> what<01:01:49.160> a<01:01:49.190> shocker<01:01:49.489> is 01:01:50.140 --> 01:01:50.150 align:start position:0% that our strategy haha what a shocker is 01:01:50.150 --> 01:01:53.229 align:start position:0% that our strategy haha what a shocker is one<01:01:50.569> of<01:01:50.749> these<01:01:50.930> so<01:01:51.229> normally<01:01:51.769> this<01:01:52.430> sub-tree 01:01:53.229 --> 01:01:53.239 align:start position:0% one of these so normally this sub-tree 01:01:53.239 --> 01:01:56.469 align:start position:0% one of these so normally this sub-tree or<01:01:54.170> this<01:01:54.529> subtree<01:01:55.039> on<01:01:55.249> both<01:01:55.460> strategies<01:01:56.239> okay 01:01:56.469 --> 01:01:56.479 align:start position:0% or this subtree on both strategies okay 01:01:56.479 --> 01:01:57.880 align:start position:0% or this subtree on both strategies okay the<01:01:56.779> strategy<01:01:57.109> here<01:01:57.229> kids<01:01:57.440> I've<01:01:57.589> been<01:01:57.619> pretty 01:01:57.880 --> 01:01:57.890 align:start position:0% the strategy here kids I've been pretty 01:01:57.890 --> 01:01:58.930 align:start position:0% the strategy here kids I've been pretty easy<01:01:57.950> because<01:01:58.160> we've<01:01:58.400> got<01:01:58.489> a<01:01:58.519> lot<01:01:58.670> of<01:01:58.700> knots 01:01:58.930 --> 01:01:58.940 align:start position:0% easy because we've got a lot of knots 01:01:58.940 --> 01:02:00.459 align:start position:0% easy because we've got a lot of knots here<01:01:59.180> we've<01:01:59.749> got<01:01:59.839> a<01:01:59.900> lot<01:02:00.019> of<01:02:00.079> things<01:02:00.319> where 01:02:00.459 --> 01:02:00.469 align:start position:0% here we've got a lot of things where 01:02:00.469 --> 01:02:01.660 align:start position:0% here we've got a lot of things where there<01:02:00.589> are<01:02:00.680> main<01:02:00.859> choices<01:02:01.249> to<01:02:01.369> be<01:02:01.460> made 01:02:01.660 --> 01:02:01.670 align:start position:0% there are main choices to be made 01:02:01.670 --> 01:02:04.359 align:start position:0% there are main choices to be made so<01:02:02.119> in<01:02:02.269> pieces<01:02:02.749> this<01:02:02.960> only<01:02:03.469> has<01:02:03.739> one<01:02:03.979> response 01:02:04.359 --> 01:02:04.369 align:start position:0% so in pieces this only has one response 01:02:04.369 --> 01:02:08.499 align:start position:0% so in pieces this only has one response so<01:02:05.059> PE<01:02:05.359> Husson<01:02:05.869> but<01:02:06.289> but<01:02:06.529> but<01:02:06.799> now<01:02:06.979> for<01:02:07.579> for<01:02:08.029> for 01:02:08.499 --> 01:02:08.509 align:start position:0% so PE Husson but but but now for for for 01:02:08.509 --> 01:02:11.109 align:start position:0% so PE Husson but but but now for for for most<01:02:08.660> response<01:02:09.079> a<01:02:09.289> strategy<01:02:09.769> for<01:02:09.979> P<01:02:10.190> has<01:02:10.849> to<01:02:11.029> be 01:02:11.109 --> 01:02:11.119 align:start position:0% most response a strategy for P has to be 01:02:11.119 --> 01:02:13.779 align:start position:0% most response a strategy for P has to be to<01:02:11.239> choose<01:02:11.559> one<01:02:12.559> or<01:02:12.859> the<01:02:12.950> other<01:02:13.160> actions 01:02:13.779 --> 01:02:13.789 align:start position:0% to choose one or the other actions 01:02:13.789 --> 01:02:15.640 align:start position:0% to choose one or the other actions America<01:02:14.180> okay<01:02:14.569> so<01:02:14.960> let's<01:02:15.109> say<01:02:15.259> P's<01:02:15.469> gonna 01:02:15.640 --> 01:02:15.650 align:start position:0% America okay so let's say P's gonna 01:02:15.650 --> 01:02:17.200 align:start position:0% America okay so let's say P's gonna choose<01:02:15.829> this<01:02:16.069> action<01:02:16.489> okay 01:02:17.200 --> 01:02:17.210 align:start position:0% choose this action okay 01:02:17.210 --> 01:02:19.329 align:start position:0% choose this action okay now<01:02:17.599> of<01:02:17.900> course<01:02:17.930> we<01:02:18.380> have<01:02:18.529> the<01:02:18.739> response<01:02:19.009> by<01:02:19.160> oh 01:02:19.329 --> 01:02:19.339 align:start position:0% now of course we have the response by oh 01:02:19.339 --> 01:02:21.640 align:start position:0% now of course we have the response by oh and<01:02:19.700> then<01:02:20.180> she<01:02:20.210> chooses<01:02:20.809> a<01:02:20.989> response<01:02:21.349> together 01:02:21.640 --> 01:02:21.650 align:start position:0% and then she chooses a response together 01:02:21.650 --> 01:02:23.680 align:start position:0% and then she chooses a response together now<01:02:21.979> there's<01:02:22.160> not<01:02:22.249> many<01:02:22.400> branches<01:02:22.999> here<01:02:23.239> right 01:02:23.680 --> 01:02:23.690 align:start position:0% now there's not many branches here right 01:02:23.690 --> 01:02:25.269 align:start position:0% now there's not many branches here right so<01:02:23.900> it's<01:02:24.019> very<01:02:24.079> easy<01:02:24.200> to<01:02:24.499> see<01:02:24.710> that<01:02:24.859> he<01:02:25.039> was 01:02:25.269 --> 01:02:25.279 align:start position:0% so it's very easy to see that he was 01:02:25.279 --> 01:02:27.459 align:start position:0% so it's very easy to see that he was doing<01:02:25.400> in<01:02:25.609> this<01:02:25.900> but<01:02:26.900> this<01:02:27.019> is<01:02:27.170> a<01:02:27.200> strategy 01:02:27.459 --> 01:02:27.469 align:start position:0% doing in this but this is a strategy 01:02:27.469 --> 01:02:29.049 align:start position:0% doing in this but this is a strategy there's<01:02:27.920> a<01:02:27.950> basis<01:02:28.249> everyone<01:02:28.579> helped<01:02:28.789> us<01:02:28.880> with 01:02:29.049 --> 01:02:29.059 align:start position:0% there's a basis everyone helped us with 01:02:29.059 --> 01:02:35.890 align:start position:0% there's a basis everyone helped us with this<01:02:29.210> strategy<01:02:33.819> is<01:02:34.819> this<01:02:34.999> interactive<01:02:35.569> or<01:02:35.719> not 01:02:35.890 --> 01:02:35.900 align:start position:0% this strategy is this interactive or not 01:02:35.900 --> 01:02:39.489 align:start position:0% this strategy is this interactive or not interactive<01:02:36.440> so<01:02:36.979> the<01:02:37.940> this<01:02:38.569> so<01:02:38.930> this<01:02:39.140> this 01:02:39.489 --> 01:02:39.499 align:start position:0% interactive so the this so this this 01:02:39.499 --> 01:02:42.059 align:start position:0% interactive so the this so this this without<01:02:40.039> any<01:02:40.309> highlights<01:02:40.640> this<01:02:40.910> tree<01:02:41.119> here<01:02:41.420> is 01:02:42.059 --> 01:02:42.069 align:start position:0% without any highlights this tree here is 01:02:42.069 --> 01:02:44.799 align:start position:0% without any highlights this tree here is the<01:02:43.069> full<01:02:43.400> possible<01:02:44.150> set<01:02:44.420> of<01:02:44.599> all 01:02:44.799 --> 01:02:44.809 align:start position:0% the full possible set of all 01:02:44.809 --> 01:02:48.459 align:start position:0% the full possible set of all interactions<01:02:45.400> okay<01:02:46.400> so<01:02:47.059> these<01:02:47.960> games<01:02:48.229> are 01:02:48.459 --> 01:02:48.469 align:start position:0% interactions okay so these games are 01:02:48.469 --> 01:02:51.130 align:start position:0% interactions okay so these games are definitely<01:02:48.950> interactive<01:02:49.519> like<01:02:50.140> they're 01:02:51.130 --> 01:02:51.140 align:start position:0% definitely interactive like they're 01:02:51.140 --> 01:02:53.920 align:start position:0% definitely interactive like they're meant<01:02:51.619> to<01:02:51.680> be<01:02:51.769> describing<01:02:52.309> piano<01:02:53.059> interacting 01:02:53.920 --> 01:02:53.930 align:start position:0% meant to be describing piano interacting 01:02:53.930 --> 01:02:55.630 align:start position:0% meant to be describing piano interacting or<01:02:54.319> challenging<01:02:54.799> and<01:02:54.920> Patrick<01:02:55.219> childhood 01:02:55.630 --> 01:02:55.640 align:start position:0% or challenging and Patrick childhood 01:02:55.640 --> 01:02:56.640 align:start position:0% or challenging and Patrick childhood kamikaze 01:02:56.640 --> 01:02:56.650 align:start position:0% kamikaze 01:02:56.650 --> 01:02:59.380 align:start position:0% kamikaze right<01:02:57.650> so<01:02:58.130> this<01:02:58.279> defines<01:02:58.460> all<01:02:58.849> the<01:02:59.000> possible 01:02:59.380 --> 01:02:59.390 align:start position:0% right so this defines all the possible 01:02:59.390 --> 01:03:02.500 align:start position:0% right so this defines all the possible actions<01:02:59.569> okay<01:03:00.470> a<01:03:00.710> strategy<01:03:01.579> for<01:03:02.059> one<01:03:02.269> player 01:03:02.500 --> 01:03:02.510 align:start position:0% actions okay a strategy for one player 01:03:02.510 --> 01:03:05.170 align:start position:0% actions okay a strategy for one player defines<01:03:03.200> the<01:03:03.440> specific<01:03:04.130> action<01:03:04.549> that<01:03:04.579> they 01:03:05.170 --> 01:03:05.180 align:start position:0% defines the specific action that they 01:03:05.180 --> 01:03:07.120 align:start position:0% defines the specific action that they are<01:03:05.539> going<01:03:05.869> to<01:03:05.960> take<01:03:06.200> that<01:03:06.230> they<01:03:06.529> could<01:03:06.859> take 01:03:07.120 --> 01:03:07.130 align:start position:0% are going to take that they could take 01:03:07.130 --> 01:03:09.549 align:start position:0% are going to take that they could take in<01:03:07.880> response<01:03:08.029> to<01:03:08.359> all<01:03:08.539> possible<01:03:08.990> actions<01:03:09.380> by 01:03:09.549 --> 01:03:09.559 align:start position:0% in response to all possible actions by 01:03:09.559 --> 01:03:12.309 align:start position:0% in response to all possible actions by the<01:03:09.619> other<01:03:09.920> one<01:03:10.069> okay<01:03:10.789> so<01:03:11.150> every<01:03:11.720> time<01:03:11.869> we<01:03:12.049> show 01:03:12.309 --> 01:03:12.319 align:start position:0% the other one okay so every time we show 01:03:12.319 --> 01:03:15.099 align:start position:0% the other one okay so every time we show a<01:03:12.349> strategy<01:03:13.130> routine<01:03:13.490> every<01:03:14.180> time<01:03:14.359> we<01:03:14.480> have<01:03:14.630> a 01:03:15.099 --> 01:03:15.109 align:start position:0% a strategy routine every time we have a 01:03:15.109 --> 01:03:17.200 align:start position:0% a strategy routine every time we have a play<01:03:15.769> by<01:03:15.950> oh<01:03:16.130> we<01:03:16.579> didn't<01:03:16.760> write<01:03:17.000> one 01:03:17.200 --> 01:03:17.210 align:start position:0% play by oh we didn't write one 01:03:17.210 --> 01:03:19.900 align:start position:0% play by oh we didn't write one particular<01:03:18.170> response<01:03:18.890> might<01:03:19.099> be<01:03:19.130> so<01:03:19.700> it's<01:03:19.819> my 01:03:19.900 --> 01:03:19.910 align:start position:0% particular response might be so it's my 01:03:19.910 --> 01:03:22.120 align:start position:0% particular response might be so it's my strategy<01:03:20.359> like<01:03:20.690> shows<01:03:21.079> which<01:03:21.559> one<01:03:21.829> I'm<01:03:21.950> going 01:03:22.120 --> 01:03:22.130 align:start position:0% strategy like shows which one I'm going 01:03:22.130 --> 01:03:24.099 align:start position:0% strategy like shows which one I'm going to<01:03:22.220> do<01:03:22.400> okay<01:03:22.819> so<01:03:22.880> realistically<01:03:23.660> like<01:03:23.869> oh 01:03:24.099 --> 01:03:24.109 align:start position:0% to do okay so realistically like oh 01:03:24.109 --> 01:03:25.809 align:start position:0% to do okay so realistically like oh would<01:03:24.380> not<01:03:24.559> send<01:03:24.890> that<01:03:25.069> first<01:03:25.369> one<01:03:25.609> he<01:03:25.730> would 01:03:25.809 --> 01:03:25.819 align:start position:0% would not send that first one he would 01:03:25.819 --> 01:03:27.880 align:start position:0% would not send that first one he would just<01:03:25.970> jump<01:03:26.240> down<01:03:26.420> to<01:03:26.599> the<01:03:26.690> last<01:03:26.900> time<01:03:27.260> he<01:03:27.470> sends 01:03:27.880 --> 01:03:27.890 align:start position:0% just jump down to the last time he sends 01:03:27.890 --> 01:03:30.519 align:start position:0% just jump down to the last time he sends an<01:03:28.069> interaction<01:03:28.970> and<01:03:29.089> then<01:03:29.240> people<01:03:29.539> private 01:03:30.519 --> 01:03:30.529 align:start position:0% an interaction and then people private 01:03:30.529 --> 01:03:32.470 align:start position:0% an interaction and then people private correct<01:03:31.069> so<01:03:31.309> realistically<01:03:31.880> if<01:03:32.119> you<01:03:32.240> want<01:03:32.420> to 01:03:32.470 --> 01:03:32.480 align:start position:0% correct so realistically if you want to 01:03:32.480 --> 01:03:34.089 align:start position:0% correct so realistically if you want to make<01:03:32.569> this<01:03:32.720> an<01:03:32.930> efficient<01:03:33.319> smart<01:03:33.470> contractor 01:03:34.089 --> 01:03:34.099 align:start position:0% make this an efficient smart contractor 01:03:34.099 --> 01:03:35.289 align:start position:0% make this an efficient smart contractor you<01:03:34.190> don't<01:03:34.339> have<01:03:34.549> a<01:03:34.609> timeout<01:03:34.849> through<01:03:35.180> this 01:03:35.289 --> 01:03:35.299 align:start position:0% you don't have a timeout through this 01:03:35.299 --> 01:03:38.859 align:start position:0% you don't have a timeout through this part<01:03:35.569> this<01:03:36.019> is<01:03:36.079> more<01:03:36.410> of<01:03:36.470> this<01:03:37.369> look<01:03:37.880> so<01:03:38.660> in 01:03:38.859 --> 01:03:38.869 align:start position:0% part this is more of this look so in 01:03:38.869 --> 01:03:41.200 align:start position:0% part this is more of this look so in reality<01:03:39.349> obviously<01:03:40.099> not<01:03:40.339> not<01:03:40.549> always<01:03:40.940> reduces 01:03:41.200 --> 01:03:41.210 align:start position:0% reality obviously not not always reduces 01:03:41.210 --> 01:03:45.160 align:start position:0% reality obviously not not always reduces to<01:03:41.420> not<01:03:41.599> and<01:03:41.839> not<01:03:42.349> you<01:03:42.680> know<01:03:42.710> not<01:03:43.010> not<01:03:43.359> yeah<01:03:44.359> not 01:03:45.160 --> 01:03:45.170 align:start position:0% to not and not you know not not yeah not 01:03:45.170 --> 01:03:47.380 align:start position:0% to not and not you know not not yeah not as<01:03:45.470> reduces<01:03:45.799> to<01:03:45.920> the<01:03:46.309> thing<01:03:46.519> and<01:03:46.760> not<01:03:47.210> not 01:03:47.380 --> 01:03:47.390 align:start position:0% as reduces to the thing and not not 01:03:47.390 --> 01:03:49.150 align:start position:0% as reduces to the thing and not not always<01:03:47.599> reason<01:03:48.019> to<01:03:48.109> the<01:03:48.170> thing<01:03:48.410> but<01:03:48.859> and<01:03:49.069> so 01:03:49.150 --> 01:03:49.160 align:start position:0% always reason to the thing but and so 01:03:49.160 --> 01:03:51.190 align:start position:0% always reason to the thing but and so obviously<01:03:49.579> personality<01:03:50.180> test<01:03:50.569> into<01:03:50.990> one 01:03:51.190 --> 01:03:51.200 align:start position:0% obviously personality test into one 01:03:51.200 --> 01:03:53.620 align:start position:0% obviously personality test into one dispute<01:03:51.920> period<01:03:52.309> in<01:03:52.670> the<01:03:53.059> actual<01:03:53.390> smart 01:03:53.620 --> 01:03:53.630 align:start position:0% dispute period in the actual smart 01:03:53.630 --> 01:03:55.660 align:start position:0% dispute period in the actual smart contract<01:03:53.960> innovation<01:03:54.529> well<01:03:55.099> I<01:03:55.250> will<01:03:55.490> ignore 01:03:55.660 --> 01:03:55.670 align:start position:0% contract innovation well I will ignore 01:03:55.670 --> 01:03:57.250 align:start position:0% contract innovation well I will ignore that<01:03:55.789> for<01:03:56.059> here<01:03:56.269> because<01:03:56.420> we're<01:03:56.900> just<01:03:56.930> trying 01:03:57.250 --> 01:03:57.260 align:start position:0% that for here because we're just trying 01:03:57.260 --> 01:04:00.250 align:start position:0% that for here because we're just trying to<01:03:57.319> get<01:03:58.130> something<01:03:58.640> from<01:03:59.029> semantics<01:03:59.660> that's 01:04:00.250 --> 01:04:00.260 align:start position:0% to get something from semantics that's 01:04:00.260 --> 01:04:03.059 align:start position:0% to get something from semantics that's like<01:04:00.380> that<01:04:00.470> you<01:04:00.589> know<01:04:00.650> an<01:04:00.740> equation<01:04:00.799> you<01:04:01.369> know 01:04:03.059 --> 01:04:03.069 align:start position:0% like that you know an equation you know 01:04:03.069 --> 01:04:05.410 align:start position:0% like that you know an equation you know to<01:04:04.069> take<01:04:04.309> this<01:04:04.430> like<01:04:04.640> it<01:04:04.759> in<01:04:04.880> another<01:04:05.240> example 01:04:05.410 --> 01:04:05.420 align:start position:0% to take this like it in another example 01:04:05.420 --> 01:04:07.599 align:start position:0% to take this like it in another example is<01:04:05.839> similar<01:04:06.170> to<01:04:06.470> how<01:04:06.589> like<01:04:06.829> tic-tac-toe<01:04:07.220> is<01:04:07.579> a 01:04:07.599 --> 01:04:07.609 align:start position:0% is similar to how like tic-tac-toe is a 01:04:07.609 --> 01:04:09.549 align:start position:0% is similar to how like tic-tac-toe is a salt<01:04:07.910> game<01:04:08.210> and<01:04:08.420> there<01:04:08.599> is<01:04:08.690> a<01:04:08.779> strategy<01:04:09.079> to 01:04:09.549 --> 01:04:09.559 align:start position:0% salt game and there is a strategy to 01:04:09.559 --> 01:04:11.740 align:start position:0% salt game and there is a strategy to always<01:04:09.890> win<01:04:10.039> tic-tac-toe<01:04:10.579> exactly<01:04:11.569> right 01:04:11.740 --> 01:04:11.750 align:start position:0% always win tic-tac-toe exactly right 01:04:11.750 --> 01:04:13.599 align:start position:0% always win tic-tac-toe exactly right exactly<01:04:11.930> right<01:04:12.410> yeah<01:04:12.799> it's<01:04:12.890> not<01:04:12.980> like<01:04:13.099> the<01:04:13.279> the 01:04:13.599 --> 01:04:13.609 align:start position:0% exactly right yeah it's not like the the 01:04:13.609 --> 01:04:16.450 align:start position:0% exactly right yeah it's not like the the first<01:04:14.529> assertion<01:04:15.529> ie<01:04:15.799> I<01:04:15.950> don't<01:04:16.130> remember<01:04:16.279> what 01:04:16.450 --> 01:04:16.460 align:start position:0% first assertion ie I don't remember what 01:04:16.460 --> 01:04:17.799 align:start position:0% first assertion ie I don't remember what you<01:04:16.519> call<01:04:16.700> them<01:04:16.789> but<01:04:16.849> the<01:04:16.970> first<01:04:17.119> on<01:04:17.509> the<01:04:17.630> left 01:04:17.799 --> 01:04:17.809 align:start position:0% you call them but the first on the left 01:04:17.809 --> 01:04:19.630 align:start position:0% you call them but the first on the left side<01:04:18.049> is<01:04:18.619> like<01:04:18.890> setting<01:04:19.250> up<01:04:19.400> the<01:04:19.490> keyboard 01:04:19.630 --> 01:04:19.640 align:start position:0% side is like setting up the keyboard 01:04:19.640 --> 01:04:20.480 align:start position:0% side is like setting up the keyboard particular 01:04:20.480 --> 01:04:20.490 align:start position:0% particular 01:04:20.490 --> 01:04:23.120 align:start position:0% particular exactly<01:04:21.480> right<01:04:21.660> exactly<01:04:22.080> the<01:04:22.650> next<01:04:22.859> steps<01:04:23.040> are 01:04:23.120 --> 01:04:23.130 align:start position:0% exactly right exactly the next steps are 01:04:23.130 --> 01:04:25.070 align:start position:0% exactly right exactly the next steps are all<01:04:23.280> the<01:04:23.460> games<01:04:23.609> but<01:04:24.180> in<01:04:24.270> our<01:04:24.420> case<01:04:24.599> the<01:04:24.869> king 01:04:25.070 --> 01:04:25.080 align:start position:0% all the games but in our case the king 01:04:25.080 --> 01:04:26.810 align:start position:0% all the games but in our case the king board<01:04:25.380> is<01:04:25.589> not<01:04:25.740> a<01:04:25.800> tic-tac-toe<01:04:26.400> board 01:04:26.810 --> 01:04:26.820 align:start position:0% board is not a tic-tac-toe board 01:04:26.820 --> 01:04:29.210 align:start position:0% board is not a tic-tac-toe board okay<01:04:27.450> the<01:04:27.570> board<01:04:27.750> is<01:04:27.900> AC<01:04:28.380> is<01:04:28.530> a<01:04:28.650> logical 01:04:29.210 --> 01:04:29.220 align:start position:0% okay the board is AC is a logical 01:04:29.220 --> 01:04:30.800 align:start position:0% okay the board is AC is a logical statement<01:04:29.520> and<01:04:30.030> the<01:04:30.119> logical<01:04:30.450> statement 01:04:30.800 --> 01:04:30.810 align:start position:0% statement and the logical statement 01:04:30.810 --> 01:04:33.109 align:start position:0% statement and the logical statement progresses<01:04:31.290> through<01:04:31.440> each<01:04:31.530> thing<01:04:31.800> yes<01:04:32.119> and 01:04:33.109 --> 01:04:33.119 align:start position:0% progresses through each thing yes and 01:04:33.119 --> 01:04:35.120 align:start position:0% progresses through each thing yes and this<01:04:33.300> is<01:04:33.480> why<01:04:33.660> for<01:04:33.690> a<01:04:34.020> layer<01:04:34.170> 2<01:04:34.440> protocol<01:04:34.830> you 01:04:35.120 --> 01:04:35.130 align:start position:0% this is why for a layer 2 protocol you 01:04:35.130 --> 01:04:36.680 align:start position:0% this is why for a layer 2 protocol you would<01:04:35.339> not<01:04:35.460> play<01:04:35.760> chess<01:04:36.060> you<01:04:36.359> would<01:04:36.510> play 01:04:36.680 --> 01:04:36.690 align:start position:0% would not play chess you would play 01:04:36.690 --> 01:04:38.359 align:start position:0% would not play chess you would play tic-tac-toe<01:04:37.230> because<01:04:37.710> we<01:04:37.830> always<01:04:38.099> want<01:04:38.310> to 01:04:38.359 --> 01:04:38.369 align:start position:0% tic-tac-toe because we always want to 01:04:38.369 --> 01:04:39.980 align:start position:0% tic-tac-toe because we always want to know<01:04:38.460> that<01:04:38.820> we<01:04:39.000> have<01:04:39.180> our<01:04:39.330> money<01:04:39.510> you<01:04:39.780> don't 01:04:39.980 --> 01:04:39.990 align:start position:0% know that we have our money you don't 01:04:39.990 --> 01:04:42.230 align:start position:0% know that we have our money you don't want<01:04:40.200> to<01:04:40.380> have<01:04:40.560> to<01:04:40.740> compute<01:04:41.369> enactment<01:04:41.940> when 01:04:42.230 --> 01:04:42.240 align:start position:0% want to have to compute enactment when 01:04:42.240 --> 01:04:45.430 align:start position:0% want to have to compute enactment when you<01:04:42.390> know<01:04:42.480> I'm<01:04:42.570> not<01:04:42.900> infinite<01:04:43.380> but<01:04:43.410> a<01:04:43.680> mass<01:04:44.130> is 01:04:45.430 --> 01:04:45.440 align:start position:0% you know I'm not infinite but a mass is 01:04:45.440 --> 01:04:48.829 align:start position:0% you know I'm not infinite but a mass is exactly<01:04:46.440> right<01:04:46.650> exactly<01:04:47.190> right<01:04:47.550> now<01:04:47.940> so<01:04:48.390> just 01:04:48.829 --> 01:04:48.839 align:start position:0% exactly right exactly right now so just 01:04:48.839 --> 01:04:50.300 align:start position:0% exactly right exactly right now so just wouldn't<01:04:49.109> be<01:04:49.170> very<01:04:49.349> useful<01:04:49.710> in<01:04:49.770> this<01:04:49.890> room<01:04:50.099> all 01:04:50.300 --> 01:04:50.310 align:start position:0% wouldn't be very useful in this room all 01:04:50.310 --> 01:04:52.280 align:start position:0% wouldn't be very useful in this room all eyes<01:04:50.430> just<01:04:50.730> all<01:04:50.880> been<01:04:51.089> about<01:04:51.300> maybe<01:04:51.480> a<01:04:51.839> I<01:04:51.869> saw 01:04:52.280 --> 01:04:52.290 align:start position:0% eyes just all been about maybe a I saw 01:04:52.290 --> 01:04:54.070 align:start position:0% eyes just all been about maybe a I saw up<01:04:52.349> like<01:04:52.560> all<01:04:52.680> the<01:04:52.800> games 01:04:54.070 --> 01:04:54.080 align:start position:0% up like all the games 01:04:54.080 --> 01:04:56.300 align:start position:0% up like all the games there's<01:04:55.080> some<01:04:55.290> gamers<01:04:55.650> that's<01:04:55.830> awful<01:04:56.220> we 01:04:56.300 --> 01:04:56.310 align:start position:0% there's some gamers that's awful we 01:04:56.310 --> 01:04:57.530 align:start position:0% there's some gamers that's awful we wouldn't<01:04:56.520> want<01:04:56.640> to<01:04:56.670> apply<01:04:56.880> this<01:04:56.940> ran<01:04:57.240> into<01:04:57.420> it 01:04:57.530 --> 01:04:57.540 align:start position:0% wouldn't want to apply this ran into it 01:04:57.540 --> 01:04:58.040 align:start position:0% wouldn't want to apply this ran into it what's<01:04:57.810> wrong 01:04:58.040 --> 01:04:58.050 align:start position:0% what's wrong 01:04:58.050 --> 01:05:00.200 align:start position:0% what's wrong yeah<01:04:58.380> so<01:04:58.980> what<01:04:59.160> you<01:04:59.670> really<01:04:59.940> have<01:05:00.060> to 01:05:00.200 --> 01:05:00.210 align:start position:0% yeah so what you really have to 01:05:00.210 --> 01:05:02.030 align:start position:0% yeah so what you really have to enumerate<01:05:00.510> all<01:05:01.050> strategies<01:05:01.650> I<01:05:01.680> just 01:05:02.030 --> 01:05:02.040 align:start position:0% enumerate all strategies I just 01:05:02.040 --> 01:05:04.790 align:start position:0% enumerate all strategies I just enumerated<01:05:02.630> and<01:05:03.630> stop<01:05:04.020> as<01:05:04.170> soon<01:05:04.320> as<01:05:04.440> he<01:05:04.560> finds 01:05:04.790 --> 01:05:04.800 align:start position:0% enumerated and stop as soon as he finds 01:05:04.800 --> 01:05:08.349 align:start position:0% enumerated and stop as soon as he finds a<01:05:04.920> winning<01:05:05.190> strategy 01:05:08.349 --> 01:05:08.359 align:start position:0% 01:05:08.359 --> 01:05:10.760 align:start position:0% definitely<01:05:09.359> we<01:05:09.540> do<01:05:09.720> to<01:05:09.900> have<01:05:10.109> a<01:05:10.140> securely<01:05:10.619> I 01:05:10.760 --> 01:05:10.770 align:start position:0% definitely we do to have a securely I 01:05:10.770 --> 01:05:12.579 align:start position:0% definitely we do to have a securely I chose<01:05:11.010> another<01:05:11.190> for<01:05:11.520> all<01:05:11.670> that<01:05:11.880> Varitek<01:05:12.240> me 01:05:12.579 --> 01:05:12.589 align:start position:0% chose another for all that Varitek me 01:05:12.589 --> 01:05:14.890 align:start position:0% chose another for all that Varitek me you<01:05:13.589> don't<01:05:13.800> have<01:05:14.070> to<01:05:14.250> finally<01:05:14.760> it<01:05:14.849> just 01:05:14.890 --> 01:05:14.900 align:start position:0% you don't have to finally it just 01:05:14.900 --> 01:05:17.240 align:start position:0% you don't have to finally it just absolutely<01:05:15.900> right<01:05:16.109> like<01:05:16.530> one<01:05:16.740> strategy<01:05:17.010> that 01:05:17.240 --> 01:05:17.250 align:start position:0% absolutely right like one strategy that 01:05:17.250 --> 01:05:19.099 align:start position:0% absolutely right like one strategy that leads<01:05:17.550> to<01:05:17.730> be<01:05:17.849> out<01:05:17.940> community<01:05:18.480> tend<01:05:18.839> to<01:05:18.990> have 01:05:19.099 --> 01:05:19.109 align:start position:0% leads to be out community tend to have 01:05:19.109 --> 01:05:21.440 align:start position:0% leads to be out community tend to have and<01:05:19.380> then<01:05:19.500> absolutely<01:05:20.400> right<01:05:20.940> to<01:05:21.089> do<01:05:21.210> to 01:05:21.440 --> 01:05:21.450 align:start position:0% and then absolutely right to do to 01:05:21.450 --> 01:05:23.839 align:start position:0% and then absolutely right to do to continue<01:05:22.230> so<01:05:22.530> to<01:05:22.589> have<01:05:22.770> safety<01:05:23.099> in<01:05:23.430> a<01:05:23.520> sense<01:05:23.760> of 01:05:23.839 --> 01:05:23.849 align:start position:0% continue so to have safety in a sense of 01:05:23.849 --> 01:05:25.940 align:start position:0% continue so to have safety in a sense of layer<01:05:24.000> to<01:05:24.270> what<01:05:24.810> we<01:05:24.990> want<01:05:25.200> to<01:05:25.260> say<01:05:25.440> to<01:05:25.500> say<01:05:25.770> that 01:05:25.940 --> 01:05:25.950 align:start position:0% layer to what we want to say to say that 01:05:25.950 --> 01:05:28.010 align:start position:0% layer to what we want to say to say that a<01:05:25.980> protocol<01:05:26.400> is<01:05:26.580> safe<01:05:26.820> in<01:05:27.030> layer<01:05:27.180> two<01:05:27.420> is<01:05:27.630> that 01:05:28.010 --> 01:05:28.020 align:start position:0% a protocol is safe in layer two is that 01:05:28.020 --> 01:05:29.450 align:start position:0% a protocol is safe in layer two is that the<01:05:28.140> winning<01:05:28.349> strategy<01:05:28.619> can<01:05:28.950> always<01:05:29.130> be<01:05:29.280> found 01:05:29.450 --> 01:05:29.460 align:start position:0% the winning strategy can always be found 01:05:29.460 --> 01:05:31.099 align:start position:0% the winning strategy can always be found by<01:05:29.670> the<01:05:29.820> person<01:05:30.210> you<01:05:30.390> know<01:05:30.510> defending<01:05:30.960> their 01:05:31.099 --> 01:05:31.109 align:start position:0% by the person you know defending their 01:05:31.109 --> 01:05:32.810 align:start position:0% by the person you know defending their money<01:05:31.320> that's<01:05:31.530> what's<01:05:31.890> taking<01:05:32.040> this<01:05:32.400> deposit 01:05:32.810 --> 01:05:32.820 align:start position:0% money that's what's taking this deposit 01:05:32.820 --> 01:05:36.230 align:start position:0% money that's what's taking this deposit contract<01:05:33.950> yes<01:05:34.950> it's<01:05:35.520> possible<01:05:35.700> to<01:05:35.970> be<01:05:36.060> great 01:05:36.230 --> 01:05:36.240 align:start position:0% contract yes it's possible to be great 01:05:36.240 --> 01:05:37.849 align:start position:0% contract yes it's possible to be great also<01:05:36.630> the<01:05:36.720> different<01:05:37.050> possibilities<01:05:37.560> because 01:05:37.849 --> 01:05:37.859 align:start position:0% also the different possibilities because 01:05:37.859 --> 01:05:40.370 align:start position:0% also the different possibilities because if<01:05:37.980> you<01:05:38.099> have<01:05:38.190> a<01:05:38.220> graph<01:05:38.580> that<01:05:38.609> is<01:05:38.940> huge<01:05:39.540> like 01:05:40.370 --> 01:05:40.380 align:start position:0% if you have a graph that is huge like 01:05:40.380 --> 01:05:42.680 align:start position:0% if you have a graph that is huge like wind<01:05:40.589> up<01:05:40.740> with<01:05:40.950> like<01:05:41.160> just<01:05:41.849> beautiful<01:05:42.450> seeing 01:05:42.680 --> 01:05:42.690 align:start position:0% wind up with like just beautiful seeing 01:05:42.690 --> 01:05:45.349 align:start position:0% wind up with like just beautiful seeing also<01:05:42.869> strategies<01:05:43.440> and<01:05:43.680> way<01:05:44.460> to<01:05:44.520> have<01:05:45.089> a<01:05:45.119> way<01:05:45.330> to 01:05:45.349 --> 01:05:45.359 align:start position:0% also strategies and way to have a way to 01:05:45.359 --> 01:05:48.230 align:start position:0% also strategies and way to have a way to set<01:05:45.660> one<01:05:45.990> over<01:05:46.980> another<01:05:47.250> because<01:05:47.520> always<01:05:48.000> we 01:05:48.230 --> 01:05:48.240 align:start position:0% set one over another because always we 01:05:48.240 --> 01:05:50.300 align:start position:0% set one over another because always we take<01:05:48.540> actress<01:05:48.900> like<01:05:49.080> maybe<01:05:49.349> one<01:05:50.130> little 01:05:50.300 --> 01:05:50.310 align:start position:0% take actress like maybe one little 01:05:50.310 --> 01:05:52.280 align:start position:0% take actress like maybe one little country<01:05:50.700> just<01:05:50.940> take<01:05:51.089> the<01:05:51.300> best<01:05:51.510> strategy<01:05:52.020> ever 01:05:52.280 --> 01:05:52.290 align:start position:0% country just take the best strategy ever 01:05:52.290 --> 01:05:55.730 align:start position:0% country just take the best strategy ever on<01:05:52.740> this<01:05:53.190> try<01:05:53.940> China<01:05:54.210> whatever<01:05:54.660> so<01:05:55.290> how<01:05:55.349> do<01:05:55.410> you 01:05:55.730 --> 01:05:55.740 align:start position:0% on this try China whatever so how do you 01:05:55.740 --> 01:05:57.710 align:start position:0% on this try China whatever so how do you do<01:05:56.070> that<01:05:56.310> on<01:05:56.520> the<01:05:56.670> really<01:05:57.060> complex<01:05:57.420> set<01:05:57.660> of 01:05:57.710 --> 01:05:57.720 align:start position:0% do that on the really complex set of 01:05:57.720 --> 01:06:01.460 align:start position:0% do that on the really complex set of data<01:05:58.050> so<01:05:59.119> what<01:06:00.119> we're<01:06:00.240> not<01:06:00.270> doing<01:06:00.390> here<01:06:00.839> is 01:06:01.460 --> 01:06:01.470 align:start position:0% data so what we're not doing here is 01:06:01.470 --> 01:06:03.620 align:start position:0% data so what we're not doing here is proposing<01:06:02.010> that<01:06:02.490> all<01:06:02.700> logical<01:06:03.150> expressions 01:06:03.620 --> 01:06:03.630 align:start position:0% proposing that all logical expressions 01:06:03.630 --> 01:06:04.300 align:start position:0% proposing that all logical expressions can<01:06:03.780> be 01:06:04.300 --> 01:06:04.310 align:start position:0% can be 01:06:04.310 --> 01:06:05.770 align:start position:0% can be as<01:06:04.490> a<01:06:04.520> different<01:06:04.910> layer<01:06:05.030> to<01:06:05.240> gaming<01:06:05.630> that<01:06:05.750> is 01:06:05.770 --> 01:06:05.780 align:start position:0% as a different layer to gaming that is 01:06:05.780 --> 01:06:08.680 align:start position:0% as a different layer to gaming that is meaningful<01:06:06.740> most<01:06:07.550> of<01:06:07.940> the<01:06:08.060> expressions<01:06:08.600> that 01:06:08.680 --> 01:06:08.690 align:start position:0% meaningful most of the expressions that 01:06:08.690 --> 01:06:10.540 align:start position:0% meaningful most of the expressions that we<01:06:08.840> interpret<01:06:09.140> with<01:06:09.350> the<01:06:09.470> semantics<01:06:09.950> are<01:06:10.340> not 01:06:10.540 --> 01:06:10.550 align:start position:0% we interpret with the semantics are not 01:06:10.550 --> 01:06:11.740 align:start position:0% we interpret with the semantics are not gonna<01:06:10.730> be<01:06:10.850> meaningful<01:06:11.240> they're<01:06:11.420> gonna<01:06:11.510> be<01:06:11.630> on 01:06:11.740 --> 01:06:11.750 align:start position:0% gonna be meaningful they're gonna be on 01:06:11.750 --> 01:06:14.260 align:start position:0% gonna be meaningful they're gonna be on safe<01:06:12.020> protocols<01:06:12.590> and<01:06:12.860> I<01:06:12.950> can<01:06:13.100> be<01:06:13.190> useful<01:06:13.670> maybe 01:06:14.260 --> 01:06:14.270 align:start position:0% safe protocols and I can be useful maybe 01:06:14.270 --> 01:06:15.220 align:start position:0% safe protocols and I can be useful maybe they're<01:06:14.450> not<01:06:14.540> gonna<01:06:14.660> be<01:06:14.750> able<01:06:14.780> to<01:06:14.930> move<01:06:15.050> money 01:06:15.220 --> 01:06:15.230 align:start position:0% they're not gonna be able to move money 01:06:15.230 --> 01:06:16.870 align:start position:0% they're not gonna be able to move money around<01:06:15.320> or<01:06:15.560> whatever<01:06:15.710> the<01:06:16.310> point<01:06:16.520> is<01:06:16.610> that<01:06:16.730> we 01:06:16.870 --> 01:06:16.880 align:start position:0% around or whatever the point is that we 01:06:16.880 --> 01:06:19.030 align:start position:0% around or whatever the point is that we can<01:06:16.910> find<01:06:17.210> some<01:06:17.420> of<01:06:17.510> them<01:06:17.660> that<01:06:18.080> do<01:06:18.350> correspond 01:06:19.030 --> 01:06:19.040 align:start position:0% can find some of them that do correspond 01:06:19.040 --> 01:06:20.560 align:start position:0% can find some of them that do correspond to<01:06:19.370> the<01:06:19.640> player<01:06:19.850> to<01:06:20.030> protocol<01:06:20.420> so 01:06:20.560 --> 01:06:20.570 align:start position:0% to the player to protocol so 01:06:20.570 --> 01:06:23.340 align:start position:0% to the player to protocol so particularly<01:06:20.960> state<01:06:21.770> channels<01:06:22.190> plasmas 01:06:23.340 --> 01:06:23.350 align:start position:0% particularly state channels plasmas 01:06:23.350 --> 01:06:25.690 align:start position:0% particularly state channels plasmas things<01:06:24.350> like<01:06:24.530> Troopa<01:06:24.980> and<01:06:25.310> optimistic 01:06:25.690 --> 01:06:25.700 align:start position:0% things like Troopa and optimistic 01:06:25.700 --> 01:06:27.490 align:start position:0% things like Troopa and optimistic roll-up<01:06:26.030> all<01:06:26.270> of<01:06:26.420> these<01:06:26.570> things<01:06:26.780> are<01:06:27.110> very 01:06:27.490 --> 01:06:27.500 align:start position:0% roll-up all of these things are very 01:06:27.500 --> 01:06:31.000 align:start position:0% roll-up all of these things are very simple<01:06:28.280> games<01:06:28.670> which<01:06:29.150> do<01:06:29.480> have<01:06:30.080> continuing 01:06:31.000 --> 01:06:31.010 align:start position:0% simple games which do have continuing 01:06:31.010 --> 01:06:32.860 align:start position:0% simple games which do have continuing strategies<01:06:31.430> so<01:06:31.670> like<01:06:31.850> Carlos<01:06:32.150> said<01:06:32.300> you<01:06:32.750> don't 01:06:32.860 --> 01:06:32.870 align:start position:0% strategies so like Carlos said you don't 01:06:32.870 --> 01:06:34.870 align:start position:0% strategies so like Carlos said you don't you<01:06:33.140> don't<01:06:33.230> make<01:06:33.500> chess<01:06:33.980> out<01:06:34.160> of<01:06:34.250> this<01:06:34.400> you 01:06:34.870 --> 01:06:34.880 align:start position:0% you don't make chess out of this you 01:06:34.880 --> 01:06:36.550 align:start position:0% you don't make chess out of this you make<01:06:35.060> tic-tac-toe<01:06:35.690> something<01:06:36.380> that<01:06:36.470> is 01:06:36.550 --> 01:06:36.560 align:start position:0% make tic-tac-toe something that is 01:06:36.560 --> 01:06:38.500 align:start position:0% make tic-tac-toe something that is playable<01:06:36.890> right<01:06:37.340> so<01:06:37.700> this<01:06:37.880> is<01:06:38.030> what<01:06:38.270> this<01:06:38.450> is 01:06:38.500 --> 01:06:38.510 align:start position:0% playable right so this is what this is 01:06:38.510 --> 01:06:40.600 align:start position:0% playable right so this is what this is what<01:06:38.690> layer<01:06:38.870> 2<01:06:39.080> protocols<01:06:39.470> were<01:06:39.610> developers 01:06:40.600 --> 01:06:40.610 align:start position:0% what layer 2 protocols were developers 01:06:40.610 --> 01:06:41.830 align:start position:0% what layer 2 protocols were developers were<01:06:40.790> doing<01:06:41.060> when<01:06:41.210> they<01:06:41.300> invented<01:06:41.630> state 01:06:41.830 --> 01:06:41.840 align:start position:0% were doing when they invented state 01:06:41.840 --> 01:06:44.290 align:start position:0% were doing when they invented state channels<01:06:42.200> they<01:06:42.710> they<01:06:43.160> didn't<01:06:43.400> realize<01:06:43.760> it<01:06:44.000> but 01:06:44.290 --> 01:06:44.300 align:start position:0% channels they they didn't realize it but 01:06:44.300 --> 01:06:45.790 align:start position:0% channels they they didn't realize it but they<01:06:44.450> were<01:06:44.510> finding<01:06:45.020> these<01:06:45.290> sequences<01:06:45.770> of 01:06:45.790 --> 01:06:45.800 align:start position:0% they were finding these sequences of 01:06:45.800 --> 01:06:47.020 align:start position:0% they were finding these sequences of expressions<01:06:46.400> these<01:06:46.550> challenges<01:06:46.970> and 01:06:47.020 --> 01:06:47.030 align:start position:0% expressions these challenges and 01:06:47.030 --> 01:06:49.150 align:start position:0% expressions these challenges and responses<01:06:47.540> in<01:06:47.900> which<01:06:48.050> the<01:06:48.200> client<01:06:48.410> could<01:06:48.710> like 01:06:49.150 --> 01:06:49.160 align:start position:0% responses in which the client could like 01:06:49.160 --> 01:06:51.490 align:start position:0% responses in which the client could like have<01:06:50.030> a<01:06:50.060> chance<01:06:50.450> at<01:06:50.690> actually<01:06:51.110> computing 01:06:51.490 --> 01:06:51.500 align:start position:0% have a chance at actually computing 01:06:51.500 --> 01:06:54.400 align:start position:0% have a chance at actually computing what's<01:06:51.650> going<01:06:51.890> on<01:06:52.750> yes<01:06:53.750> could<01:06:54.140> you<01:06:54.200> do 01:06:54.400 --> 01:06:54.410 align:start position:0% what's going on yes could you do 01:06:54.410 --> 01:06:57.910 align:start position:0% what's going on yes could you do something<01:06:54.710> like<01:06:54.830> turning<01:06:55.610> a<01:06:55.700> complete<01:06:56.920> and 01:06:57.910 --> 01:06:57.920 align:start position:0% something like turning a complete and 01:06:57.920 --> 01:07:01.180 align:start position:0% something like turning a complete and then<01:06:58.430> do<01:06:58.610> a<01:06:58.640> problem<01:06:59.330> that<01:07:00.050> department 01:07:01.180 --> 01:07:01.190 align:start position:0% then do a problem that department 01:07:01.190 --> 01:07:03.430 align:start position:0% then do a problem that department absolutely<01:07:01.910> absolutely<01:07:02.180> good<01:07:02.750> so<01:07:03.110> state 01:07:03.430 --> 01:07:03.440 align:start position:0% absolutely absolutely good so state 01:07:03.440 --> 01:07:05.290 align:start position:0% absolutely absolutely good so state channels<01:07:03.800> are<01:07:03.920> gay<01:07:04.010> example<01:07:04.400> of<01:07:04.460> this<01:07:04.640> I<01:07:04.850> can 01:07:05.290 --> 01:07:05.300 align:start position:0% channels are gay example of this I can 01:07:05.300 --> 01:07:07.540 align:start position:0% channels are gay example of this I can play<01:07:05.390> as<01:07:05.720> a<01:07:05.750> chess<01:07:06.410> game<01:07:06.650> in<01:07:06.860> a<01:07:06.980> state<01:07:07.190> channel 01:07:07.540 --> 01:07:07.550 align:start position:0% play as a chess game in a state channel 01:07:07.550 --> 01:07:10.570 align:start position:0% play as a chess game in a state channel but<01:07:08.360> the<01:07:08.990> dispute<01:07:09.380> game<01:07:09.680> is<01:07:09.890> not<01:07:10.070> going<01:07:10.400> to<01:07:10.490> be 01:07:10.570 --> 01:07:10.580 align:start position:0% but the dispute game is not going to be 01:07:10.580 --> 01:07:12.070 align:start position:0% but the dispute game is not going to be about<01:07:10.730> it<01:07:11.150> is<01:07:11.300> not<01:07:11.450> going<01:07:11.630> to<01:07:11.690> be<01:07:11.750> me<01:07:11.870> fighting 01:07:12.070 --> 01:07:12.080 align:start position:0% about it is not going to be me fighting 01:07:12.080 --> 01:07:13.540 align:start position:0% about it is not going to be me fighting my<01:07:12.230> winning<01:07:12.470> stretch<01:07:12.650> the<01:07:12.980> chess<01:07:13.190> game<01:07:13.220> it's 01:07:13.540 --> 01:07:13.550 align:start position:0% my winning stretch the chess game it's 01:07:13.550 --> 01:07:14.530 align:start position:0% my winning stretch the chess game it's gonna<01:07:13.640> be<01:07:13.790> me<01:07:13.910> fighting<01:07:14.270> the<01:07:14.330> winning 01:07:14.530 --> 01:07:14.540 align:start position:0% gonna be me fighting the winning 01:07:14.540 --> 01:07:16.390 align:start position:0% gonna be me fighting the winning strategy<01:07:14.990> for<01:07:15.200> proving<01:07:15.770> the<01:07:15.860> highest<01:07:16.220> signed 01:07:16.390 --> 01:07:16.400 align:start position:0% strategy for proving the highest signed 01:07:16.400 --> 01:07:18.190 align:start position:0% strategy for proving the highest signed which<01:07:16.820> we<01:07:17.000> sign<01:07:17.210> nods<01:07:17.480> to<01:07:17.630> the<01:07:17.720> smart<01:07:18.050> contract 01:07:18.190 --> 01:07:18.200 align:start position:0% which we sign nods to the smart contract 01:07:18.200 --> 01:07:20.140 align:start position:0% which we sign nods to the smart contract and<01:07:18.680> that's<01:07:19.070> the<01:07:19.340> channel<01:07:19.670> stuff<01:07:19.880> and<01:07:20.060> the 01:07:20.140 --> 01:07:20.150 align:start position:0% and that's the channel stuff and the 01:07:20.150 --> 01:07:21.400 align:start position:0% and that's the channel stuff and the chest<01:07:20.390> that<01:07:20.480> is<01:07:20.600> a<01:07:20.630> layer<01:07:20.870> on<01:07:20.900> top<01:07:21.080> of<01:07:21.260> that 01:07:21.400 --> 01:07:21.410 align:start position:0% chest that is a layer on top of that 01:07:21.410 --> 01:07:23.950 align:start position:0% chest that is a layer on top of that exactly<01:07:22.040> right<01:07:22.220> exactly<01:07:22.460> right<01:07:22.820> yes<01:07:23.210> it<01:07:23.660> seems 01:07:23.950 --> 01:07:23.960 align:start position:0% exactly right exactly right yes it seems 01:07:23.960 --> 01:07:26.200 align:start position:0% exactly right exactly right yes it seems like<01:07:24.140> I'm<01:07:24.470> being<01:07:24.680> like<01:07:25.430> finding<01:07:25.880> the<01:07:25.910> correct 01:07:26.200 --> 01:07:26.210 align:start position:0% like I'm being like finding the correct 01:07:26.210 --> 01:07:27.850 align:start position:0% like I'm being like finding the correct finding<01:07:26.600> if<01:07:26.840> you<01:07:26.930> have<01:07:27.080> a<01:07:27.110> winning<01:07:27.320> strategy 01:07:27.850 --> 01:07:27.860 align:start position:0% finding if you have a winning strategy 01:07:27.860 --> 01:07:29.470 align:start position:0% finding if you have a winning strategy for<01:07:27.890> the<01:07:28.190> for<01:07:28.430> all<01:07:28.610> it's<01:07:28.910> got<01:07:29.030> hard<01:07:29.300> because 01:07:29.470 --> 01:07:29.480 align:start position:0% for the for all it's got hard because 01:07:29.480 --> 01:07:32.110 align:start position:0% for the for all it's got hard because you<01:07:29.720> have<01:07:29.960> a<01:07:30.140> like<01:07:30.440> you<01:07:30.800> need<01:07:31.610> to<01:07:31.640> find<01:07:31.880> a<01:07:31.940> team 01:07:32.110 --> 01:07:32.120 align:start position:0% you have a like you need to find a team 01:07:32.120 --> 01:07:34.090 align:start position:0% you have a like you need to find a team absolutely<01:07:32.690> right<01:07:32.870> and<01:07:33.050> so<01:07:33.290> and<01:07:33.620> so<01:07:33.650> the<01:07:33.890> for 01:07:34.090 --> 01:07:34.100 align:start position:0% absolutely right and so and so the for 01:07:34.100 --> 01:07:37.150 align:start position:0% absolutely right and so and so the for all<01:07:34.220> in<01:07:34.460> practice<01:07:34.940> there's<01:07:35.930> two<01:07:36.140> ways<01:07:36.350> there's 01:07:37.150 --> 01:07:37.160 align:start position:0% all in practice there's two ways there's 01:07:37.160 --> 01:07:39.490 align:start position:0% all in practice there's two ways there's two<01:07:37.370> common<01:07:38.210> ways<01:07:38.510> to<01:07:38.570> be<01:07:38.990> able<01:07:39.050> to<01:07:39.170> compute 01:07:39.490 --> 01:07:39.500 align:start position:0% two common ways to be able to compute 01:07:39.500 --> 01:07:42.280 align:start position:0% two common ways to be able to compute for<01:07:39.710> all<01:07:39.860> so<01:07:40.640> one<01:07:40.970> for<01:07:41.210> all<01:07:41.420> that<01:07:41.900> we<01:07:42.020> can<01:07:42.140> do 01:07:42.280 --> 01:07:42.290 align:start position:0% for all so one for all that we can do 01:07:42.290 --> 01:07:44.590 align:start position:0% for all so one for all that we can do keep<01:07:42.470> for<01:07:42.620> easily<01:07:42.890> is<01:07:43.280> if<01:07:43.760> we<01:07:43.880> say<01:07:44.060> for<01:07:44.450> all 01:07:44.590 --> 01:07:44.600 align:start position:0% keep for easily is if we say for all 01:07:44.600 --> 01:07:46.480 align:start position:0% keep for easily is if we say for all things<01:07:44.870> such<01:07:45.290> that<01:07:45.320> signed<01:07:45.710> by<01:07:45.920> me<01:07:46.100> or<01:07:46.340> such 01:07:46.480 --> 01:07:46.490 align:start position:0% things such that signed by me or such 01:07:46.490 --> 01:07:48.940 align:start position:0% things such that signed by me or such that<01:07:46.640> signed<01:07:46.910> by<01:07:47.090> me<01:07:47.270> I<01:07:47.540> know<01:07:47.930> exactly 01:07:48.940 --> 01:07:48.950 align:start position:0% that signed by me I know exactly 01:07:48.950 --> 01:07:50.319 align:start position:0% that signed by me I know exactly and<01:07:49.130> I<01:07:49.190> can<01:07:49.339> enumerate<01:07:49.520> that<01:07:49.849> so<01:07:50.060> that's<01:07:50.240> a 01:07:50.319 --> 01:07:50.329 align:start position:0% and I can enumerate that so that's a 01:07:50.329 --> 01:07:52.359 align:start position:0% and I can enumerate that so that's a nice<01:07:50.480> for<01:07:50.720> all<01:07:50.839> another<01:07:51.589> for<01:07:51.890> all<01:07:52.040> that<01:07:52.190> we<01:07:52.280> use 01:07:52.359 --> 01:07:52.369 align:start position:0% nice for all another for all that we use 01:07:52.369 --> 01:07:56.140 align:start position:0% nice for all another for all that we use in<01:07:52.520> plasma<01:07:52.970> is<01:07:53.329> for<01:07:53.780> all<01:07:53.990> blocks<01:07:54.440> less<01:07:54.800> than<01:07:55.150> X 01:07:56.140 --> 01:07:56.150 align:start position:0% in plasma is for all blocks less than X 01:07:56.150 --> 01:07:58.000 align:start position:0% in plasma is for all blocks less than X and<01:07:56.570> now<01:07:56.900> that<01:07:57.079> we<01:07:57.170> can<01:07:57.349> numerate<01:07:57.650> because<01:07:57.890> we 01:07:58.000 --> 01:07:58.010 align:start position:0% and now that we can numerate because we 01:07:58.010 --> 01:07:59.560 align:start position:0% and now that we can numerate because we doesn't<01:07:58.310> go<01:07:58.400> with<01:07:58.579> the<01:07:58.670> X<01:07:58.820> X<01:07:59.060> minus<01:07:59.119> 1<01:07:59.420> X<01:07:59.450> minus 01:07:59.560 --> 01:07:59.570 align:start position:0% doesn't go with the X X minus 1 X minus 01:07:59.570 --> 01:08:01.870 align:start position:0% doesn't go with the X X minus 1 X minus 2<01:07:59.839> to<01:08:00.020> 0<01:08:00.050> so<01:08:00.440> it's<01:08:00.589> a<01:08:00.619> finite<01:08:00.980> set<01:08:01.250> and<01:08:01.760> so 01:08:01.870 --> 01:08:01.880 align:start position:0% 2 to 0 so it's a finite set and so 01:08:01.880 --> 01:08:03.700 align:start position:0% 2 to 0 so it's a finite set and so absolutely<01:08:02.300> there<01:08:02.690> are<01:08:02.810> tons<01:08:03.109> of<01:08:03.260> games<01:08:03.500> here 01:08:03.700 --> 01:08:03.710 align:start position:0% absolutely there are tons of games here 01:08:03.710 --> 01:08:05.109 align:start position:0% absolutely there are tons of games here that<01:08:03.740> we<01:08:03.890> come<01:08:04.099> up<01:08:04.190> with<01:08:04.339> that<01:08:04.550> are<01:08:04.910> not 01:08:05.109 --> 01:08:05.119 align:start position:0% that we come up with that are not 01:08:05.119 --> 01:08:07.120 align:start position:0% that we come up with that are not computable<01:08:05.660> and<01:08:05.960> are<01:08:06.020> like<01:08:06.170> very<01:08:06.589> very<01:08:06.680> hard 01:08:07.120 --> 01:08:07.130 align:start position:0% computable and are like very very hard 01:08:07.130 --> 01:08:08.980 align:start position:0% computable and are like very very hard to<01:08:07.339> reason<01:08:07.520> about<01:08:07.640> but<01:08:08.119> some<01:08:08.329> of<01:08:08.450> them<01:08:08.599> turn 01:08:08.980 --> 01:08:08.990 align:start position:0% to reason about but some of them turn 01:08:08.990 --> 01:08:10.720 align:start position:0% to reason about but some of them turn out<01:08:09.079> to<01:08:09.230> be<01:08:09.260> lazy<01:08:09.470> protocols<01:08:10.010> and<01:08:10.250> so<01:08:10.490> we<01:08:10.579> think 01:08:10.720 --> 01:08:10.730 align:start position:0% out to be lazy protocols and so we think 01:08:10.730 --> 01:08:12.400 align:start position:0% out to be lazy protocols and so we think that's<01:08:10.910> pretty<01:08:11.030> cool<01:08:11.200> yeah 01:08:12.400 --> 01:08:12.410 align:start position:0% that's pretty cool yeah 01:08:12.410 --> 01:08:14.170 align:start position:0% that's pretty cool yeah other<01:08:12.589> questions<01:08:12.950> great<01:08:13.190> questions<01:08:13.520> yes<01:08:13.790> the 01:08:14.170 --> 01:08:14.180 align:start position:0% other questions great questions yes the 01:08:14.180 --> 01:08:16.090 align:start position:0% other questions great questions yes the way<01:08:14.300> each<01:08:14.599> step<01:08:15.050> like<01:08:15.560> he's<01:08:15.710> stepping<01:08:16.009> the 01:08:16.090 --> 01:08:16.100 align:start position:0% way each step like he's stepping the 01:08:16.100 --> 01:08:18.970 align:start position:0% way each step like he's stepping the trade<01:08:16.339> felt<01:08:16.730> it<01:08:16.910> would<01:08:17.029> have<01:08:17.450> an<01:08:17.660> extra<01:08:18.319> pair 01:08:18.970 --> 01:08:18.980 align:start position:0% trade felt it would have an extra pair 01:08:18.980 --> 01:08:22.209 align:start position:0% trade felt it would have an extra pair and<01:08:19.509> in<01:08:20.509> theory<01:08:20.810> each<01:08:21.140> stuff<01:08:21.380> without<01:08:21.770> that<01:08:22.040> is 01:08:22.209 --> 01:08:22.219 align:start position:0% and in theory each stuff without that is 01:08:22.219 --> 01:08:24.190 align:start position:0% and in theory each stuff without that is great<01:08:22.609> in<01:08:22.790> reality<01:08:23.299> what<01:08:23.660> you<01:08:23.690> actually<01:08:24.080> have 01:08:24.190 --> 01:08:24.200 align:start position:0% great in reality what you actually have 01:08:24.200 --> 01:08:25.390 align:start position:0% great in reality what you actually have mr.<01:08:24.410> Turing<01:08:24.589> this<01:08:24.739> is<01:08:24.799> what<01:08:24.920> this<01:08:25.100> is<01:08:25.160> was 01:08:25.390 --> 01:08:25.400 align:start position:0% mr. Turing this is what this is was 01:08:25.400 --> 01:08:27.519 align:start position:0% mr. Turing this is what this is was mentioned<01:08:25.700> earlier<01:08:26.060> is<01:08:26.630> only<01:08:27.109> when<01:08:27.290> there's<01:08:27.440> a 01:08:27.519 --> 01:08:27.529 align:start position:0% mentioned earlier is only when there's a 01:08:27.529 --> 01:08:29.289 align:start position:0% mentioned earlier is only when there's a choice<01:08:27.710> to<01:08:27.890> be<01:08:27.920> made<01:08:28.009> so<01:08:28.339> particularly<01:08:29.180> the 01:08:29.289 --> 01:08:29.299 align:start position:0% choice to be made so particularly the 01:08:29.299 --> 01:08:31.809 align:start position:0% choice to be made so particularly the time<01:08:29.509> that<01:08:29.690> really<01:08:29.980> ends<01:08:30.980> up<01:08:31.069> gift-getting 01:08:31.809 --> 01:08:31.819 align:start position:0% time that really ends up gift-getting 01:08:31.819 --> 01:08:33.579 align:start position:0% time that really ends up gift-getting you<01:08:32.089> would<01:08:32.239> hop<01:08:32.390> to<01:08:32.509> a<01:08:32.540> dimension<01:08:32.900> time<01:08:33.080> up<01:08:33.230> is 01:08:33.579 --> 01:08:33.589 align:start position:0% you would hop to a dimension time up is 01:08:33.589 --> 01:08:35.289 align:start position:0% you would hop to a dimension time up is when<01:08:33.799> you<01:08:33.859> got<01:08:33.950> a<01:08:34.009> needle<01:08:34.279> for<01:08:34.400> all<01:08:34.730> or<01:08:35.000> hand 01:08:35.289 --> 01:08:35.299 align:start position:0% when you got a needle for all or hand 01:08:35.299 --> 01:08:36.490 align:start position:0% when you got a needle for all or hand and<01:08:35.569> you<01:08:35.719> have<01:08:35.810> to<01:08:35.900> make<01:08:36.020> a<01:08:36.049> choice<01:08:36.230> see 01:08:36.490 --> 01:08:36.500 align:start position:0% and you have to make a choice see 01:08:36.500 --> 01:08:38.200 align:start position:0% and you have to make a choice see they're<01:08:36.650> not<01:08:36.770> the<01:08:37.009> left<01:08:37.190> side<01:08:37.430> and<01:08:37.700> or<01:08:37.940> not<01:08:38.060> the 01:08:38.200 --> 01:08:38.210 align:start position:0% they're not the left side and or not the 01:08:38.210 --> 01:08:40.209 align:start position:0% they're not the left side and or not the right<01:08:38.359> side<01:08:38.540> at<01:08:38.630> the<01:08:38.719> end<01:08:38.750> but<01:08:39.440> but<01:08:39.799> but<01:08:40.040> you 01:08:40.209 --> 01:08:40.219 align:start position:0% right side at the end but but but you 01:08:40.219 --> 01:08:41.709 align:start position:0% right side at the end but but but you can<01:08:40.400> doesn't<01:08:40.700> you<01:08:40.790> any<01:08:41.060> pianist<01:08:41.509> should 01:08:41.709 --> 01:08:41.719 align:start position:0% can doesn't you any pianist should 01:08:41.719 --> 01:08:44.110 align:start position:0% can doesn't you any pianist should design<01:08:42.170> the<01:08:42.290> contracts<01:08:42.830> on<01:08:42.920> that<01:08:43.120> expression 01:08:44.110 --> 01:08:44.120 align:start position:0% design the contracts on that expression 01:08:44.120 --> 01:08:46.360 align:start position:0% design the contracts on that expression not<01:08:44.420> got<01:08:44.630> to<01:08:44.810> you<01:08:44.930> is<01:08:45.200> automatically<01:08:45.950> reduced 01:08:46.360 --> 01:08:46.370 align:start position:0% not got to you is automatically reduced 01:08:46.370 --> 01:08:48.820 align:start position:0% not got to you is automatically reduced to<01:08:46.670> T<01:08:46.850> because<01:08:47.600> this<01:08:47.779> is<01:08:47.930> the<01:08:48.049> only<01:08:48.080> possible 01:08:48.820 --> 01:08:48.830 align:start position:0% to T because this is the only possible 01:08:48.830 --> 01:08:50.380 align:start position:0% to T because this is the only possible place<01:08:48.890> so<01:08:49.279> why<01:08:49.430> play<01:08:49.489> time<01:08:49.940> on<01:08:50.120> it<01:08:50.270> can 01:08:50.380 --> 01:08:50.390 align:start position:0% place so why play time on it can 01:08:50.390 --> 01:08:51.459 align:start position:0% place so why play time on it can automatically<01:08:50.900> be<01:08:51.109> reduced 01:08:51.459 --> 01:08:51.469 align:start position:0% automatically be reduced 01:08:51.469 --> 01:08:53.620 align:start position:0% automatically be reduced yeah<01:08:51.620> well<01:08:51.920> in<01:08:52.339> person<01:08:52.819> like<01:08:52.940> lost<01:08:53.210> my<01:08:53.420> I<01:08:53.450> mean 01:08:53.620 --> 01:08:53.630 align:start position:0% yeah well in person like lost my I mean 01:08:53.630 --> 01:08:57.039 align:start position:0% yeah well in person like lost my I mean do<01:08:53.870> more<01:08:54.170> if<01:08:54.290> you<01:08:54.410> sell<01:08:54.650> but<01:08:55.460> if<01:08:55.759> like<01:08:56.690> every 01:08:57.039 --> 01:08:57.049 align:start position:0% do more if you sell but if like every 01:08:57.049 --> 01:08:58.870 align:start position:0% do more if you sell but if like every game<01:08:57.230> has<01:08:57.469> to<01:08:57.620> share<01:08:57.859> this<01:08:58.009> day<01:08:58.190> interior<01:08:58.640> so 01:08:58.870 --> 01:08:58.880 align:start position:0% game has to share this day interior so 01:08:58.880 --> 01:09:00.579 align:start position:0% game has to share this day interior so like<01:08:59.060> from<01:08:59.569> the<01:08:59.690> start<01:08:59.960> to<01:09:00.080> the<01:09:00.170> end<01:09:00.200> that<01:09:00.469> have 01:09:00.579 --> 01:09:00.589 align:start position:0% like from the start to the end that have 01:09:00.589 --> 01:09:03.249 align:start position:0% like from the start to the end that have to<01:09:00.710> be<01:09:00.859> in<01:09:01.009> this<01:09:01.160> game<01:09:01.690> can<01:09:02.690> I<01:09:02.779> have<01:09:02.989> different 01:09:03.249 --> 01:09:03.259 align:start position:0% to be in this game can I have different 01:09:03.259 --> 01:09:03.910 align:start position:0% to be in this game can I have different gifts 01:09:03.910 --> 01:09:03.920 align:start position:0% gifts 01:09:03.920 --> 01:09:07.720 align:start position:0% gifts apparently<01:09:04.640> yes<01:09:05.210> so<01:09:05.540> actually<01:09:06.320> and<01:09:06.530> so<01:09:06.730> we 01:09:07.720 --> 01:09:07.730 align:start position:0% apparently yes so actually and so we 01:09:07.730 --> 01:09:09.640 align:start position:0% apparently yes so actually and so we touched<01:09:08.090> on<01:09:08.180> this<01:09:08.270> in<01:09:08.390> the<01:09:08.450> paper<01:09:08.630> MVP<01:09:09.410> is<01:09:09.470> one 01:09:09.640 --> 01:09:09.650 align:start position:0% touched on this in the paper MVP is one 01:09:09.650 --> 01:09:11.380 align:start position:0% touched on this in the paper MVP is one of<01:09:09.740> the<01:09:09.800> very<01:09:09.980> interesting<01:09:10.250> examples<01:09:11.150> of 01:09:11.380 --> 01:09:11.390 align:start position:0% of the very interesting examples of 01:09:11.390 --> 01:09:12.850 align:start position:0% of the very interesting examples of games<01:09:11.660> that<01:09:11.960> doesn't<01:09:12.380> rate<01:09:12.560> into<01:09:12.740> this 01:09:12.850 --> 01:09:12.860 align:start position:0% games that doesn't rate into this 01:09:12.860 --> 01:09:14.800 align:start position:0% games that doesn't rate into this magnetism<01:09:13.250> planet<01:09:13.700> not<01:09:13.850> even<01:09:14.090> new<01:09:14.270> connected 01:09:14.800 --> 01:09:14.810 align:start position:0% magnetism planet not even new connected 01:09:14.810 --> 01:09:15.340 align:start position:0% magnetism planet not even new connected to<01:09:14.960> do<01:09:15.080> it 01:09:15.340 --> 01:09:15.350 align:start position:0% to do it 01:09:15.350 --> 01:09:19.240 align:start position:0% to do it the<01:09:16.120> latke<01:09:17.120> connected<01:09:17.540> so<01:09:17.960> to<01:09:18.830> not<01:09:18.950> be<01:09:19.070> playing 01:09:19.240 --> 01:09:19.250 align:start position:0% the latke connected so to not be playing 01:09:19.250 --> 01:09:21.730 align:start position:0% the latke connected so to not be playing inside<01:09:19.520> baseball<01:09:19.850> here<01:09:20.020> plasma<01:09:21.020> MVP<01:09:21.500> these 01:09:21.730 --> 01:09:21.740 align:start position:0% inside baseball here plasma MVP these 01:09:21.740 --> 01:09:23.830 align:start position:0% inside baseball here plasma MVP these are<01:09:21.920> the<01:09:22.040> original<01:09:22.490> spec<01:09:22.760> for<01:09:22.970> plasma<01:09:23.150> have 01:09:23.830 --> 01:09:23.840 align:start position:0% are the original spec for plasma have 01:09:23.840 --> 01:09:25.570 align:start position:0% are the original spec for plasma have this<01:09:23.930> thing<01:09:24.110> called<01:09:24.320> an<01:09:24.410> exit<01:09:24.800> cue<01:09:25.070> and 01:09:25.570 --> 01:09:25.580 align:start position:0% this thing called an exit cue and 01:09:25.580 --> 01:09:27.480 align:start position:0% this thing called an exit cue and basically<01:09:25.970> there<01:09:26.270> could<01:09:26.450> be<01:09:26.480> like 01:09:27.480 --> 01:09:27.490 align:start position:0% basically there could be like 01:09:27.490 --> 01:09:29.830 align:start position:0% basically there could be like transactions<01:09:28.490> forged<01:09:29.030> and<01:09:29.210> inserted<01:09:29.630> by<01:09:29.780> this 01:09:29.830 --> 01:09:29.840 align:start position:0% transactions forged and inserted by this 01:09:29.840 --> 01:09:31.540 align:start position:0% transactions forged and inserted by this malicious<01:09:30.320> music<01:09:30.710> and<01:09:31.160> the<01:09:31.250> way<01:09:31.340> that<01:09:31.490> you 01:09:31.540 --> 01:09:31.550 align:start position:0% malicious music and the way that you 01:09:31.550 --> 01:09:34.030 align:start position:0% malicious music and the way that you prove<01:09:31.820> that<01:09:31.880> they<01:09:32.210> were<01:09:32.470> forged<01:09:33.470> or<01:09:33.680> delicious 01:09:34.030 --> 01:09:34.040 align:start position:0% prove that they were forged or delicious 01:09:34.040 --> 01:09:36.280 align:start position:0% prove that they were forged or delicious was<01:09:34.550> you<01:09:34.670> proved<01:09:34.910> that<01:09:35.000> the<01:09:35.180> sum<01:09:35.540> of<01:09:35.780> all<01:09:36.080> the 01:09:36.280 --> 01:09:36.290 align:start position:0% was you proved that the sum of all the 01:09:36.290 --> 01:09:38.920 align:start position:0% was you proved that the sum of all the UT<01:09:36.560> EXO's<01:09:36.920> that<01:09:37.790> led<01:09:38.030> up<01:09:38.150> to<01:09:38.180> the<01:09:38.390> forest<01:09:38.630> once 01:09:38.920 --> 01:09:38.930 align:start position:0% UT EXO's that led up to the forest once 01:09:38.930 --> 01:09:41.050 align:start position:0% UT EXO's that led up to the forest once was<01:09:39.680> equal<01:09:40.070> to<01:09:40.130> the<01:09:40.340> total<01:09:40.460> amount<01:09:40.640> deposited 01:09:41.050 --> 01:09:41.060 align:start position:0% was equal to the total amount deposited 01:09:41.060 --> 01:09:43.330 align:start position:0% was equal to the total amount deposited into<01:09:41.510> the<01:09:41.630> contract<01:09:42.110> and<01:09:42.380> so<01:09:42.830> this<01:09:42.980> actually 01:09:43.330 --> 01:09:43.340 align:start position:0% into the contract and so this actually 01:09:43.340 --> 01:09:44.890 align:start position:0% into the contract and so this actually seems<01:09:43.460> to<01:09:43.640> be<01:09:43.760> like<01:09:43.910> a<01:09:43.940> summation<01:09:44.510> operation 01:09:44.890 --> 01:09:44.900 align:start position:0% seems to be like a summation operation 01:09:44.900 --> 01:09:47.110 align:start position:0% seems to be like a summation operation so<01:09:45.740> we<01:09:45.920> would<01:09:46.040> need<01:09:46.190> to<01:09:46.340> define<01:09:46.610> some<01:09:46.670> sort<01:09:47.060> of 01:09:47.110 --> 01:09:47.120 align:start position:0% so we would need to define some sort of 01:09:47.120 --> 01:09:49.930 align:start position:0% so we would need to define some sort of MVP<01:09:47.540> q<01:09:47.840> observation<01:09:48.620> operation<01:09:49.220> so<01:09:49.700> that<01:09:49.850> has 01:09:49.930 --> 01:09:49.940 align:start position:0% MVP q observation operation so that has 01:09:49.940 --> 01:09:50.980 align:start position:0% MVP q observation operation so that has to<01:09:50.030> be<01:09:50.120> done<01:09:50.300> been<01:09:50.510> done<01:09:50.690> this<01:09:50.870> because 01:09:50.980 --> 01:09:50.990 align:start position:0% to be done been done this because 01:09:50.990 --> 01:09:52.930 align:start position:0% to be done been done this because there's<01:09:51.260> a<01:09:51.320> lot<01:09:51.470> to<01:09:51.650> do<01:09:51.800> without<01:09:52.220> that<01:09:52.580> but 01:09:52.930 --> 01:09:52.940 align:start position:0% there's a lot to do without that but 01:09:52.940 --> 01:09:53.920 align:start position:0% there's a lot to do without that but you're<01:09:53.060> absolutely<01:09:53.180> right<01:09:53.480> that's<01:09:53.690> it<01:09:53.840> that's 01:09:53.920 --> 01:09:53.930 align:start position:0% you're absolutely right that's it that's 01:09:53.930 --> 01:09:55.480 align:start position:0% you're absolutely right that's it that's a<01:09:54.050> great<01:09:54.170> example<01:09:54.590> of<01:09:54.650> more<01:09:54.920> sort<01:09:55.250> of<01:09:55.280> game 01:09:55.480 --> 01:09:55.490 align:start position:0% a great example of more sort of game 01:09:55.490 --> 01:09:57.600 align:start position:0% a great example of more sort of game than<01:09:55.670> their<01:09:55.790> activity<01:09:56.150> yeah<01:09:56.510> absolutely<01:09:56.840> no 01:09:57.600 --> 01:09:57.610 align:start position:0% than their activity yeah absolutely no 01:09:57.610 --> 01:10:02.840 align:start position:0% than their activity yeah absolutely no other<01:09:58.610> questions 01:10:02.840 --> 01:10:02.850 align:start position:0% 01:10:02.850 --> 01:10:04.760 align:start position:0% all<01:10:03.360> right<01:10:03.540> well<01:10:03.810> I<01:10:03.840> like<01:10:04.200> him<01:10:04.290> so<01:10:04.500> keep<01:10:04.680> them 01:10:04.760 --> 01:10:04.770 align:start position:0% all right well I like him so keep them 01:10:04.770 --> 01:10:09.410 align:start position:0% all right well I like him so keep them coming<01:10:06.080> okay<01:10:07.080> we<01:10:07.380> remember<01:10:07.800> we<01:10:07.950> okay<01:10:08.420> okay 01:10:09.410 --> 01:10:09.420 align:start position:0% coming okay we remember we okay okay 01:10:09.420 --> 01:10:11.480 align:start position:0% coming okay we remember we okay okay great<01:10:09.630> so<01:10:10.290> this<01:10:10.440> is<01:10:10.650> an<01:10:10.740> example<01:10:11.010> of<01:10:11.130> a<01:10:11.220> winning 01:10:11.480 --> 01:10:11.490 align:start position:0% great so this is an example of a winning 01:10:11.490 --> 01:10:14.030 align:start position:0% great so this is an example of a winning strategy<01:10:11.730> why<01:10:12.420> is<01:10:12.480> it<01:10:12.720> winning<01:10:12.900> because<01:10:13.410> every 01:10:14.030 --> 01:10:14.040 align:start position:0% strategy why is it winning because every 01:10:14.040 --> 01:10:16.730 align:start position:0% strategy why is it winning because every possible<01:10:14.580> leaf<01:10:14.820> every<01:10:15.120> game<01:10:15.540> outcome<01:10:16.050> was<01:10:16.470> one 01:10:16.730 --> 01:10:16.740 align:start position:0% possible leaf every game outcome was one 01:10:16.740 --> 01:10:21.350 align:start position:0% possible leaf every game outcome was one Mikey<01:10:17.190> so<01:10:17.940> a<01:10:17.970> winning<01:10:18.420> strategy<01:10:18.710> is<01:10:19.710> it<01:10:20.190> is<01:10:20.970> one 01:10:21.350 --> 01:10:21.360 align:start position:0% Mikey so a winning strategy is it is one 01:10:21.360 --> 01:10:24.140 align:start position:0% Mikey so a winning strategy is it is one in<01:10:22.020> which<01:10:22.260> all<01:10:22.590> these<01:10:23.190> branches<01:10:23.520> was<01:10:23.880> on<01:10:24.030> the 01:10:24.140 --> 01:10:24.150 align:start position:0% in which all these branches was on the 01:10:24.150 --> 01:10:25.880 align:start position:0% in which all these branches was on the way<01:10:24.300> okay<01:10:24.750> so<01:10:24.810> if<01:10:25.020> we<01:10:25.140> go<01:10:25.260> back<01:10:25.440> here<01:10:25.470> right 01:10:25.880 --> 01:10:25.890 align:start position:0% way okay so if we go back here right 01:10:25.890 --> 01:10:28.190 align:start position:0% way okay so if we go back here right buddy<01:10:26.100> we<01:10:26.430> liberated<01:10:26.910> the<01:10:27.240> so<01:10:27.840> for<01:10:27.960> instance 01:10:28.190 --> 01:10:28.200 align:start position:0% buddy we liberated the so for instance 01:10:28.200 --> 01:10:29.990 align:start position:0% buddy we liberated the so for instance tic-tac-toe<01:10:28.590> has<01:10:28.830> a<01:10:28.860> lean<01:10:29.160> strategy<01:10:29.640> right 01:10:29.990 --> 01:10:30.000 align:start position:0% tic-tac-toe has a lean strategy right 01:10:30.000 --> 01:10:31.310 align:start position:0% tic-tac-toe has a lean strategy right because<01:10:30.480> we<01:10:30.600> can<01:10:30.720> numerate<01:10:31.020> all<01:10:31.230> the 01:10:31.310 --> 01:10:31.320 align:start position:0% because we can numerate all the 01:10:31.320 --> 01:10:32.870 align:start position:0% because we can numerate all the responses<01:10:31.770> by<01:10:31.800> the<01:10:31.920> button<01:10:32.280> and<01:10:32.430> then<01:10:32.700> 1 01:10:32.870 --> 01:10:32.880 align:start position:0% responses by the button and then 1 01:10:32.880 --> 01:10:34.970 align:start position:0% responses by the button and then 1 pikmin<01:10:33.030> particular<01:10:33.720> play<01:10:33.900> after<01:10:34.200> that<01:10:34.380> and<01:10:34.560> so 01:10:34.970 --> 01:10:34.980 align:start position:0% pikmin particular play after that and so 01:10:34.980 --> 01:10:36.830 align:start position:0% pikmin particular play after that and so on<01:10:35.070> and<01:10:35.190> so<01:10:35.280> forth<01:10:35.550> a<01:10:35.670> narrow<01:10:35.880> one<01:10:36.090> so<01:10:36.600> if<01:10:36.720> these 01:10:36.830 --> 01:10:36.840 align:start position:0% on and so forth a narrow one so if these 01:10:36.840 --> 01:10:41.520 align:start position:0% on and so forth a narrow one so if these are<01:10:37.020> all<01:10:37.140> one 01:10:41.520 --> 01:10:41.530 align:start position:0% 01:10:41.530 --> 01:10:43.440 align:start position:0% and<01:10:42.100> this<01:10:42.220> is<01:10:42.340> a<01:10:42.400> winning<01:10:42.670> strategy<01:10:42.940> for 01:10:43.440 --> 01:10:43.450 align:start position:0% and this is a winning strategy for 01:10:43.450 --> 01:10:45.030 align:start position:0% and this is a winning strategy for people<01:10:43.930> because<01:10:44.320> they've<01:10:44.500> all<01:10:44.620> been<01:10:44.800> won 01:10:45.030 --> 01:10:45.040 align:start position:0% people because they've all been won 01:10:45.040 --> 01:10:45.690 align:start position:0% people because they've all been won right 01:10:45.690 --> 01:10:45.700 align:start position:0% right 01:10:45.700 --> 01:10:47.490 align:start position:0% right and<01:10:45.790> so<01:10:46.180> what<01:10:46.330> this<01:10:46.450> corresponds<01:10:46.870> to<01:10:47.020> in<01:10:47.350> later 01:10:47.490 --> 01:10:47.500 align:start position:0% and so what this corresponds to in later 01:10:47.500 --> 01:10:50.070 align:start position:0% and so what this corresponds to in later two<01:10:47.770> world<01:10:48.670> is<01:10:49.150> the<01:10:49.420> reason<01:10:49.750> that<01:10:49.780> I<01:10:49.930> know<01:10:49.990> I 01:10:50.070 --> 01:10:50.080 align:start position:0% two world is the reason that I know I 01:10:50.080 --> 01:10:51.120 align:start position:0% two world is the reason that I know I have<01:10:50.290> some<01:10:50.470> money<01:10:50.590> is<01:10:50.800> because<01:10:50.950> I<01:10:51.070> know 01:10:51.120 --> 01:10:51.130 align:start position:0% have some money is because I know 01:10:51.130 --> 01:10:53.520 align:start position:0% have some money is because I know whatever<01:10:51.670> however<01:10:52.270> some<01:10:52.750> tries<01:10:53.020> to<01:10:53.140> dispute 01:10:53.520 --> 01:10:53.530 align:start position:0% whatever however some tries to dispute 01:10:53.530 --> 01:10:56.370 align:start position:0% whatever however some tries to dispute me<01:10:53.650> whatever<01:10:54.190> they<01:10:54.610> do<01:10:54.840> I'm<01:10:55.840> going<01:10:56.110> to<01:10:56.170> be<01:10:56.290> able 01:10:56.370 --> 01:10:56.380 align:start position:0% me whatever they do I'm going to be able 01:10:56.380 --> 01:10:58.650 align:start position:0% me whatever they do I'm going to be able to<01:10:56.590> win<01:10:56.800> that<01:10:57.100> outcome<01:10:57.460> okay<01:10:57.700> and<01:10:58.150> like<01:10:58.270> this 01:10:58.650 --> 01:10:58.660 align:start position:0% to win that outcome okay and like this 01:10:58.660 --> 01:11:00.660 align:start position:0% to win that outcome okay and like this is<01:10:58.840> why<01:10:58.960> I<01:10:58.990> have<01:10:59.530> some<01:10:59.860> layer<01:11:00.040> two<01:11:00.340> states 01:11:00.660 --> 01:11:00.670 align:start position:0% is why I have some layer two states 01:11:00.670 --> 01:11:02.340 align:start position:0% is why I have some layer two states because<01:11:01.060> I<01:11:01.120> know<01:11:01.180> winning<01:11:01.540> strategy<01:11:02.020> that 01:11:02.340 --> 01:11:02.350 align:start position:0% because I know winning strategy that 01:11:02.350 --> 01:11:04.800 align:start position:0% because I know winning strategy that proves<01:11:02.680> that<01:11:03.070> that<01:11:03.220> state<01:11:03.430> was<01:11:03.580> internet<01:11:04.030> so 01:11:04.800 --> 01:11:04.810 align:start position:0% proves that that state was internet so 01:11:04.810 --> 01:11:06.810 align:start position:0% proves that that state was internet so we<01:11:05.170> can<01:11:05.320> sort<01:11:05.500> of<01:11:05.590> interpret<01:11:06.100> the<01:11:06.280> truth<01:11:06.580> of 01:11:06.810 --> 01:11:06.820 align:start position:0% we can sort of interpret the truth of 01:11:06.820 --> 01:11:08.970 align:start position:0% we can sort of interpret the truth of these<01:11:07.000> expressions<01:11:07.330> based<01:11:08.230> on<01:11:08.530> whether<01:11:08.830> or 01:11:08.970 --> 01:11:08.980 align:start position:0% these expressions based on whether or 01:11:08.980 --> 01:11:10.800 align:start position:0% these expressions based on whether or not<01:11:09.010> there's<01:11:09.370> a<01:11:09.430> winning<01:11:09.820> strategy<01:11:10.060> in<01:11:10.600> the 01:11:10.800 --> 01:11:10.810 align:start position:0% not there's a winning strategy in the 01:11:10.810 --> 01:11:13.320 align:start position:0% not there's a winning strategy in the tree<01:11:11.130> for<01:11:12.130> that<01:11:12.340> for<01:11:12.640> the<01:11:12.730> particular<01:11:13.120> image 01:11:13.320 --> 01:11:13.330 align:start position:0% tree for that for the particular image 01:11:13.330 --> 01:11:14.520 align:start position:0% tree for that for the particular image that<01:11:13.390> corresponds<01:11:14.020> the<01:11:14.140> particular 01:11:14.520 --> 01:11:14.530 align:start position:0% that corresponds the particular 01:11:14.530 --> 01:11:19.049 align:start position:0% that corresponds the particular expression<01:11:16.020> make<01:11:17.020> sense 01:11:19.049 --> 01:11:19.059 align:start position:0% expression make sense 01:11:19.059 --> 01:11:24.020 align:start position:0% expression make sense nice<01:11:19.690> other<01:11:20.050> questions<01:11:20.469> comments<01:11:20.800> attorney 01:11:24.020 --> 01:11:24.030 align:start position:0% 01:11:24.030 --> 01:11:27.319 align:start position:0% and<01:11:25.030> so<01:11:25.449> some<01:11:25.780> interesting<01:11:26.139> notes<01:11:26.289> on<01:11:26.710> this 01:11:27.319 --> 01:11:27.329 align:start position:0% and so some interesting notes on this 01:11:27.329 --> 01:11:29.370 align:start position:0% and so some interesting notes on this one<01:11:28.329> of<01:11:28.420> the<01:11:28.480> ways<01:11:28.570> that<01:11:28.630> you<01:11:28.869> can<01:11:28.900> understand 01:11:29.370 --> 01:11:29.380 align:start position:0% one of the ways that you can understand 01:11:29.380 --> 01:11:31.589 align:start position:0% one of the ways that you can understand odd<01:11:29.679> than<01:11:29.920> not<01:11:30.099> is<01:11:30.579> it<01:11:30.820> reverses<01:11:31.389> the<01:11:31.570> roles 01:11:31.589 --> 01:11:31.599 align:start position:0% odd than not is it reverses the roles 01:11:31.599 --> 01:11:34.410 align:start position:0% odd than not is it reverses the roles right<01:11:32.500> so<01:11:32.650> we<01:11:32.770> have<01:11:32.889> that<01:11:32.920> not<01:11:33.280> expression<01:11:34.210> P 01:11:34.410 --> 01:11:34.420 align:start position:0% right so we have that not expression P 01:11:34.420 --> 01:11:38.250 align:start position:0% right so we have that not expression P right<01:11:34.960> not<01:11:35.679> paid<01:11:36.010> because<01:11:36.340> that<01:11:36.610> not<01:11:37.260> reverses 01:11:38.250 --> 01:11:38.260 align:start position:0% right not paid because that not reverses 01:11:38.260 --> 01:11:41.010 align:start position:0% right not paid because that not reverses the<01:11:38.409> week<01:11:38.619> right<01:11:39.130> reverses<01:11:39.789> the<01:11:39.880> roles 01:11:41.010 --> 01:11:41.020 align:start position:0% the week right reverses the roles 01:11:41.020 --> 01:11:43.740 align:start position:0% the week right reverses the roles Marisa's<01:11:41.530> so<01:11:41.800> if<01:11:42.099> someone<01:11:43.030> trying<01:11:43.239> to<01:11:43.300> prove<01:11:43.449> P 01:11:43.740 --> 01:11:43.750 align:start position:0% Marisa's so if someone trying to prove P 01:11:43.750 --> 01:11:46.200 align:start position:0% Marisa's so if someone trying to prove P then<01:11:44.320> it's<01:11:44.469> like<01:11:44.590> the<01:11:44.710> opponent<01:11:45.219> is<01:11:45.610> trying<01:11:45.969> to 01:11:46.200 --> 01:11:46.210 align:start position:0% then it's like the opponent is trying to 01:11:46.210 --> 01:11:48.660 align:start position:0% then it's like the opponent is trying to prove<01:11:46.389> a<01:11:46.750> not<01:11:47.050> be<01:11:47.260> okay<01:11:47.739> so<01:11:47.800> this<01:11:48.039> reverses<01:11:48.579> the 01:11:48.660 --> 01:11:48.670 align:start position:0% prove a not be okay so this reverses the 01:11:48.670 --> 01:11:50.220 align:start position:0% prove a not be okay so this reverses the roles<01:11:48.699> so<01:11:49.270> there's<01:11:49.449> a<01:11:49.539> winning<01:11:49.809> strategy<01:11:49.989> for 01:11:50.220 --> 01:11:50.230 align:start position:0% roles so there's a winning strategy for 01:11:50.230 --> 01:11:52.350 align:start position:0% roles so there's a winning strategy for key<01:11:50.559> then<01:11:51.159> there's<01:11:51.309> not<01:11:51.489> one<01:11:51.760> a<01:11:51.789> strategy<01:11:52.210> for 01:11:52.350 --> 01:11:52.360 align:start position:0% key then there's not one a strategy for 01:11:52.360 --> 01:11:53.609 align:start position:0% key then there's not one a strategy for o<01:11:52.420> and<01:11:52.750> if<01:11:52.840> there's<01:11:52.989> a<01:11:53.050> winning<01:11:53.260> strategy<01:11:53.409> for 01:11:53.609 --> 01:11:53.619 align:start position:0% o and if there's a winning strategy for 01:11:53.619 --> 01:11:55.379 align:start position:0% o and if there's a winning strategy for oh<01:11:53.920> there's<01:11:54.309> not<01:11:54.429> a<01:11:54.489> winning<01:11:54.670> strategy<01:11:54.789> for<01:11:55.119> P 01:11:55.379 --> 01:11:55.389 align:start position:0% oh there's not a winning strategy for P 01:11:55.389 --> 01:11:57.180 align:start position:0% oh there's not a winning strategy for P so<01:11:55.630> thankfully<01:11:56.320> we've<01:11:56.469> retired<01:11:56.739> that<01:11:56.980> at 01:11:57.180 --> 01:11:57.190 align:start position:0% so thankfully we've retired that at 01:11:57.190 --> 01:11:58.950 align:start position:0% so thankfully we've retired that at least<01:11:57.309> so<01:11:57.820> what<01:11:57.940> this<01:11:58.030> means<01:11:58.090> is<01:11:58.329> that<01:11:58.389> if<01:11:58.570> P<01:11:58.780> is 01:11:58.950 --> 01:11:58.960 align:start position:0% least so what this means is that if P is 01:11:58.960 --> 01:12:00.359 align:start position:0% least so what this means is that if P is sort<01:11:59.170> of<01:11:59.199> true<01:11:59.500> because<01:11:59.949> of<01:11:59.980> his<01:12:00.159> winning 01:12:00.359 --> 01:12:00.369 align:start position:0% sort of true because of his winning 01:12:00.369 --> 01:12:03.299 align:start position:0% sort of true because of his winning strategy<01:12:00.880> then<01:12:01.570> oh<01:12:01.869> not<01:12:02.800> people<01:12:03.130> will<01:12:03.219> be 01:12:03.299 --> 01:12:03.309 align:start position:0% strategy then oh not people will be 01:12:03.309 --> 01:12:05.430 align:start position:0% strategy then oh not people will be false<01:12:03.610> because<01:12:04.119> now<01:12:04.420> the<01:12:04.480> other<01:12:04.780> guy<01:12:05.020> is<01:12:05.079> the 01:12:05.430 --> 01:12:05.440 align:start position:0% false because now the other guy is the 01:12:05.440 --> 01:12:06.689 align:start position:0% false because now the other guy is the opponent<01:12:05.800> so<01:12:05.829> there<01:12:06.010> you<01:12:06.159> have<01:12:06.190> the<01:12:06.400> winning 01:12:06.689 --> 01:12:06.699 align:start position:0% opponent so there you have the winning 01:12:06.699 --> 01:12:08.490 align:start position:0% opponent so there you have the winning strategy<01:12:06.969> is<01:12:07.599> now<01:12:07.780> the<01:12:07.840> one<01:12:08.050> who's<01:12:08.170> gonna<01:12:08.260> win 01:12:08.490 --> 01:12:08.500 align:start position:0% strategy is now the one who's gonna win 01:12:08.500 --> 01:12:10.229 align:start position:0% strategy is now the one who's gonna win but<01:12:08.829> he's<01:12:08.949> now<01:12:09.099> the<01:12:09.130> opponent<01:12:09.730> as<01:12:09.849> opposed<01:12:10.179> to 01:12:10.229 --> 01:12:10.239 align:start position:0% but he's now the opponent as opposed to 01:12:10.239 --> 01:12:12.689 align:start position:0% but he's now the opponent as opposed to the<01:12:10.360> proven<01:12:10.750> so<01:12:11.650> this<01:12:11.980> is<01:12:12.130> this<01:12:12.369> is<01:12:12.429> sort<01:12:12.670> of 01:12:12.689 --> 01:12:12.699 align:start position:0% the proven so this is this is sort of 01:12:12.699 --> 01:12:14.279 align:start position:0% the proven so this is this is sort of good<01:12:12.969> we've<01:12:13.179> recurred<01:12:13.510> some<01:12:13.869> intuitive 01:12:14.279 --> 01:12:14.289 align:start position:0% good we've recurred some intuitive 01:12:14.289 --> 01:12:16.319 align:start position:0% good we've recurred some intuitive properties<01:12:14.829> of<01:12:15.010> other<01:12:15.130> logics<01:12:16.059> and<01:12:16.210> other 01:12:16.319 --> 01:12:16.329 align:start position:0% properties of other logics and other 01:12:16.329 --> 01:12:18.839 align:start position:0% properties of other logics and other semantics<01:12:16.989> in<01:12:17.260> which<01:12:17.530> is<01:12:17.679> singin<01:12:18.309> a<01:12:18.429> is<01:12:18.610> true 01:12:18.839 --> 01:12:18.849 align:start position:0% semantics in which is singin a is true 01:12:18.849 --> 01:12:21.450 align:start position:0% semantics in which is singin a is true staining<01:12:19.630> the<01:12:20.289> statement<01:12:20.770> not<01:12:20.860> a<01:12:20.920> is<01:12:21.190> false 01:12:21.450 --> 01:12:21.460 align:start position:0% staining the statement not a is false 01:12:21.460 --> 01:12:22.770 align:start position:0% staining the statement not a is false right<01:12:21.820> so<01:12:22.000> we<01:12:22.059> released<01:12:22.360> with<01:12:22.570> at<01:12:22.690> least 01:12:22.770 --> 01:12:22.780 align:start position:0% right so we released with at least 01:12:22.780 --> 01:12:25.979 align:start position:0% right so we released with at least recover<01:12:23.139> time<01:12:24.809> okay 01:12:25.979 --> 01:12:25.989 align:start position:0% recover time okay 01:12:25.989 --> 01:12:27.540 align:start position:0% recover time okay I<01:12:26.020> wanna<01:12:26.289> pause<01:12:26.469> for<01:12:26.650> questions<01:12:26.739> I<01:12:27.130> don't<01:12:27.280> have 01:12:27.540 --> 01:12:27.550 align:start position:0% I wanna pause for questions I don't have 01:12:27.550 --> 01:12:34.290 align:start position:0% I wanna pause for questions I don't have this<01:12:30.389> I'll<01:12:31.389> do<01:12:31.599> it<01:12:31.690> once<01:12:31.840> again<01:12:31.960> okay<01:12:33.300> great 01:12:34.290 --> 01:12:34.300 align:start position:0% this I'll do it once again okay great 01:12:34.300 --> 01:12:37.470 align:start position:0% this I'll do it once again okay great but<01:12:35.079> learn<01:12:35.320> about<01:12:35.500> photography<01:12:36.090> okay<01:12:37.090> so<01:12:37.150> this 01:12:37.470 --> 01:12:37.480 align:start position:0% but learn about photography okay so this 01:12:37.480 --> 01:12:38.879 align:start position:0% but learn about photography okay so this is<01:12:37.659> saying<01:12:37.809> that<01:12:37.869> we've<01:12:38.050> totally<01:12:38.409> ignored<01:12:38.679> up 01:12:38.879 --> 01:12:38.889 align:start position:0% is saying that we've totally ignored up 01:12:38.889 --> 01:12:40.760 align:start position:0% is saying that we've totally ignored up to<01:12:39.010> now<01:12:39.130> and<01:12:39.610> this<01:12:39.760> is<01:12:39.849> saying<01:12:40.000> it<01:12:40.119> does<01:12:40.360> add 01:12:40.760 --> 01:12:40.770 align:start position:0% to now and this is saying it does add 01:12:40.770 --> 01:12:43.200 align:start position:0% to now and this is saying it does add more<01:12:41.770> complexity<01:12:42.159> most<01:12:42.699> of<01:12:42.849> what<01:12:42.969> we've<01:12:43.090> gone 01:12:43.200 --> 01:12:43.210 align:start position:0% more complexity most of what we've gone 01:12:43.210 --> 01:12:45.419 align:start position:0% more complexity most of what we've gone over<01:12:43.270> here<01:12:43.630> very<01:12:43.840> very<01:12:44.380> similar<01:12:44.949> to<01:12:45.099> existing 01:12:45.419 --> 01:12:45.429 align:start position:0% over here very very similar to existing 01:12:45.429 --> 01:12:48.510 align:start position:0% over here very very similar to existing works<01:12:46.360> in<01:12:46.690> game<01:12:47.349> semantics<01:12:47.860> and<01:12:48.010> biological 01:12:48.510 --> 01:12:48.520 align:start position:0% works in game semantics and biological 01:12:48.520 --> 01:12:50.339 align:start position:0% works in game semantics and biological logic<01:12:48.789> and<01:12:48.940> these<01:12:49.090> things<01:12:49.270> the<01:12:49.840> complex 01:12:50.339 --> 01:12:50.349 align:start position:0% logic and these things the complex 01:12:50.349 --> 01:12:53.370 align:start position:0% logic and these things the complex nature<01:12:51.309> that<01:12:51.639> comes<01:12:51.820> about<01:12:52.059> is<01:12:52.630> in<01:12:52.960> layer<01:12:53.139> two 01:12:53.370 --> 01:12:53.380 align:start position:0% nature that comes about is in layer two 01:12:53.380 --> 01:12:57.060 align:start position:0% nature that comes about is in layer two protocols<01:12:54.630> these<01:12:55.630> the<01:12:56.230> truth<01:12:56.650> of<01:12:57.010> a 01:12:57.060 --> 01:12:57.070 align:start position:0% protocols these the truth of a 01:12:57.070 --> 01:13:00.140 align:start position:0% protocols these the truth of a particular<01:12:57.489> composition<01:12:58.170> changes<01:12:59.170> off<01:12:59.440> chain 01:13:00.140 --> 01:13:00.150 align:start position:0% particular composition changes off chain 01:13:00.150 --> 01:13:02.669 align:start position:0% particular composition changes off chain so<01:13:01.150> for<01:13:01.300> example<01:13:01.719> there's<01:13:02.320> a<01:13:02.409> game 01:13:02.669 --> 01:13:02.679 align:start position:0% so for example there's a game 01:13:02.679 --> 01:13:05.100 align:start position:0% so for example there's a game corresponding<01:13:03.400> to<01:13:03.550> a<01:13:03.760> channel<01:13:04.300> and<01:13:04.630> state 01:13:05.100 --> 01:13:05.110 align:start position:0% corresponding to a channel and state 01:13:05.110 --> 01:13:06.720 align:start position:0% corresponding to a channel and state channel<01:13:05.590> thinks<01:13:05.800> it's<01:13:05.980> right<01:13:06.219> but<01:13:06.400> basically 01:13:06.720 --> 01:13:06.730 align:start position:0% channel thinks it's right but basically 01:13:06.730 --> 01:13:08.580 align:start position:0% channel thinks it's right but basically the<01:13:06.880> claim<01:13:07.059> that<01:13:07.090> says<01:13:07.420> uses<01:13:08.079> this<01:13:08.170> multiple 01:13:08.580 --> 01:13:08.590 align:start position:0% the claim that says uses this multiple 01:13:08.590 --> 01:13:10.110 align:start position:0% the claim that says uses this multiple evolved<01:13:08.860> multi<01:13:09.219> signaling<01:13:09.550> system 01:13:10.110 --> 01:13:10.120 align:start position:0% evolved multi signaling system 01:13:10.120 --> 01:13:11.970 align:start position:0% evolved multi signaling system before<01:13:10.480> that<01:13:10.570> says<01:13:10.750> I<01:13:10.990> claim<01:13:11.620> that<01:13:11.650> this<01:13:11.920> is 01:13:11.970 --> 01:13:11.980 align:start position:0% before that says I claim that this is 01:13:11.980 --> 01:13:14.220 align:start position:0% before that says I claim that this is the<01:13:12.160> valid<01:13:12.430> state<01:13:12.670> because<01:13:13.210> I<01:13:13.300> claim<01:13:13.570> for<01:13:14.110> of 01:13:14.220 --> 01:13:14.230 align:start position:0% the valid state because I claim for of 01:13:14.230 --> 01:13:16.290 align:start position:0% the valid state because I claim for of all<01:13:14.380> states<01:13:14.890> higher<01:13:15.430> than<01:13:15.700> this<01:13:15.820> for<01:13:16.030> all<01:13:16.180> the 01:13:16.290 --> 01:13:16.300 align:start position:0% all states higher than this for all the 01:13:16.300 --> 01:13:18.450 align:start position:0% all states higher than this for all the knots<01:13:16.510> is<01:13:16.720> higher<01:13:16.960> there<01:13:17.500> does<01:13:17.680> not<01:13:17.830> exist<01:13:18.040> a 01:13:18.450 --> 01:13:18.460 align:start position:0% knots is higher there does not exist a 01:13:18.460 --> 01:13:21.510 align:start position:0% knots is higher there does not exist a multi-sig<01:13:19.030> signed<01:13:19.330> by<01:13:19.510> everyone<01:13:19.840> and<01:13:20.440> so<01:13:21.220> that 01:13:21.510 --> 01:13:21.520 align:start position:0% multi-sig signed by everyone and so that 01:13:21.520 --> 01:13:23.370 align:start position:0% multi-sig signed by everyone and so that is<01:13:21.610> what<01:13:21.760> state<01:13:21.970> channel<01:13:22.240> is<01:13:22.390> so<01:13:23.080> let's<01:13:23.230> say 01:13:23.370 --> 01:13:23.380 align:start position:0% is what state channel is so let's say 01:13:23.380 --> 01:13:25.350 align:start position:0% is what state channel is so let's say that<01:13:23.590> that's<01:13:23.800> the<01:13:24.040> end<01:13:24.280> that's<01:13:24.550> true<01:13:24.850> at<01:13:25.090> time 01:13:25.350 --> 01:13:25.360 align:start position:0% that that's the end that's true at time 01:13:25.360 --> 01:13:28.230 align:start position:0% that that's the end that's true at time and<01:13:25.540> X<01:13:25.720> maybe<01:13:26.380> at<01:13:26.560> time<01:13:26.740> X<01:13:26.890> plus<01:13:27.130> 1<01:13:27.340> we<01:13:27.700> sign<01:13:28.000> the 01:13:28.230 --> 01:13:28.240 align:start position:0% and X maybe at time X plus 1 we sign the 01:13:28.240 --> 01:13:30.510 align:start position:0% and X maybe at time X plus 1 we sign the next<01:13:28.480> knots<01:13:28.690> well<01:13:29.350> now<01:13:29.530> this<01:13:30.070> thing<01:13:30.310> that<01:13:30.430> is 01:13:30.510 --> 01:13:30.520 align:start position:0% next knots well now this thing that is 01:13:30.520 --> 01:13:32.280 align:start position:0% next knots well now this thing that is false<01:13:30.760> because<01:13:31.090> this<01:13:31.390> one<01:13:31.600> is<01:13:31.810> true<01:13:32.020> here 01:13:32.280 --> 01:13:32.290 align:start position:0% false because this one is true here 01:13:32.290 --> 01:13:34.950 align:start position:0% false because this one is true here right<01:13:33.040> and<01:13:33.190> so<01:13:33.340> there's<01:13:33.520> some<01:13:33.670> notion<01:13:33.850> in<01:13:34.360> in 01:13:34.950 --> 01:13:34.960 align:start position:0% right and so there's some notion in in 01:13:34.960 --> 01:13:37.470 align:start position:0% right and so there's some notion in in the<01:13:35.080> layer<01:13:35.260> tool<01:13:35.530> that<01:13:36.160> is<01:13:36.250> subjective<01:13:37.120> truth 01:13:37.470 --> 01:13:37.480 align:start position:0% the layer tool that is subjective truth 01:13:37.480 --> 01:13:39.660 align:start position:0% the layer tool that is subjective truth it's<01:13:38.020> not<01:13:38.140> that<01:13:38.500> it's<01:13:38.920> not<01:13:39.070> like<01:13:39.250> true<01:13:39.580> or 01:13:39.660 --> 01:13:39.670 align:start position:0% it's not that it's not like true or 01:13:39.670 --> 01:13:41.310 align:start position:0% it's not that it's not like true or false<01:13:39.880> which<01:13:40.120> is<01:13:40.270> obviously<01:13:40.720> true<01:13:41.020> right 01:13:41.310 --> 01:13:41.320 align:start position:0% false which is obviously true right 01:13:41.320 --> 01:13:42.480 align:start position:0% false which is obviously true right click<01:13:41.530> this<01:13:41.650> is<01:13:41.800> the<01:13:41.890> expression<01:13:42.190> true<01:13:42.400> or 01:13:42.480 --> 01:13:42.490 align:start position:0% click this is the expression true or 01:13:42.490 --> 01:13:44.430 align:start position:0% click this is the expression true or false<01:13:42.640> duh<01:13:42.970> that's<01:13:43.330> true<01:13:43.630> like<01:13:43.900> oh<01:13:44.050> no<01:13:44.380> duh 01:13:44.430 --> 01:13:44.440 align:start position:0% false duh that's true like oh no duh 01:13:44.440 --> 01:13:45.450 align:start position:0% false duh that's true like oh no duh true<01:13:45.010> or<01:13:45.160> false 01:13:45.450 --> 01:13:45.460 align:start position:0% true or false 01:13:45.460 --> 01:13:47.910 align:start position:0% true or false right<01:13:45.760> but<01:13:46.390> the<01:13:46.510> expression<01:13:46.920> signature 01:13:47.910 --> 01:13:47.920 align:start position:0% right but the expression signature 01:13:47.920 --> 01:13:50.340 align:start position:0% right but the expression signature exists<01:13:48.430> or<01:13:48.580> hash<01:13:49.000> tree<01:13:49.180> which<01:13:49.420> exists<01:13:49.870> that's 01:13:50.340 --> 01:13:50.350 align:start position:0% exists or hash tree which exists that's 01:13:50.350 --> 01:13:52.680 align:start position:0% exists or hash tree which exists that's dependent<01:13:51.010> on<01:13:51.340> what<01:13:51.730> the<01:13:51.820> players<01:13:52.060> know<01:13:52.360> and 01:13:52.680 --> 01:13:52.690 align:start position:0% dependent on what the players know and 01:13:52.690 --> 01:13:53.850 align:start position:0% dependent on what the players know and what<01:13:52.840> they're<01:13:52.990> allowed<01:13:53.140> to<01:13:53.350> play<01:13:53.500> exactly 01:13:53.850 --> 01:13:53.860 align:start position:0% what they're allowed to play exactly 01:13:53.860 --> 01:13:55.860 align:start position:0% what they're allowed to play exactly this<01:13:54.040> this<01:13:54.550> is<01:13:54.700> the<01:13:54.790> point<01:13:55.030> that<01:13:55.240> it's<01:13:55.390> not<01:13:55.480> the 01:13:55.860 --> 01:13:55.870 align:start position:0% this this is the point that it's not the 01:13:55.870 --> 01:13:59.100 align:start position:0% this this is the point that it's not the facts<01:13:56.590> it's<01:13:57.400> not<01:13:57.670> that<01:13:57.910> what<01:13:58.120> exists 01:13:59.100 --> 01:13:59.110 align:start position:0% facts it's not that what exists 01:13:59.110 --> 01:14:01.350 align:start position:0% facts it's not that what exists abstractly<01:13:59.650> changes<01:14:00.160> the<01:14:00.700> players<01:14:00.940> knowledge 01:14:01.350 --> 01:14:01.360 align:start position:0% abstractly changes the players knowledge 01:14:01.360 --> 01:14:03.270 align:start position:0% abstractly changes the players knowledge -<01:14:01.570> right<01:14:02.350> exactly<01:14:03.040> right 01:14:03.270 --> 01:14:03.280 align:start position:0% - right exactly right 01:14:03.280 --> 01:14:05.720 align:start position:0% - right exactly right so<01:14:03.580> players<01:14:03.970> knowledge<01:14:04.570> about<01:14:04.930> particular 01:14:05.720 --> 01:14:05.730 align:start position:0% so players knowledge about particular 01:14:05.730 --> 01:14:08.970 align:start position:0% so players knowledge about particular data<01:14:06.730> changes<01:14:07.570> over<01:14:07.780> time<01:14:07.960> and<01:14:08.200> this<01:14:08.530> changes 01:14:08.970 --> 01:14:08.980 align:start position:0% data changes over time and this changes 01:14:08.980 --> 01:14:10.830 align:start position:0% data changes over time and this changes the<01:14:09.040> computability<01:14:09.670> of<01:14:10.180> what's<01:14:10.450> going<01:14:10.720> on 01:14:10.830 --> 01:14:10.840 align:start position:0% the computability of what's going on 01:14:10.840 --> 01:14:12.720 align:start position:0% the computability of what's going on right<01:14:11.140> so<01:14:11.650> we<01:14:11.770> have<01:14:11.890> a<01:14:11.920> yellow<01:14:12.280> we<01:14:12.580> have<01:14:12.610> a 01:14:12.720 --> 01:14:12.730 align:start position:0% right so we have a yellow we have a 01:14:12.730 --> 01:14:14.670 align:start position:0% right so we have a yellow we have a bottle<01:14:13.030> for<01:14:13.180> this<01:14:13.300> right<01:14:13.600> that<01:14:14.320> this<01:14:14.440> problem 01:14:14.670 --> 01:14:14.680 align:start position:0% bottle for this right that this problem 01:14:14.680 --> 01:14:16.290 align:start position:0% bottle for this right that this problem is<01:14:14.800> called<01:14:14.890> logical<01:14:15.310> or<01:14:15.400> missions<01:14:15.730> right<01:14:15.940> and 01:14:16.290 --> 01:14:16.300 align:start position:0% is called logical or missions right and 01:14:16.300 --> 01:14:18.870 align:start position:0% is called logical or missions right and so<01:14:16.450> we<01:14:16.540> have<01:14:16.660> a<01:14:16.690> problem<01:14:17.080> for<01:14:17.200> this<01:14:17.430> and<01:14:18.430> this 01:14:18.870 --> 01:14:18.880 align:start position:0% so we have a problem for this and this 01:14:18.880 --> 01:14:20.160 align:start position:0% so we have a problem for this and this is<01:14:19.030> that<01:14:19.060> we<01:14:19.300> have<01:14:19.390> a<01:14:19.420> solution<01:14:19.720> for<01:14:19.930> this 01:14:20.160 --> 01:14:20.170 align:start position:0% is that we have a solution for this 01:14:20.170 --> 01:14:21.510 align:start position:0% is that we have a solution for this whether<01:14:20.410> there's<01:14:20.800> a<01:14:20.890> problem<01:14:21.280> beyond 01:14:21.510 --> 01:14:21.520 align:start position:0% whether there's a problem beyond 01:14:21.520 --> 01:14:24.690 align:start position:0% whether there's a problem beyond solution<01:14:22.000> there<01:14:22.210> we<01:14:22.270> go<01:14:22.390> ok<01:14:23.110> so<01:14:23.350> I<01:14:23.980> don't<01:14:24.430> think 01:14:24.690 --> 01:14:24.700 align:start position:0% solution there we go ok so I don't think 01:14:24.700 --> 01:14:26.430 align:start position:0% solution there we go ok so I don't think we'll<01:14:24.880> play<01:14:25.180> to<01:14:25.240> you<01:14:25.450> that<01:14:25.600> it<01:14:25.690> is<01:14:25.750> nearly<01:14:26.230> as 01:14:26.430 --> 01:14:26.440 align:start position:0% we'll play to you that it is nearly as 01:14:26.440 --> 01:14:27.870 align:start position:0% we'll play to you that it is nearly as advanced<01:14:26.770> as<01:14:26.920> the<01:14:27.070> rest<01:14:27.220> of<01:14:27.310> the<01:14:27.400> massive 01:14:27.870 --> 01:14:27.880 align:start position:0% advanced as the rest of the massive 01:14:27.880 --> 01:14:29.160 align:start position:0% advanced as the rest of the massive amounts<01:14:28.150> of<01:14:28.210> work<01:14:28.420> that<01:14:28.600> have<01:14:28.690> gone<01:14:28.780> into<01:14:28.960> the 01:14:29.160 --> 01:14:29.170 align:start position:0% amounts of work that have gone into the 01:14:29.170 --> 01:14:30.570 align:start position:0% amounts of work that have gone into the systemization<01:14:29.590> of<01:14:29.950> knowledge<01:14:30.340> and 01:14:30.570 --> 01:14:30.580 align:start position:0% systemization of knowledge and 01:14:30.580 --> 01:14:31.650 align:start position:0% systemization of knowledge and cryptographic<01:14:30.880> knowledge<01:14:31.510> and 01:14:31.650 --> 01:14:31.660 align:start position:0% cryptographic knowledge and 01:14:31.660 --> 01:14:33.720 align:start position:0% cryptographic knowledge and computability<01:14:32.080> it's<01:14:32.590> not<01:14:32.830> but<01:14:33.340> it's<01:14:33.460> enough 01:14:33.720 --> 01:14:33.730 align:start position:0% computability it's not but it's enough 01:14:33.730 --> 01:14:36.240 align:start position:0% computability it's not but it's enough to<01:14:33.970> be<01:14:34.780> improved<01:14:35.080> constant<01:14:35.590> to<01:14:35.710> demonstrate 01:14:36.240 --> 01:14:36.250 align:start position:0% to be improved constant to demonstrate 01:14:36.250 --> 01:14:39.590 align:start position:0% to be improved constant to demonstrate that<01:14:36.640> we<01:14:36.700> can<01:14:36.970> express<01:14:37.240> layer<01:14:38.200> 2<01:14:38.470> systems<01:14:38.860> has 01:14:39.590 --> 01:14:39.600 align:start position:0% that we can express layer 2 systems has 01:14:39.600 --> 01:14:42.120 align:start position:0% that we can express layer 2 systems has you<01:14:40.600> know<01:14:40.720> has<01:14:40.840> logical<01:14:41.260> expressions<01:14:41.680> and<01:14:41.860> so 01:14:42.120 --> 01:14:42.130 align:start position:0% you know has logical expressions and so 01:14:42.130 --> 01:14:44.370 align:start position:0% you know has logical expressions and so unify<01:14:42.520> them<01:14:42.700> all<01:14:42.880> under<01:14:43.060> one<01:14:43.180> framer<01:14:43.450> ok<01:14:43.930> so 01:14:44.370 --> 01:14:44.380 align:start position:0% unify them all under one framer ok so 01:14:44.380 --> 01:14:45.660 align:start position:0% unify them all under one framer ok so the<01:14:44.470> way<01:14:44.500> we<01:14:44.710> think<01:14:44.860> about<01:14:44.980> it<01:14:45.220> is<01:14:45.310> we<01:14:45.430> define 01:14:45.660 --> 01:14:45.670 align:start position:0% the way we think about it is we define 01:14:45.670 --> 01:14:47.880 align:start position:0% the way we think about it is we define subset<01:14:46.060> W<01:14:46.090> and<01:14:46.690> this<01:14:46.780> is<01:14:46.870> like<01:14:47.020> a<01:14:47.200> set<01:14:47.680> of<01:14:47.800> the 01:14:47.880 --> 01:14:47.890 align:start position:0% subset W and this is like a set of the 01:14:47.890 --> 01:14:50.880 align:start position:0% subset W and this is like a set of the worlds<01:14:48.030> okay<01:14:49.030> so<01:14:49.510> one<01:14:49.780> world<01:14:50.110> it<01:14:50.470> was<01:14:50.620> that 01:14:50.880 --> 01:14:50.890 align:start position:0% worlds okay so one world it was that 01:14:50.890 --> 01:14:52.920 align:start position:0% worlds okay so one world it was that might<01:14:51.130> say<01:14:51.340> Alice<01:14:51.970> has<01:14:52.150> a<01:14:52.180> private<01:14:52.570> key<01:14:52.690> King 01:14:52.920 --> 01:14:52.930 align:start position:0% might say Alice has a private key King 01:14:52.930 --> 01:14:56.070 align:start position:0% might say Alice has a private key King but<01:14:53.530> she's<01:14:53.680> not<01:14:53.800> signed<01:14:54.070> anything<01:14:54.630> ok<01:14:55.660> another 01:14:56.070 --> 01:14:56.080 align:start position:0% but she's not signed anything ok another 01:14:56.080 --> 01:14:57.690 align:start position:0% but she's not signed anything ok another world<01:14:56.320> like<01:14:56.500> saying<01:14:56.740> Alice's<01:14:57.370> s<01:14:57.490> is<01:14:57.610> the 01:14:57.690 --> 01:14:57.700 align:start position:0% world like saying Alice's s is the 01:14:57.700 --> 01:14:59.910 align:start position:0% world like saying Alice's s is the Viking<01:14:58.090> king<01:14:58.300> and<01:14:58.720> she's<01:14:59.080> signed<01:14:59.350> message<01:14:59.740> m 01:14:59.910 --> 01:14:59.920 align:start position:0% Viking king and she's signed message m 01:14:59.920 --> 01:15:01.470 align:start position:0% Viking king and she's signed message m and<01:14:59.950> sent<01:15:00.340> it<01:15:00.460> off<01:15:00.550> to<01:15:00.610> the<01:15:00.760> opponent<01:15:01.210> so<01:15:01.300> the 01:15:01.470 --> 01:15:01.480 align:start position:0% and sent it off to the opponent so the 01:15:01.480 --> 01:15:02.669 align:start position:0% and sent it off to the opponent so the opponent<01:15:01.660> knows 01:15:02.669 --> 01:15:02.679 align:start position:0% opponent knows 01:15:02.679 --> 01:15:05.169 align:start position:0% opponent knows how's<01:15:03.679> the<01:15:03.889> signature<01:15:04.249> but<01:15:04.669> only<01:15:04.849> on<01:15:05.059> the 01:15:05.169 --> 01:15:05.179 align:start position:0% how's the signature but only on the 01:15:05.179 --> 01:15:08.319 align:start position:0% how's the signature but only on the message<01:15:05.449> n<01:15:05.630> right<01:15:06.260> and<01:15:06.709> so<01:15:07.070> as<01:15:07.459> we<01:15:07.909> progressed 01:15:08.319 --> 01:15:08.329 align:start position:0% message n right and so as we progressed 01:15:08.329 --> 01:15:11.080 align:start position:0% message n right and so as we progressed through<01:15:08.419> these<01:15:08.630> world<01:15:09.070> that<01:15:10.070> progression<01:15:10.519> so 01:15:11.080 --> 01:15:11.090 align:start position:0% through these world that progression so 01:15:11.090 --> 01:15:12.520 align:start position:0% through these world that progression so Alice<01:15:11.479> when<01:15:11.599> it<01:15:11.719> started<01:15:11.989> out<01:15:12.110> not<01:15:12.260> haven't 01:15:12.520 --> 01:15:12.530 align:start position:0% Alice when it started out not haven't 01:15:12.530 --> 01:15:13.029 align:start position:0% Alice when it started out not haven't seen<01:15:12.649> anything 01:15:13.029 --> 01:15:13.039 align:start position:0% seen anything 01:15:13.039 --> 01:15:15.069 align:start position:0% seen anything and<01:15:13.369> then<01:15:13.519> at<01:15:13.639> world<01:15:14.209> zero<01:15:14.449> and<01:15:14.749> then<01:15:14.840> a<01:15:14.899> world 01:15:15.069 --> 01:15:15.079 align:start position:0% and then at world zero and then a world 01:15:15.079 --> 01:15:18.040 align:start position:0% and then at world zero and then a world one<01:15:15.349> she<01:15:15.889> decided<01:15:16.219> message<01:15:16.699> M<01:15:16.880> this<01:15:17.479> is<01:15:17.749> what 01:15:18.040 --> 01:15:18.050 align:start position:0% one she decided message M this is what 01:15:18.050 --> 01:15:19.989 align:start position:0% one she decided message M this is what will<01:15:18.349> allow<01:15:18.590> us<01:15:18.979> to<01:15:19.280> change<01:15:19.729> this<01:15:19.939> thing 01:15:19.989 --> 01:15:19.999 align:start position:0% will allow us to change this thing 01:15:19.999 --> 01:15:22.419 align:start position:0% will allow us to change this thing between<01:15:20.419> true<01:15:20.539> and<01:15:20.570> false<01:15:20.749> because<01:15:21.439> in<01:15:22.219> this 01:15:22.419 --> 01:15:22.429 align:start position:0% between true and false because in this 01:15:22.429 --> 01:15:25.689 align:start position:0% between true and false because in this world<01:15:23.349> it's<01:15:24.349> not<01:15:24.619> true<01:15:24.860> for<01:15:25.010> anything<01:15:25.309> that 01:15:25.689 --> 01:15:25.699 align:start position:0% world it's not true for anything that 01:15:25.699 --> 01:15:27.459 align:start position:0% world it's not true for anything that there<01:15:25.820> exists<01:15:26.119> a<01:15:26.179> signature<01:15:26.510> of<01:15:26.630> my<01:15:26.719> house<01:15:26.929> in 01:15:27.459 --> 01:15:27.469 align:start position:0% there exists a signature of my house in 01:15:27.469 --> 01:15:30.399 align:start position:0% there exists a signature of my house in this<01:15:27.800> world<01:15:28.159> it's<01:15:28.459> true<01:15:28.729> for<01:15:29.209> a<01:15:29.239> message<01:15:29.780> that 01:15:30.399 --> 01:15:30.409 align:start position:0% this world it's true for a message that 01:15:30.409 --> 01:15:31.959 align:start position:0% this world it's true for a message that there<01:15:30.530> is<01:15:30.679> a<01:15:30.709> signature<01:15:31.159> of<01:15:31.249> my<01:15:31.399> house 01:15:31.959 --> 01:15:31.969 align:start position:0% there is a signature of my house 01:15:31.969 --> 01:15:34.479 align:start position:0% there is a signature of my house and<01:15:32.689> so<01:15:32.809> this<01:15:32.929> progression<01:15:33.409> through<01:15:34.070> worlds 01:15:34.479 --> 01:15:34.489 align:start position:0% and so this progression through worlds 01:15:34.489 --> 01:15:36.790 align:start position:0% and so this progression through worlds is<01:15:34.849> what<01:15:35.149> you<01:15:35.269> actually<01:15:35.449> do<01:15:35.780> when<01:15:36.260> you<01:15:36.380> execute 01:15:36.790 --> 01:15:36.800 align:start position:0% is what you actually do when you execute 01:15:36.800 --> 01:15:38.620 align:start position:0% is what you actually do when you execute a<01:15:36.979> layer<01:15:37.130> 2<01:15:37.309> protocol<01:15:37.699> and<01:15:37.939> you<01:15:37.969> and<01:15:38.269> you<01:15:38.360> send 01:15:38.620 --> 01:15:38.630 align:start position:0% a layer 2 protocol and you and you send 01:15:38.630 --> 01:15:41.649 align:start position:0% a layer 2 protocol and you and you send them<01:15:38.689> ie<01:15:38.809> roundoff<01:15:39.139> chain<01:15:39.409> into<01:15:39.889> it'll<01:15:40.659> make 01:15:41.649 --> 01:15:41.659 align:start position:0% them ie roundoff chain into it'll make 01:15:41.659 --> 01:15:45.549 align:start position:0% them ie roundoff chain into it'll make sense<01:15:42.340> so<01:15:43.340> we<01:15:43.699> can<01:15:44.510> find<01:15:44.780> this<01:15:44.929> a<01:15:44.989> little<01:15:45.380> more 01:15:45.549 --> 01:15:45.559 align:start position:0% sense so we can find this a little more 01:15:45.559 --> 01:15:47.560 align:start position:0% sense so we can find this a little more precisely<01:15:45.860> by<01:15:46.550> saying<01:15:46.969> there's<01:15:47.449> a 01:15:47.560 --> 01:15:47.570 align:start position:0% precisely by saying there's a 01:15:47.570 --> 01:15:50.949 align:start position:0% precisely by saying there's a computability<01:15:48.139> of<01:15:48.619> computable<01:15:49.189> subset<01:15:49.729> ok<01:15:50.419> so 01:15:50.949 --> 01:15:50.959 align:start position:0% computability of computable subset ok so 01:15:50.959 --> 01:15:53.830 align:start position:0% computability of computable subset ok so we<01:15:51.169> call<01:15:51.320> these<01:15:51.439> X<01:15:51.709> hop<01:15:51.949> ok<01:15:52.610> and<01:15:53.329> this<01:15:53.539> is<01:15:53.689> like 01:15:53.830 --> 01:15:53.840 align:start position:0% we call these X hop ok and this is like 01:15:53.840 --> 01:15:55.089 align:start position:0% we call these X hop ok and this is like the<01:15:53.959> segmentation<01:15:54.380> but<01:15:54.679> when<01:15:54.889> you<01:15:54.949> really 01:15:55.089 --> 01:15:55.099 align:start position:0% the segmentation but when you really 01:15:55.099 --> 01:15:56.919 align:start position:0% the segmentation but when you really care<01:15:55.309> about<01:15:55.340> as<01:15:55.550> a<01:15:55.579> function<01:15:56.059> it<01:15:56.539> takes<01:15:56.719> in<01:15:56.840> the 01:15:56.919 --> 01:15:56.929 align:start position:0% care about as a function it takes in the 01:15:56.929 --> 01:15:59.979 align:start position:0% care about as a function it takes in the current<01:15:57.260> world<01:15:57.499> and<01:15:57.979> the<01:15:58.669> which<01:15:59.419> player<01:15:59.719> it<01:15:59.899> is 01:15:59.979 --> 01:15:59.989 align:start position:0% current world and the which player it is 01:15:59.989 --> 01:16:01.359 align:start position:0% current world and the which player it is either<01:16:00.349> either<01:16:00.590> the<01:16:00.800> approver<01:16:01.159> of<01:16:01.189> the 01:16:01.359 --> 01:16:01.369 align:start position:0% either either the approver of the 01:16:01.369 --> 01:16:03.819 align:start position:0% either either the approver of the opponent<01:16:01.699> and<01:16:02.360> return<01:16:02.749> some<01:16:02.929> subset<01:16:03.559> of<01:16:03.590> the 01:16:03.819 --> 01:16:03.829 align:start position:0% opponent and return some subset of the 01:16:03.829 --> 01:16:05.859 align:start position:0% opponent and return some subset of the total<01:16:04.010> state<01:16:04.399> which<01:16:04.880> they<01:16:05.059> contribute<01:16:05.630> which 01:16:05.859 --> 01:16:05.869 align:start position:0% total state which they contribute which 01:16:05.869 --> 01:16:08.139 align:start position:0% total state which they contribute which they<01:16:06.050> are<01:16:06.139> therefore<01:16:06.320> the<01:16:06.530> loud<01:16:06.769> to<01:16:07.280> play<01:16:07.550> ok 01:16:08.139 --> 01:16:08.149 align:start position:0% they are therefore the loud to play ok 01:16:08.149 --> 01:16:10.449 align:start position:0% they are therefore the loud to play ok so<01:16:08.719> for<01:16:08.869> example<01:16:08.959> you<01:16:09.709> know<01:16:09.769> in<01:16:09.979> a<01:16:10.070> world<01:16:10.249> where 01:16:10.449 --> 01:16:10.459 align:start position:0% so for example you know in a world where 01:16:10.459 --> 01:16:11.739 align:start position:0% so for example you know in a world where Thomas<01:16:10.760> has<01:16:10.880> not<01:16:11.059> seen<01:16:11.329> anything 01:16:11.739 --> 01:16:11.749 align:start position:0% Thomas has not seen anything 01:16:11.749 --> 01:16:13.719 align:start position:0% Thomas has not seen anything but<01:16:12.260> cannot<01:16:12.739> play<01:16:13.010> your<01:16:13.189> signature<01:16:13.550> as<01:16:13.699> a 01:16:13.719 --> 01:16:13.729 align:start position:0% but cannot play your signature as a 01:16:13.729 --> 01:16:16.479 align:start position:0% but cannot play your signature as a challenge<01:16:14.149> so<01:16:14.630> if<01:16:14.719> the<01:16:14.840> world<01:16:15.050> W<01:16:15.439> here<01:16:15.949> says 01:16:16.479 --> 01:16:16.489 align:start position:0% challenge so if the world W here says 01:16:16.489 --> 01:16:18.040 align:start position:0% challenge so if the world W here says Alice<01:16:16.939> has<01:16:17.059> not<01:16:17.239> signed<01:16:17.510> anything 01:16:18.040 --> 01:16:18.050 align:start position:0% Alice has not signed anything 01:16:18.050 --> 01:16:21.129 align:start position:0% Alice has not signed anything then<01:16:18.829> executable<01:16:19.760> is<01:16:20.059> a<01:16:20.119> subset<01:16:20.599> of<01:16:20.630> X<01:16:20.780> which 01:16:21.129 --> 01:16:21.139 align:start position:0% then executable is a subset of X which 01:16:21.139 --> 01:16:23.439 align:start position:0% then executable is a subset of X which does<01:16:21.380> not<01:16:21.649> include<01:16:22.099> Alice's<01:16:22.760> signature<01:16:23.179> and 01:16:23.439 --> 01:16:23.449 align:start position:0% does not include Alice's signature and 01:16:23.449 --> 01:16:25.629 align:start position:0% does not include Alice's signature and therefore<01:16:23.989> you<01:16:24.439> know<01:16:24.530> exists<01:16:25.130> such<01:16:25.399> that 01:16:25.629 --> 01:16:25.639 align:start position:0% therefore you know exists such that 01:16:25.639 --> 01:16:28.209 align:start position:0% therefore you know exists such that signed<01:16:26.329> by<01:16:26.539> house<01:16:26.749> will<01:16:27.229> end<01:16:27.499> up<01:16:27.679> being<01:16:27.919> false 01:16:28.209 --> 01:16:28.219 align:start position:0% signed by house will end up being false 01:16:28.219 --> 01:16:33.310 align:start position:0% signed by house will end up being false and<01:16:28.599> of<01:16:29.599> being<01:16:29.780> false<01:16:31.059> okay<01:16:32.059> so<01:16:32.389> tactus<01:16:32.929> how<01:16:33.260> do 01:16:33.310 --> 01:16:33.320 align:start position:0% and of being false okay so tactus how do 01:16:33.320 --> 01:16:35.020 align:start position:0% and of being false okay so tactus how do we<01:16:33.469> how<01:16:33.739> did<01:16:34.280> this<01:16:34.459> has<01:16:34.610> to<01:16:34.699> affect<01:16:34.849> the<01:16:34.999> game 01:16:35.020 --> 01:16:35.030 align:start position:0% we how did this has to affect the game 01:16:35.030 --> 01:16:36.969 align:start position:0% we how did this has to affect the game somehow<01:16:35.570> so<01:16:36.139> the<01:16:36.260> way<01:16:36.380> that<01:16:36.409> we<01:16:36.590> can<01:16:36.709> affect 01:16:36.969 --> 01:16:36.979 align:start position:0% somehow so the way that we can affect 01:16:36.979 --> 01:16:39.100 align:start position:0% somehow so the way that we can affect the<01:16:37.130> semantics<01:16:37.729> is<01:16:37.999> we<01:16:38.209> change<01:16:38.510> the<01:16:38.659> final 01:16:39.100 --> 01:16:39.110 align:start position:0% the semantics is we change the final 01:16:39.110 --> 01:16:40.359 align:start position:0% the semantics is we change the final challenge<01:16:39.499> rule<01:16:39.679> right<01:16:39.919> so<01:16:40.039> we<01:16:40.130> have<01:16:40.249> this 01:16:40.359 --> 01:16:40.369 align:start position:0% challenge rule right so we have this 01:16:40.369 --> 01:16:42.279 align:start position:0% challenge rule right so we have this five<01:16:40.579> challengers<01:16:41.090> rules<01:16:41.449> before<01:16:41.599> the 01:16:42.279 --> 01:16:42.289 align:start position:0% five challengers rules before the 01:16:42.289 --> 01:16:44.139 align:start position:0% five challengers rules before the university<01:16:42.769> lot<01:16:42.889> fire<01:16:43.099> for<01:16:43.399> all<01:16:43.429> it's<01:16:43.939> not 01:16:44.139 --> 01:16:44.149 align:start position:0% university lot fire for all it's not 01:16:44.149 --> 01:16:47.830 align:start position:0% university lot fire for all it's not changed<01:16:44.570> it<01:16:44.780> so<01:16:45.260> instead<01:16:45.590> of<01:16:45.800> T<01:16:46.309> and<01:16:46.579> X<01:16:46.760> we<01:16:47.689> can 01:16:47.830 --> 01:16:47.840 align:start position:0% changed it so instead of T and X we can 01:16:47.840 --> 01:16:50.080 align:start position:0% changed it so instead of T and X we can only<01:16:48.079> pick<01:16:48.320> tag<01:16:48.619> team<01:16:48.949> in<01:16:49.369> the<01:16:49.610> computable 01:16:50.080 --> 01:16:50.090 align:start position:0% only pick tag team in the computable 01:16:50.090 --> 01:16:53.169 align:start position:0% only pick tag team in the computable subset<01:16:50.539> of<01:16:50.570> X<01:16:50.809> in<01:16:51.409> the<01:16:51.590> current<01:16:51.949> world<01:16:52.189> by<01:16:53.119> the 01:16:53.169 --> 01:16:53.179 align:start position:0% subset of X in the current world by the 01:16:53.179 --> 01:16:54.130 align:start position:0% subset of X in the current world by the current<01:16:53.749> player 01:16:54.130 --> 01:16:54.140 align:start position:0% current player 01:16:54.140 --> 01:16:55.600 align:start position:0% current player is<01:16:54.260> going<01:16:54.410> to<01:16:54.500> be<01:16:54.620> providing<01:16:55.070> the<01:16:55.100> challenge 01:16:55.600 --> 01:16:55.610 align:start position:0% is going to be providing the challenge 01:16:55.610 --> 01:16:57.940 align:start position:0% is going to be providing the challenge so<01:16:56.420> this<01:16:56.540> is<01:16:56.660> a<01:16:56.720> got<01:16:56.930> a<01:16:56.960> subset<01:16:57.530> of<01:16:57.560> the<01:16:57.740> trees 01:16:57.940 --> 01:16:57.950 align:start position:0% so this is a got a subset of the trees 01:16:57.950 --> 01:17:00.640 align:start position:0% so this is a got a subset of the trees so<01:16:57.980> whereas<01:16:58.760> before<01:16:58.790> all<01:16:59.750> the<01:17:00.140> possible 01:17:00.640 --> 01:17:00.650 align:start position:0% so whereas before all the possible 01:17:00.650 --> 01:17:02.260 align:start position:0% so whereas before all the possible things<01:17:00.830> were<01:17:01.070> known<01:17:01.310> by<01:17:01.580> the<01:17:01.640> logic<01:17:02.090> and 01:17:02.260 --> 01:17:02.270 align:start position:0% things were known by the logic and 01:17:02.270 --> 01:17:03.880 align:start position:0% things were known by the logic and therefore<01:17:02.540> all<01:17:02.660> the<01:17:02.690> possible<01:17:03.110> things<01:17:03.170> could 01:17:03.880 --> 01:17:03.890 align:start position:0% therefore all the possible things could 01:17:03.890 --> 01:17:06.100 align:start position:0% therefore all the possible things could be<01:17:04.160> played<01:17:04.430> in<01:17:04.730> history<01:17:04.880> radical<01:17:05.360> notion<01:17:05.660> now 01:17:06.100 --> 01:17:06.110 align:start position:0% be played in history radical notion now 01:17:06.110 --> 01:17:08.650 align:start position:0% be played in history radical notion now we<01:17:06.170> might<01:17:06.590> say<01:17:06.860> we're<01:17:07.130> in<01:17:07.190> a<01:17:07.250> particular<01:17:07.730> w0 01:17:08.650 --> 01:17:08.660 align:start position:0% we might say we're in a particular w0 01:17:08.660 --> 01:17:10.960 align:start position:0% we might say we're in a particular w0 due<01:17:09.140> to<01:17:09.200> this<01:17:09.350> set<01:17:09.560> of<01:17:09.590> worlds<01:17:10.100> and<01:17:10.280> in<01:17:10.790> this 01:17:10.960 --> 01:17:10.970 align:start position:0% due to this set of worlds and in this 01:17:10.970 --> 01:17:13.870 align:start position:0% due to this set of worlds and in this world<01:17:11.680> you<01:17:12.680> know<01:17:12.830> you<01:17:13.160> know<01:17:13.250> maybe<01:17:13.400> this<01:17:13.640> was 01:17:13.870 --> 01:17:13.880 align:start position:0% world you know you know maybe this was 01:17:13.880 --> 01:17:16.360 align:start position:0% world you know you know maybe this was false<01:17:14.120> right<01:17:14.720> but<01:17:15.050> in<01:17:15.140> this<01:17:15.290> world<01:17:15.530> it<01:17:16.070> turns 01:17:16.360 --> 01:17:16.370 align:start position:0% false right but in this world it turns 01:17:16.370 --> 01:17:19.090 align:start position:0% false right but in this world it turns out<01:17:16.550> that<01:17:16.670> oh<01:17:16.880> can<01:17:17.150> i<01:17:17.240> play<01:17:17.650> cannot<01:17:18.650> play<01:17:18.860> this 01:17:19.090 --> 01:17:19.100 align:start position:0% out that oh can i play cannot play this 01:17:19.100 --> 01:17:21.640 align:start position:0% out that oh can i play cannot play this branch<01:17:19.430> so<01:17:20.000> we're<01:17:20.240> good<01:17:20.450> right<01:17:20.780> so<01:17:21.290> we<01:17:21.440> still 01:17:21.640 --> 01:17:21.650 align:start position:0% branch so we're good right so we still 01:17:21.650 --> 01:17:23.380 align:start position:0% branch so we're good right so we still have<01:17:21.770> a<01:17:21.800> winning<01:17:22.010> strategy<01:17:22.280> because<01:17:23.150> in<01:17:23.270> this 01:17:23.380 --> 01:17:23.390 align:start position:0% have a winning strategy because in this 01:17:23.390 --> 01:17:25.420 align:start position:0% have a winning strategy because in this world<01:17:23.630> this<01:17:24.230> cannot<01:17:24.590> be<01:17:24.770> commutative<01:17:25.190> it's 01:17:25.420 --> 01:17:25.430 align:start position:0% world this cannot be commutative it's 01:17:25.430 --> 01:17:27.100 align:start position:0% world this cannot be commutative it's impossible<01:17:25.970> to<01:17:26.060> go<01:17:26.150> to<01:17:26.210> play<01:17:26.450> it<01:17:26.510> because<01:17:26.960> it's 01:17:27.100 --> 01:17:27.110 align:start position:0% impossible to go to play it because it's 01:17:27.110 --> 01:17:28.660 align:start position:0% impossible to go to play it because it's computers<01:17:27.470> only<01:17:27.740> finite<01:17:28.190> and<01:17:28.370> though<01:17:28.460> that 01:17:28.660 --> 01:17:28.670 align:start position:0% computers only finite and though that 01:17:28.670 --> 01:17:29.890 align:start position:0% computers only finite and though that only<01:17:28.790> knows<01:17:29.030> the<01:17:29.450> things<01:17:29.660> that<01:17:29.780> it's 01:17:29.890 --> 01:17:29.900 align:start position:0% only knows the things that it's 01:17:29.900 --> 01:17:32.560 align:start position:0% only knows the things that it's downloaded<01:17:30.320> off<01:17:30.410> and<01:17:31.070> because<01:17:31.790> Palace<01:17:32.300> is<01:17:32.420> not 01:17:32.560 --> 01:17:32.570 align:start position:0% downloaded off and because Palace is not 01:17:32.570 --> 01:17:33.940 align:start position:0% downloaded off and because Palace is not signed<01:17:32.810> any<01:17:33.020> that<01:17:33.230> has<01:17:33.350> not<01:17:33.500> signed<01:17:33.740> the<01:17:33.860> thing 01:17:33.940 --> 01:17:33.950 align:start position:0% signed any that has not signed the thing 01:17:33.950 --> 01:17:36.190 align:start position:0% signed any that has not signed the thing and<01:17:34.370> there<01:17:34.850> were<01:17:35.030> economic<01:17:35.420> endowment<01:17:36.140> from 01:17:36.190 --> 01:17:36.200 align:start position:0% and there were economic endowment from 01:17:36.200 --> 01:17:38.620 align:start position:0% and there were economic endowment from the<01:17:36.350> internet<01:17:36.650> or<01:17:36.800> cubed<01:17:37.400> then<01:17:38.060> this<01:17:38.270> this 01:17:38.620 --> 01:17:38.630 align:start position:0% the internet or cubed then this this 01:17:38.630 --> 01:17:41.230 align:start position:0% the internet or cubed then this this thing<01:17:39.050> is<01:17:39.080> inaccessible<01:17:39.620> so<01:17:40.550> we<01:17:40.700> restrict 01:17:41.230 --> 01:17:41.240 align:start position:0% thing is inaccessible so we restrict 01:17:41.240 --> 01:17:43.270 align:start position:0% thing is inaccessible so we restrict these<01:17:41.600> observes<01:17:42.020> theoretical<01:17:42.740> game<01:17:42.920> treaties 01:17:43.270 --> 01:17:43.280 align:start position:0% these observes theoretical game treaties 01:17:43.280 --> 01:17:45.610 align:start position:0% these observes theoretical game treaties which<01:17:43.880> would<01:17:44.510> -<01:17:44.690> only<01:17:44.960> once<01:17:45.320> which<01:17:45.530> are 01:17:45.610 --> 01:17:45.620 align:start position:0% which would - only once which are 01:17:45.620 --> 01:17:48.730 align:start position:0% which would - only once which are computable<01:17:46.400> moves<01:17:47.300> right<01:17:47.780> only<01:17:48.050> the<01:17:48.260> only<01:17:48.590> way 01:17:48.730 --> 01:17:48.740 align:start position:0% computable moves right only the only way 01:17:48.740 --> 01:17:50.230 align:start position:0% computable moves right only the only way to<01:17:48.800> play<01:17:49.040> something<01:17:49.460> is<01:17:49.550> if<01:17:49.670> your<01:17:49.850> computer 01:17:50.230 --> 01:17:50.240 align:start position:0% to play something is if your computer 01:17:50.240 --> 01:17:51.760 align:start position:0% to play something is if your computer can<01:17:50.630> get<01:17:50.840> in<01:17:50.960> there<01:17:51.140> and<01:17:51.290> punch<01:17:51.560> the<01:17:51.680> numbers 01:17:51.760 --> 01:17:51.770 align:start position:0% can get in there and punch the numbers 01:17:51.770 --> 01:17:57.340 align:start position:0% can get in there and punch the numbers and<01:17:52.130> plate<01:17:53.770> and<01:17:54.770> now<01:17:55.310> note<01:17:55.670> of<01:17:55.880> course<01:17:56.090> that<01:17:56.350> in 01:17:57.340 --> 01:17:57.350 align:start position:0% and plate and now note of course that in 01:17:57.350 --> 01:17:59.230 align:start position:0% and plate and now note of course that in each<01:17:57.590> will<01:17:57.830> W<01:17:58.310> there's<01:17:58.610> a<01:17:58.670> different<01:17:59.060> game 01:17:59.230 --> 01:17:59.240 align:start position:0% each will W there's a different game 01:17:59.240 --> 01:18:01.930 align:start position:0% each will W there's a different game tree<01:17:59.480> right<01:17:59.690> so<01:17:59.840> maybe<01:18:00.020> hit<01:18:00.290> W<01:18:00.620> 0<01:18:00.920> at<01:18:01.610> maybe<01:18:01.880> of 01:18:01.930 --> 01:18:01.940 align:start position:0% tree right so maybe hit W 0 at maybe of 01:18:01.940 --> 01:18:04.630 align:start position:0% tree right so maybe hit W 0 at maybe of W<01:18:02.210> 0<01:18:02.450> this<01:18:02.900> was<01:18:03.050> our<01:18:03.200> final<01:18:03.530> but<01:18:03.830> maybe<01:18:03.980> of<01:18:04.160> W<01:18:04.460> 1 01:18:04.630 --> 01:18:04.640 align:start position:0% W 0 this was our final but maybe of W 1 01:18:04.640 --> 01:18:07.330 align:start position:0% W 0 this was our final but maybe of W 1 now<01:18:05.570> this<01:18:05.960> is<01:18:06.110> playable<01:18:06.440> again<01:18:06.770> right<01:18:07.070> make 01:18:07.330 --> 01:18:07.340 align:start position:0% now this is playable again right make 01:18:07.340 --> 01:18:10.300 align:start position:0% now this is playable again right make you<01:18:07.490> know<01:18:07.610> a<01:18:07.900> reason<01:18:08.900> X<01:18:09.050> there<01:18:09.230> we<01:18:09.350> go<01:18:09.440> ok<01:18:09.740> so 01:18:10.300 --> 01:18:10.310 align:start position:0% you know a reason X there we go ok so 01:18:10.310 --> 01:18:12.010 align:start position:0% you know a reason X there we go ok so maybe<01:18:10.580> and<01:18:10.820> maybe<01:18:10.910> in<01:18:11.090> this<01:18:11.210> world<01:18:11.450> it<01:18:11.810> is 01:18:12.010 --> 01:18:12.020 align:start position:0% maybe and maybe in this world it is 01:18:12.020 --> 01:18:14.350 align:start position:0% maybe and maybe in this world it is playable<01:18:12.380> again<01:18:12.710> right<01:18:13.130> so<01:18:13.400> it<01:18:13.910> is<01:18:13.940> playable 01:18:14.350 --> 01:18:14.360 align:start position:0% playable again right so it is playable 01:18:14.360 --> 01:18:16.210 align:start position:0% playable again right so it is playable again<01:18:14.630> well<01:18:14.960> now<01:18:15.170> this<01:18:15.410> thing<01:18:15.620> becomes<01:18:15.830> false 01:18:16.210 --> 01:18:16.220 align:start position:0% again well now this thing becomes false 01:18:16.220 --> 01:18:17.890 align:start position:0% again well now this thing becomes false because<01:18:16.610> the<01:18:16.760> strategy<01:18:17.000> doesn't<01:18:17.600> check<01:18:17.720> out 01:18:17.890 --> 01:18:17.900 align:start position:0% because the strategy doesn't check out 01:18:17.900 --> 01:18:20.110 align:start position:0% because the strategy doesn't check out right<01:18:18.380> the<01:18:18.560> strategy<01:18:18.980> doesn't<01:18:19.190> work<01:18:19.340> because 01:18:20.110 --> 01:18:20.120 align:start position:0% right the strategy doesn't work because 01:18:20.120 --> 01:18:22.830 align:start position:0% right the strategy doesn't work because this<01:18:20.540> is<01:18:20.720> laws<01:18:21.020> ok<01:18:21.830> and<01:18:22.190> so<01:18:22.520> what<01:18:22.550> this<01:18:22.730> means 01:18:22.830 --> 01:18:22.840 align:start position:0% this is laws ok and so what this means 01:18:22.840 --> 01:18:25.780 align:start position:0% this is laws ok and so what this means is<01:18:23.840> that<01:18:23.900> as<01:18:24.320> we<01:18:24.590> progress<01:18:24.770> through<01:18:25.010> worlds 01:18:25.780 --> 01:18:25.790 align:start position:0% is that as we progress through worlds 01:18:25.790 --> 01:18:28.030 align:start position:0% is that as we progress through worlds these<01:18:26.360> propositions<01:18:26.720> can<01:18:27.200> go<01:18:27.410> from<01:18:27.830> being 01:18:28.030 --> 01:18:28.040 align:start position:0% these propositions can go from being 01:18:28.040 --> 01:18:29.770 align:start position:0% these propositions can go from being true<01:18:28.310> to<01:18:28.670> the<01:18:28.790> impulsive<01:18:29.060> it's<01:18:29.480> no<01:18:29.630> longer 01:18:29.770 --> 01:18:29.780 align:start position:0% true to the impulsive it's no longer 01:18:29.780 --> 01:18:31.870 align:start position:0% true to the impulsive it's no longer meaningful<01:18:30.350> to<01:18:30.740> interpret<01:18:31.250> the<01:18:31.400> truth<01:18:31.700> of<01:18:31.820> a 01:18:31.870 --> 01:18:31.880 align:start position:0% meaningful to interpret the truth of a 01:18:31.880 --> 01:18:34.090 align:start position:0% meaningful to interpret the truth of a statement<01:18:31.940> in<01:18:32.630> a<01:18:32.720> vacuum<01:18:33.050> you<01:18:33.740> have<01:18:33.950> to 01:18:34.090 --> 01:18:34.100 align:start position:0% statement in a vacuum you have to 01:18:34.100 --> 01:18:35.350 align:start position:0% statement in a vacuum you have to interpret<01:18:34.370> it<01:18:34.550> in<01:18:34.760> the<01:18:34.880> particular 01:18:35.350 --> 01:18:35.360 align:start position:0% interpret it in the particular 01:18:35.360 --> 01:18:37.570 align:start position:0% interpret it in the particular computability<01:18:36.290> world<01:18:36.770> or<01:18:37.100> whatever<01:18:37.250> you<01:18:37.430> want 01:18:37.570 --> 01:18:37.580 align:start position:0% computability world or whatever you want 01:18:37.580 --> 01:18:40.390 align:start position:0% computability world or whatever you want to<01:18:37.640> call<01:18:37.760> it<01:18:37.910> that<01:18:38.260> corresponds<01:18:39.260> to<01:18:39.500> the<01:18:40.190> state 01:18:40.390 --> 01:18:40.400 align:start position:0% to call it that corresponds to the state 01:18:40.400 --> 01:18:42.600 align:start position:0% to call it that corresponds to the state of<01:18:40.610> affairs<01:18:41.060> right<01:18:41.330> and<01:18:42.050> so<01:18:42.260> we 01:18:42.600 --> 01:18:42.610 align:start position:0% of affairs right and so we 01:18:42.610 --> 01:18:45.180 align:start position:0% of affairs right and so we say<01:18:42.790> that<01:18:43.000> now<01:18:43.180> there's<01:18:43.870> a<01:18:43.960> strategy<01:18:44.260> that<01:18:44.860> is 01:18:45.180 --> 01:18:45.190 align:start position:0% say that now there's a strategy that is 01:18:45.190 --> 01:18:47.910 align:start position:0% say that now there's a strategy that is winning<01:18:45.430> or<01:18:45.520> losing<01:18:46.020> even<01:18:47.020> world<01:18:47.320> done<01:18:47.530> and 01:18:47.910 --> 01:18:47.920 align:start position:0% winning or losing even world done and 01:18:47.920 --> 01:18:50.190 align:start position:0% winning or losing even world done and therefore<01:18:48.250> we<01:18:48.370> say<01:18:48.400> that<01:18:48.580> a<01:18:49.200> logical 01:18:50.190 --> 01:18:50.200 align:start position:0% therefore we say that a logical 01:18:50.200 --> 01:18:52.080 align:start position:0% therefore we say that a logical proposition<01:18:50.680> is<01:18:50.830> true<01:18:51.040> or<01:18:51.250> false<01:18:51.280> in<01:18:51.940> the 01:18:52.080 --> 01:18:52.090 align:start position:0% proposition is true or false in the 01:18:52.090 --> 01:18:53.970 align:start position:0% proposition is true or false in the world<01:18:52.300> w<01:18:52.750> it's<01:18:52.900> not<01:18:53.050> in<01:18:53.140> a<01:18:53.200> vacuum<01:18:53.350> it's<01:18:53.830> not 01:18:53.970 --> 01:18:53.980 align:start position:0% world w it's not in a vacuum it's not 01:18:53.980 --> 01:18:55.770 align:start position:0% world w it's not in a vacuum it's not the<01:18:54.100> true<01:18:54.280> or<01:18:54.430> false<01:18:54.550> on<01:18:54.730> its<01:18:54.850> own<01:18:54.970> it's<01:18:55.510> true 01:18:55.770 --> 01:18:55.780 align:start position:0% the true or false on its own it's true 01:18:55.780 --> 01:19:00.720 align:start position:0% the true or false on its own it's true or<01:18:55.840> false<01:18:56.020> in<01:18:56.380> the<01:18:56.470> world<01:18:56.680> w<01:18:57.480> XS<01:18:59.520> so<01:19:00.520> in 01:19:00.720 --> 01:19:00.730 align:start position:0% or false in the world w XS so in 01:19:00.730 --> 01:19:02.430 align:start position:0% or false in the world w XS so in practice<01:19:01.120> the<01:19:01.330> world<01:19:01.510> W<01:19:01.900> that<01:19:02.140> you're<01:19:02.290> going 01:19:02.430 --> 01:19:02.440 align:start position:0% practice the world W that you're going 01:19:02.440 --> 01:19:04.710 align:start position:0% practice the world W that you're going to<01:19:02.500> track<01:19:02.740> you<01:19:02.860> is<01:19:03.220> for<01:19:03.670> instance<01:19:03.880> what<01:19:04.480> am<01:19:04.630> i 01:19:04.710 --> 01:19:04.720 align:start position:0% to track you is for instance what am i 01:19:04.720 --> 01:19:05.340 align:start position:0% to track you is for instance what am i signing 01:19:05.340 --> 01:19:05.350 align:start position:0% signing 01:19:05.350 --> 01:19:08.730 align:start position:0% signing yes<01:19:05.890> so<01:19:06.250> in<01:19:06.550> this<01:19:06.820> example<01:19:07.390> what<01:19:08.200> the<01:19:08.350> party 01:19:08.730 --> 01:19:08.740 align:start position:0% yes so in this example what the party 01:19:08.740 --> 01:19:11.010 align:start position:0% yes so in this example what the party can't<01:19:09.010> compute<01:19:09.520> is<01:19:09.760> whether<01:19:10.210> they<01:19:10.540> would<01:19:10.780> win 01:19:11.010 --> 01:19:11.020 align:start position:0% can't compute is whether they would win 01:19:11.020 --> 01:19:12.510 align:start position:0% can't compute is whether they would win or<01:19:11.170> lose<01:19:11.350> if<01:19:11.620> they<01:19:11.770> went<01:19:11.920> down<01:19:12.130> that<01:19:12.340> right 01:19:12.510 --> 01:19:12.520 align:start position:0% or lose if they went down that right 01:19:12.520 --> 01:19:14.250 align:start position:0% or lose if they went down that right path<01:19:12.760> or<01:19:13.060> is<01:19:13.150> it<01:19:13.330> that<01:19:13.450> they<01:19:13.570> can't<01:19:13.840> compute 01:19:14.250 --> 01:19:14.260 align:start position:0% path or is it that they can't compute 01:19:14.260 --> 01:19:17.670 align:start position:0% path or is it that they can't compute they<01:19:15.070> can't<01:19:15.340> even<01:19:15.870> compute<01:19:16.870> what<01:19:17.080> the<01:19:17.200> choices 01:19:17.670 --> 01:19:17.680 align:start position:0% they can't even compute what the choices 01:19:17.680 --> 01:19:20.550 align:start position:0% they can't even compute what the choices they<01:19:18.160> know<01:19:18.580> so<01:19:18.880> what<01:19:19.060> it<01:19:19.150> is<01:19:19.300> is<01:19:19.600> they<01:19:20.110> can't 01:19:20.550 --> 01:19:20.560 align:start position:0% they know so what it is is they can't 01:19:20.560 --> 01:19:23.460 align:start position:0% they know so what it is is they can't compute<01:19:21.100> the<01:19:21.880> move<01:19:22.150> therefore<01:19:22.990> they<01:19:23.140> can't 01:19:23.460 --> 01:19:23.470 align:start position:0% compute the move therefore they can't 01:19:23.470 --> 01:19:26.340 align:start position:0% compute the move therefore they can't play<01:19:23.740> it<01:19:23.940> so<01:19:24.940> the<01:19:25.060> game<01:19:25.240> trees<01:19:25.660> so<01:19:26.080> they<01:19:26.200> don't 01:19:26.340 --> 01:19:26.350 align:start position:0% play it so the game trees so they don't 01:19:26.350 --> 01:19:30.600 align:start position:0% play it so the game trees so they don't even<01:19:26.410> know<01:19:26.650> what<01:19:26.830> there's<01:19:27.010> some<01:19:27.310> uses<01:19:29.610> they 01:19:30.600 --> 01:19:30.610 align:start position:0% even know what there's some uses they 01:19:30.610 --> 01:19:31.860 align:start position:0% even know what there's some uses they know<01:19:30.820> what<01:19:30.970> their<01:19:31.060> set<01:19:31.210> of<01:19:31.240> moves<01:19:31.480> is<01:19:31.630> is<01:19:31.750> one 01:19:31.860 --> 01:19:31.870 align:start position:0% know what their set of moves is is one 01:19:31.870 --> 01:19:33.570 align:start position:0% know what their set of moves is is one of<01:19:31.960> the<01:19:32.050> computer<01:19:32.380> can<01:19:32.530> come<01:19:32.650> up<01:19:32.770> with<01:19:32.800> right 01:19:33.570 --> 01:19:33.580 align:start position:0% of the computer can come up with right 01:19:33.580 --> 01:19:35.520 align:start position:0% of the computer can come up with right so<01:19:34.270> it's<01:19:34.420> so<01:19:34.540> it's<01:19:34.660> so<01:19:34.720> but<01:19:35.050> they'd<01:19:35.230> the<01:19:35.380> but 01:19:35.520 --> 01:19:35.530 align:start position:0% so it's so it's so but they'd the but 01:19:35.530 --> 01:19:38.220 align:start position:0% so it's so it's so but they'd the but all<01:19:36.190> right<01:19:36.400> so<01:19:36.880> so<01:19:37.270> for<01:19:37.750> example<01:19:38.110> more 01:19:38.220 --> 01:19:38.230 align:start position:0% all right so so for example more 01:19:38.230 --> 01:19:40.440 align:start position:0% all right so so for example more importantly<01:19:38.620> I<01:19:38.830> know<01:19:39.100> that<01:19:39.370> my<01:19:39.580> opponent<01:19:40.210> can 01:19:40.440 --> 01:19:40.450 align:start position:0% importantly I know that my opponent can 01:19:40.450 --> 01:19:42.690 align:start position:0% importantly I know that my opponent can never<01:19:40.660> come<01:19:40.900> up<01:19:41.020> with<01:19:41.230> my<01:19:41.650> signature<01:19:41.950> unless 01:19:42.690 --> 01:19:42.700 align:start position:0% never come up with my signature unless 01:19:42.700 --> 01:19:44.580 align:start position:0% never come up with my signature unless I've<01:19:42.910> given<01:19:43.240> to<01:19:43.330> them<01:19:43.510> and<01:19:43.780> that's<01:19:44.260> the<01:19:44.410> really 01:19:44.580 --> 01:19:44.590 align:start position:0% I've given to them and that's the really 01:19:44.590 --> 01:19:45.840 align:start position:0% I've given to them and that's the really important<01:19:44.950> one<01:19:45.040> and<01:19:45.160> so<01:19:45.280> that<01:19:45.430> allows<01:19:45.580> me<01:19:45.610> to 01:19:45.840 --> 01:19:45.850 align:start position:0% important one and so that allows me to 01:19:45.850 --> 01:19:48.180 align:start position:0% important one and so that allows me to restrict<01:19:46.240> the<01:19:46.360> subject<01:19:46.750> so<01:19:47.590> you<01:19:47.680> essentially 01:19:48.180 --> 01:19:48.190 align:start position:0% restrict the subject so you essentially 01:19:48.190 --> 01:19:49.950 align:start position:0% restrict the subject so you essentially you're<01:19:48.460> taking<01:19:49.030> the<01:19:49.120> original<01:19:49.330> train<01:19:49.750> you're 01:19:49.950 --> 01:19:49.960 align:start position:0% you're taking the original train you're 01:19:49.960 --> 01:19:51.810 align:start position:0% you're taking the original train you're just<01:19:50.170> pruning<01:19:50.560> out<01:19:50.650> that's<01:19:50.950> exactly<01:19:51.790> right 01:19:51.810 --> 01:19:51.820 align:start position:0% just pruning out that's exactly right 01:19:51.820 --> 01:19:53.850 align:start position:0% just pruning out that's exactly right you're<01:19:52.210> pruning<01:19:52.540> out<01:19:52.720> any<01:19:52.990> moves<01:19:53.260> which<01:19:53.740> are 01:19:53.850 --> 01:19:53.860 align:start position:0% you're pruning out any moves which are 01:19:53.860 --> 01:19:55.710 align:start position:0% you're pruning out any moves which are computationally<01:19:54.610> infeasible<01:19:54.850> to<01:19:55.390> have<01:19:55.600> been 01:19:55.710 --> 01:19:55.720 align:start position:0% computationally infeasible to have been 01:19:55.720 --> 01:19:57.330 align:start position:0% computationally infeasible to have been played<01:19:55.930> in<01:19:56.080> the<01:19:56.140> first<01:19:56.350> place<01:19:56.590> and<01:19:56.950> this<01:19:57.190> was 01:19:57.330 --> 01:19:57.340 align:start position:0% played in the first place and this was 01:19:57.340 --> 01:19:59.430 align:start position:0% played in the first place and this was what<01:19:57.910> removes<01:19:58.300> the<01:19:58.600> logical<01:19:58.990> omniscience 01:19:59.430 --> 01:19:59.440 align:start position:0% what removes the logical omniscience 01:19:59.440 --> 01:20:01.110 align:start position:0% what removes the logical omniscience problem<01:19:59.860> and<01:20:00.040> makes<01:20:00.460> the<01:20:00.610> extrude<01:20:00.880> hang 01:20:01.110 --> 01:20:01.120 align:start position:0% problem and makes the extrude hang 01:20:01.120 --> 01:20:03.810 align:start position:0% problem and makes the extrude hang subjectively<01:20:01.750> so<01:20:02.080> I<01:20:02.380> have<01:20:03.220> a<01:20:03.250> set<01:20:03.490> of<01:20:03.580> moods 01:20:03.810 --> 01:20:03.820 align:start position:0% subjectively so I have a set of moods 01:20:03.820 --> 01:20:07.800 align:start position:0% subjectively so I have a set of moods that<01:20:03.940> I<01:20:04.060> can<01:20:04.330> if<01:20:05.170> in<01:20:05.410> the<01:20:05.530> game<01:20:06.120> might<01:20:07.120> one<01:20:07.780> of 01:20:07.800 --> 01:20:07.810 align:start position:0% that I can if in the game might one of 01:20:07.810 --> 01:20:09.060 align:start position:0% that I can if in the game might one of the<01:20:07.930> moves<01:20:08.110> I<01:20:08.260> could<01:20:08.320> place<01:20:08.680> to<01:20:08.920> exhibit 01:20:09.060 --> 01:20:09.070 align:start position:0% the moves I could place to exhibit 01:20:09.070 --> 01:20:11.940 align:start position:0% the moves I could place to exhibit Alice's<01:20:09.820> signature<01:20:10.270> on<01:20:10.390> some<01:20:10.630> string<01:20:11.020> right 01:20:11.940 --> 01:20:11.950 align:start position:0% Alice's signature on some string right 01:20:11.950 --> 01:20:15.570 align:start position:0% Alice's signature on some string right there's<01:20:12.730> a<01:20:12.820> set<01:20:13.150> of<01:20:13.950> strings<01:20:14.950> of<01:20:15.160> a<01:20:15.250> certain 01:20:15.570 --> 01:20:15.580 align:start position:0% there's a set of strings of a certain 01:20:15.580 --> 01:20:17.550 align:start position:0% there's a set of strings of a certain length<01:20:15.820> that<01:20:16.090> I<01:20:16.120> know<01:20:16.240> I<01:20:16.420> can<01:20:16.750> play<01:20:16.930> it's<01:20:17.320> not 01:20:17.550 --> 01:20:17.560 align:start position:0% length that I know I can play it's not 01:20:17.560 --> 01:20:21.720 align:start position:0% length that I know I can play it's not that<01:20:17.770> I<01:20:17.860> it's<01:20:18.550> not<01:20:18.790> that<01:20:19.150> I<01:20:19.710> don't<01:20:20.710> know<01:20:21.700> that 01:20:21.720 --> 01:20:21.730 align:start position:0% that I it's not that I don't know that 01:20:21.730 --> 01:20:24.570 align:start position:0% that I it's not that I don't know that that<01:20:22.270> I<01:20:22.540> am<01:20:22.990> allowed<01:20:23.500> to<01:20:23.770> play<01:20:23.950> that<01:20:23.980> string<01:20:24.400> of 01:20:24.570 --> 01:20:24.580 align:start position:0% that I am allowed to play that string of 01:20:24.580 --> 01:20:26.400 align:start position:0% that I am allowed to play that string of bits<01:20:24.760> it's<01:20:25.390> just<01:20:25.600> that<01:20:25.750> I<01:20:25.780> don't<01:20:25.990> know<01:20:26.200> that's 01:20:26.400 --> 01:20:26.410 align:start position:0% bits it's just that I don't know that's 01:20:26.410 --> 01:20:28.380 align:start position:0% bits it's just that I don't know that's the<01:20:26.710> string<01:20:26.980> I<01:20:27.130> should<01:20:27.400> play<01:20:27.670> in<01:20:27.850> order<01:20:28.030> to<01:20:28.120> win 01:20:28.380 --> 01:20:28.390 align:start position:0% the string I should play in order to win 01:20:28.390 --> 01:20:30.660 align:start position:0% the string I should play in order to win that<01:20:28.990> I<01:20:29.080> don't<01:20:29.230> know<01:20:29.440> that<01:20:29.650> I<01:20:29.680> can't<01:20:30.460> figure 01:20:30.660 --> 01:20:30.670 align:start position:0% that I don't know that I can't figure 01:20:30.670 --> 01:20:34.760 align:start position:0% that I don't know that I can't figure out<01:20:31.440> the<01:20:32.550> enormous<01:20:33.550> number<01:20:34.060> of<01:20:34.090> moves<01:20:34.420> that 01:20:34.760 --> 01:20:34.770 align:start position:0% out the enormous number of moves that 01:20:34.770 --> 01:20:37.340 align:start position:0% out the enormous number of moves that available<01:20:35.250> to<01:20:35.460> me<01:20:35.610> which<01:20:36.150> of<01:20:36.180> them<01:20:36.570> is<01:20:36.870> winning 01:20:37.340 --> 01:20:37.350 align:start position:0% available to me which of them is winning 01:20:37.350 --> 01:20:41.180 align:start position:0% available to me which of them is winning okay<01:20:38.250> so<01:20:38.520> maybe<01:20:38.700> I'm<01:20:39.590> more<01:20:40.590> loosely<01:20:40.920> than<01:20:41.130> I 01:20:41.180 --> 01:20:41.190 align:start position:0% okay so maybe I'm more loosely than I 01:20:41.190 --> 01:20:43.310 align:start position:0% okay so maybe I'm more loosely than I should<01:20:41.340> have<01:20:41.430> thrown<01:20:41.670> around<01:20:41.790> allowed<01:20:42.630> so 01:20:43.310 --> 01:20:43.320 align:start position:0% should have thrown around allowed so 01:20:43.320 --> 01:20:44.690 align:start position:0% should have thrown around allowed so it's<01:20:43.440> not<01:20:43.530> really<01:20:43.740> allowed<01:20:44.040> it's<01:20:44.400> really 01:20:44.690 --> 01:20:44.700 align:start position:0% it's not really allowed it's really 01:20:44.700 --> 01:20:46.610 align:start position:0% it's not really allowed it's really capable<01:20:45.120> right<01:20:45.720> the<01:20:46.140> game<01:20:46.350> tree<01:20:46.560> is 01:20:46.610 --> 01:20:46.620 align:start position:0% capable right the game tree is 01:20:46.620 --> 01:20:48.500 align:start position:0% capable right the game tree is restricted<01:20:47.130> because<01:20:47.400> people<01:20:47.910> are<01:20:48.000> incapable 01:20:48.500 --> 01:20:48.510 align:start position:0% restricted because people are incapable 01:20:48.510 --> 01:20:50.480 align:start position:0% restricted because people are incapable of<01:20:48.870> playing<01:20:49.020> moves<01:20:49.350> that<01:20:49.740> are<01:20:49.860> not<01:20:49.980> computable 01:20:50.480 --> 01:20:50.490 align:start position:0% of playing moves that are not computable 01:20:50.490 --> 01:20:52.880 align:start position:0% of playing moves that are not computable by<01:20:50.730> their<01:20:50.940> computers<01:20:51.390> so<01:20:51.600> so<01:20:52.140> it<01:20:52.290> may<01:20:52.410> be<01:20:52.650> maybe 01:20:52.880 --> 01:20:52.890 align:start position:0% by their computers so so it may be maybe 01:20:52.890 --> 01:20:54.860 align:start position:0% by their computers so so it may be maybe that<01:20:53.160> maybe<01:20:53.850> that<01:20:53.940> refinement<01:20:54.390> of<01:20:54.570> learning 01:20:54.860 --> 01:20:54.870 align:start position:0% that maybe that refinement of learning 01:20:54.870 --> 01:20:56.090 align:start position:0% that maybe that refinement of learning would<01:20:54.990> help<01:20:55.230> would<01:20:55.500> help<01:20:55.680> there 01:20:56.090 --> 01:20:56.100 align:start position:0% would help would help there 01:20:56.100 --> 01:20:58.370 align:start position:0% would help would help there I<01:20:56.300> mean<01:20:57.300> looks<01:20:57.510> like<01:20:57.690> let's<01:20:57.900> take<01:20:58.020> this<01:20:58.140> long 01:20:58.370 --> 01:20:58.380 align:start position:0% I mean looks like let's take this long 01:20:58.380 --> 01:21:00.050 align:start position:0% I mean looks like let's take this long okay<01:20:58.560> I'll<01:20:58.650> take<01:20:58.860> offline<01:20:59.070> excellent<01:20:59.760> okay 01:21:00.050 --> 01:21:00.060 align:start position:0% okay I'll take offline excellent okay 01:21:00.060 --> 01:21:01.970 align:start position:0% okay I'll take offline excellent okay and<01:21:00.690> now<01:21:00.810> we<01:21:00.870> can<01:21:01.170> tell<01:21:01.320> by<01:21:01.440> the<01:21:01.500> way<01:21:01.620> okay<01:21:01.890> we 01:21:01.970 --> 01:21:01.980 align:start position:0% and now we can tell by the way okay we 01:21:01.980 --> 01:21:05.030 align:start position:0% and now we can tell by the way okay we all<01:21:02.100> that<01:21:02.220> tension<01:21:03.260> other<01:21:04.260> questions<01:21:04.710> other 01:21:05.030 --> 01:21:05.040 align:start position:0% all that tension other questions other 01:21:05.040 --> 01:21:08.600 align:start position:0% all that tension other questions other questions<01:21:05.460> can<01:21:06.860> when<01:21:07.860> you<01:21:07.950> look<01:21:08.130> at<01:21:08.250> me<01:21:08.460> look 01:21:08.600 --> 01:21:08.610 align:start position:0% questions can when you look at me look 01:21:08.610 --> 01:21:11.510 align:start position:0% questions can when you look at me look at<01:21:08.700> the<01:21:09.380> commercial<01:21:10.380> this<01:21:10.620> is<01:21:10.770> this<01:21:11.010> is<01:21:11.220> very 01:21:11.510 --> 01:21:11.520 align:start position:0% at the commercial this is this is very 01:21:11.520 --> 01:21:14.060 align:start position:0% at the commercial this is this is very reminiscent<01:21:12.390> if<01:21:12.750> you<01:21:12.840> want<01:21:13.050> to<01:21:13.200> see<01:21:13.710> what<01:21:13.980> is 01:21:14.060 --> 01:21:14.070 align:start position:0% reminiscent if you want to see what is 01:21:14.070 --> 01:21:18.500 align:start position:0% reminiscent if you want to see what is the<01:21:14.250> set<01:21:15.180> up<01:21:16.490> winning<01:21:17.490> strategies<01:21:18.180> based<01:21:18.360> on 01:21:18.500 --> 01:21:18.510 align:start position:0% the set up winning strategies based on 01:21:18.510 --> 01:21:20.480 align:start position:0% the set up winning strategies based on that<01:21:18.660> anyone<01:21:19.140> up<01:21:19.290> in<01:21:19.500> a<01:21:19.710> certain<01:21:20.070> tree<01:21:20.340> with 01:21:20.480 --> 01:21:20.490 align:start position:0% that anyone up in a certain tree with 01:21:20.490 --> 01:21:22.970 align:start position:0% that anyone up in a certain tree with this<01:21:20.630> basic<01:21:21.630> basically<01:21:22.230> what's<01:21:22.440> the<01:21:22.530> support 01:21:22.970 --> 01:21:22.980 align:start position:0% this basic basically what's the support 01:21:22.980 --> 01:21:24.890 align:start position:0% this basic basically what's the support right<01:21:23.190> so<01:21:23.370> you<01:21:23.490> could<01:21:23.700> you<01:21:24.030> could<01:21:24.300> be 01:21:24.890 --> 01:21:24.900 align:start position:0% right so you could you could be 01:21:24.900 --> 01:21:27.560 align:start position:0% right so you could you could be happening<01:21:25.470> rolls<01:21:25.680> over<01:21:25.860> these<01:21:26.130> right<01:21:27.000> two<01:21:27.240> to 01:21:27.560 --> 01:21:27.570 align:start position:0% happening rolls over these right two to 01:21:27.570 --> 01:21:28.529 align:start position:0% happening rolls over these right two to two 01:21:28.529 --> 01:21:28.539 align:start position:0% two 01:21:28.539 --> 01:21:31.560 align:start position:0% two -<01:21:29.170> to<01:21:29.800> see<01:21:30.070> you<01:21:30.340> know<01:21:30.460> because<01:21:30.820> of<01:21:31.000> the<01:21:31.179> path 01:21:31.560 --> 01:21:31.570 align:start position:0% - to see you know because of the path 01:21:31.570 --> 01:21:33.899 align:start position:0% - to see you know because of the path that<01:21:32.170> the<01:21:32.440> path<01:21:32.650> or<01:21:32.980> the<01:21:33.250> ones<01:21:33.429> that<01:21:33.610> are<01:21:33.699> that 01:21:33.899 --> 01:21:33.909 align:start position:0% that the path or the ones that are that 01:21:33.909 --> 01:21:36.060 align:start position:0% that the path or the ones that are that are<01:21:34.059> that<01:21:34.300> are<01:21:34.449> not<01:21:34.809> computable<01:21:35.349> will<01:21:35.920> give 01:21:36.060 --> 01:21:36.070 align:start position:0% are that are not computable will give 01:21:36.070 --> 01:21:38.040 align:start position:0% are that are not computable will give you<01:21:36.190> zero<01:21:36.429> right<01:21:37.090> right<01:21:37.420> because<01:21:37.719> there's<01:21:37.900> no 01:21:38.040 --> 01:21:38.050 align:start position:0% you zero right right because there's no 01:21:38.050 --> 01:21:40.439 align:start position:0% you zero right right because there's no support<01:21:38.230> right<01:21:39.039> but<01:21:39.460> if<01:21:39.579> you're<01:21:39.789> if<01:21:40.030> you're<01:21:40.239> if 01:21:40.439 --> 01:21:40.449 align:start position:0% support right but if you're if you're if 01:21:40.449 --> 01:21:43.279 align:start position:0% support right but if you're if you're if you're<01:21:40.480> integrating<01:21:41.170> the<01:21:41.440> path<01:21:41.619> of<01:21:41.889> the<01:21:42.039> world 01:21:43.279 --> 01:21:43.289 align:start position:0% you're integrating the path of the world 01:21:43.289 --> 01:21:47.250 align:start position:0% you're integrating the path of the world WWI<01:21:44.289> and<01:21:44.829> you're<01:21:45.039> dirty<01:21:45.940> you're<01:21:46.090> going<01:21:46.510> we<01:21:47.139> can 01:21:47.250 --> 01:21:47.260 align:start position:0% WWI and you're dirty you're going we can 01:21:47.260 --> 01:21:49.049 align:start position:0% WWI and you're dirty you're going we can express<01:21:47.590> it<01:21:47.860> to<01:21:47.980> paths<01:21:48.369> that<01:21:48.639> you<01:21:48.849> can 01:21:49.049 --> 01:21:49.059 align:start position:0% express it to paths that you can 01:21:49.059 --> 01:21:53.069 align:start position:0% express it to paths that you can actually<01:21:49.239> because<01:21:50.199> it's<01:21:50.380> you<01:21:51.159> can<01:21:51.960> treat<01:21:52.960> the 01:21:53.069 --> 01:21:53.079 align:start position:0% actually because it's you can treat the 01:21:53.079 --> 01:21:56.029 align:start position:0% actually because it's you can treat the power<01:21:53.559> series<01:21:53.800> you<01:21:54.250> can<01:21:54.429> then<01:21:54.550> Excel 01:21:56.029 --> 01:21:56.039 align:start position:0% power series you can then Excel 01:21:56.039 --> 01:21:59.669 align:start position:0% power series you can then Excel exponentiate<01:21:57.039> so<01:21:57.489> that<01:21:58.030> that's<01:21:58.300> so<01:21:58.809> now<01:21:59.260> now 01:21:59.669 --> 01:21:59.679 align:start position:0% exponentiate so that that's so now now 01:21:59.679 --> 01:22:01.709 align:start position:0% exponentiate so that that's so now now you<01:21:59.739> actually<01:22:00.280> now<01:22:00.849> you'll<01:22:01.150> actually<01:22:01.360> have<01:22:01.659> a 01:22:01.709 --> 01:22:01.719 align:start position:0% you actually now you'll actually have a 01:22:01.719 --> 01:22:04.290 align:start position:0% you actually now you'll actually have a have<01:22:02.139> a<01:22:02.170> have<01:22:02.590> a<01:22:02.980> have<01:22:03.190> a<01:22:03.489> corresponding<01:22:03.940> that 01:22:04.290 --> 01:22:04.300 align:start position:0% have a have a have a corresponding that 01:22:04.300 --> 01:22:07.549 align:start position:0% have a have a have a corresponding that you<01:22:04.420> can<01:22:04.570> you<01:22:04.690> can<01:22:05.280> compute<01:22:06.280> total<01:22:06.730> total 01:22:07.549 --> 01:22:07.559 align:start position:0% you can you can compute total total 01:22:07.559 --> 01:22:11.279 align:start position:0% you can you can compute total total total<01:22:08.559> total<01:22:08.980> values<01:22:09.280> of<01:22:10.079> census<01:22:11.079> right 01:22:11.279 --> 01:22:11.289 align:start position:0% total total values of census right 01:22:11.289 --> 01:22:13.680 align:start position:0% total total values of census right beautiful<01:22:12.039> positive<01:22:12.670> it<01:22:12.969> goes<01:22:13.000> I<01:22:13.329> don't<01:22:13.599> know 01:22:13.680 --> 01:22:13.690 align:start position:0% beautiful positive it goes I don't know 01:22:13.690 --> 01:22:15.359 align:start position:0% beautiful positive it goes I don't know they<01:22:13.809> apply<01:22:14.050> but<01:22:14.320> that<01:22:14.409> sounds<01:22:14.650> great<01:22:14.829> so<01:22:15.219> this 01:22:15.359 --> 01:22:15.369 align:start position:0% they apply but that sounds great so this 01:22:15.369 --> 01:22:17.970 align:start position:0% they apply but that sounds great so this is<01:22:15.570> talking<01:22:16.570> out<01:22:16.809> there<01:22:17.019> that<01:22:17.260> that's<01:22:17.500> exactly 01:22:17.970 --> 01:22:17.980 align:start position:0% is talking out there that that's exactly 01:22:17.980 --> 01:22:20.160 align:start position:0% is talking out there that that's exactly what<01:22:18.130> I'm<01:22:18.250> trying<01:22:18.429> to<01:22:18.639> do<01:22:18.760> here<01:22:18.789> is<01:22:19.150> and<01:22:19.719> make 01:22:20.160 --> 01:22:20.170 align:start position:0% what I'm trying to do here is and make 01:22:20.170 --> 01:22:21.720 align:start position:0% what I'm trying to do here is and make up<01:22:20.380> something<01:22:20.619> that<01:22:20.769> sounds<01:22:21.190> legit<01:22:21.340> enough 01:22:21.720 --> 01:22:21.730 align:start position:0% up something that sounds legit enough 01:22:21.730 --> 01:22:23.250 align:start position:0% up something that sounds legit enough that<01:22:21.909> you<01:22:22.030> believe<01:22:22.360> me<01:22:22.539> the<01:22:22.659> hell<01:22:22.809> to<01:22:22.989> it<01:22:23.110> will 01:22:23.250 --> 01:22:23.260 align:start position:0% that you believe me the hell to it will 01:22:23.260 --> 01:22:24.839 align:start position:0% that you believe me the hell to it will be<01:22:23.409> supported<01:22:23.679> by<01:22:23.829> it<01:22:23.949> but<01:22:24.369> that<01:22:24.519> you<01:22:24.699> can 01:22:24.839 --> 01:22:24.849 align:start position:0% be supported by it but that you can 01:22:24.849 --> 01:22:26.189 align:start position:0% be supported by it but that you can stick<01:22:25.090> on<01:22:25.239> your<01:22:25.420> actual<01:22:25.690> knowledge<01:22:25.929> of 01:22:26.189 --> 01:22:26.199 align:start position:0% stick on your actual knowledge of 01:22:26.199 --> 01:22:27.750 align:start position:0% stick on your actual knowledge of computability<01:22:26.679> and<01:22:26.920> cryptography<01:22:27.309> because 01:22:27.750 --> 01:22:27.760 align:start position:0% computability and cryptography because 01:22:27.760 --> 01:22:30.060 align:start position:0% computability and cryptography because mine<01:22:27.969> is<01:22:28.150> woefully<01:22:28.449> inadequate<01:22:29.050> to<01:22:29.739> deal<01:22:29.889> with 01:22:30.060 --> 01:22:30.070 align:start position:0% mine is woefully inadequate to deal with 01:22:30.070 --> 01:22:31.890 align:start position:0% mine is woefully inadequate to deal with these<01:22:30.190> sort<01:22:30.460> of<01:22:30.489> systemic<01:22:30.820> problem<01:22:31.420> actually 01:22:31.890 --> 01:22:31.900 align:start position:0% these sort of systemic problem actually 01:22:31.900 --> 01:22:36.540 align:start position:0% these sort of systemic problem actually it's<01:22:32.349> actually<01:22:32.619> more<01:22:33.360> okay<01:22:35.010> what<01:22:36.010> about<01:22:36.099> me<01:22:36.340> my 01:22:36.540 --> 01:22:36.550 align:start position:0% it's actually more okay what about me my 01:22:36.550 --> 01:22:38.879 align:start position:0% it's actually more okay what about me my not<01:22:36.699> sure<01:22:36.880> about<01:22:37.000> today<01:22:37.329> okay<01:22:37.780> absolutely<01:22:38.619> so 01:22:38.879 --> 01:22:38.889 align:start position:0% not sure about today okay absolutely so 01:22:38.889 --> 01:22:40.589 align:start position:0% not sure about today okay absolutely so let's<01:22:39.099> check<01:22:39.309> after<01:22:39.639> yeah<01:22:39.880> in<01:22:40.059> general<01:22:40.210> I'll 01:22:40.589 --> 01:22:40.599 align:start position:0% let's check after yeah in general I'll 01:22:40.599 --> 01:22:41.910 align:start position:0% let's check after yeah in general I'll be<01:22:40.719> around<01:22:40.960> after<01:22:41.260> everyone<01:22:41.650> who<01:22:41.710> wants<01:22:41.889> to 01:22:41.910 --> 01:22:41.920 align:start position:0% be around after everyone who wants to 01:22:41.920 --> 01:22:43.500 align:start position:0% be around after everyone who wants to come<01:22:41.980> let's<01:22:42.670> come<01:22:42.820> talk<01:22:43.000> about<01:22:43.030> this<01:22:43.269> stuff 01:22:43.500 --> 01:22:43.510 align:start position:0% come let's come talk about this stuff 01:22:43.510 --> 01:22:46.979 align:start position:0% come let's come talk about this stuff okay<01:22:44.579> it's<01:22:45.579> like<01:22:45.699> a<01:22:45.730> very<01:22:45.969> a<01:22:46.269> very<01:22:46.480> simple 01:22:46.979 --> 01:22:46.989 align:start position:0% okay it's like a very a very simple 01:22:46.989 --> 01:22:48.209 align:start position:0% okay it's like a very a very simple computer<01:22:47.260> ability<01:22:47.679> model<01:22:47.949> that<01:22:48.039> you<01:22:48.099> can 01:22:48.209 --> 01:22:48.219 align:start position:0% computer ability model that you can 01:22:48.219 --> 01:22:49.620 align:start position:0% computer ability model that you can build<01:22:48.429> which<01:22:48.670> is<01:22:48.699> one<01:22:48.940> that<01:22:49.090> we<01:22:49.150> sort<01:22:49.360> of<01:22:49.420> deal 01:22:49.620 --> 01:22:49.630 align:start position:0% build which is one that we sort of deal 01:22:49.630 --> 01:22:51.959 align:start position:0% build which is one that we sort of deal with<01:22:49.659> in<01:22:49.989> in<01:22:50.590> the<01:22:51.250> statement<01:22:51.610> which<01:22:51.699> may<01:22:51.849> or 01:22:51.959 --> 01:22:51.969 align:start position:0% with in in the statement which may or 01:22:51.969 --> 01:22:53.399 align:start position:0% with in in the statement which may or may<01:22:52.059> not<01:22:52.090> be<01:22:52.329> of<01:22:52.420> course<01:22:52.630> the<01:22:52.809> accurate<01:22:53.199> at<01:22:53.289> all 01:22:53.399 --> 01:22:53.409 align:start position:0% may not be of course the accurate at all 01:22:53.409 --> 01:22:55.529 align:start position:0% may not be of course the accurate at all is<01:22:54.130> maybe<01:22:54.519> maybe<01:22:54.880> the<01:22:55.030> way<01:22:55.150> that<01:22:55.360> we<01:22:55.420> define 01:22:55.529 --> 01:22:55.539 align:start position:0% is maybe maybe the way that we define 01:22:55.539 --> 01:22:57.540 align:start position:0% is maybe maybe the way that we define our<01:22:55.840> world<01:22:55.869> and<01:22:56.679> as<01:22:56.769> we<01:22:56.920> say<01:22:57.070> that<01:22:57.099> the<01:22:57.340> world 01:22:57.540 --> 01:22:57.550 align:start position:0% our world and as we say that the world 01:22:57.550 --> 01:22:59.790 align:start position:0% our world and as we say that the world is<01:22:57.969> that<01:22:58.329> the<01:22:58.449> world<01:22:58.659> and<01:22:59.079> the<01:22:59.170> set<01:22:59.349> of<01:22:59.440> worlds 01:22:59.790 --> 01:22:59.800 align:start position:0% is that the world and the set of worlds 01:22:59.800 --> 01:23:01.740 align:start position:0% is that the world and the set of worlds is<01:22:59.920> applied<01:23:00.130> my<01:23:00.250> three<01:23:00.489> things<01:23:00.699> a<01:23:01.030> set<01:23:01.659> of 01:23:01.740 --> 01:23:01.750 align:start position:0% is applied my three things a set of 01:23:01.750 --> 01:23:04.049 align:start position:0% is applied my three things a set of public<01:23:01.960> information<01:23:02.349> I<01:23:02.889> set<01:23:03.610> of<01:23:03.699> secret 01:23:04.049 --> 01:23:04.059 align:start position:0% public information I set of secret 01:23:04.059 --> 01:23:06.089 align:start position:0% public information I set of secret information<01:23:04.300> to<01:23:04.599> P<01:23:04.900> and<01:23:05.170> a<01:23:05.650> sort<01:23:05.829> of<01:23:05.860> secret 01:23:06.089 --> 01:23:06.099 align:start position:0% information to P and a sort of secret 01:23:06.099 --> 01:23:06.990 align:start position:0% information to P and a sort of secret information 01:23:06.990 --> 01:23:07.000 align:start position:0% information 01:23:07.000 --> 01:23:09.480 align:start position:0% information right<01:23:07.690> and<01:23:08.110> you<01:23:08.470> maintain<01:23:08.620> the<01:23:09.040> rule<01:23:09.250> whatever 01:23:09.480 --> 01:23:09.490 align:start position:0% right and you maintain the rule whatever 01:23:09.490 --> 01:23:12.120 align:start position:0% right and you maintain the rule whatever the<01:23:09.760> world<01:23:10.090> is<01:23:10.690> a<01:23:10.720> particularly<01:23:11.230> we<01:23:11.800> say<01:23:11.950> that 01:23:12.120 --> 01:23:12.130 align:start position:0% the world is a particularly we say that 01:23:12.130 --> 01:23:14.490 align:start position:0% the world is a particularly we say that in<01:23:12.220> all<01:23:12.370> worlds<01:23:12.850> it<01:23:12.940> holds<01:23:13.180> true<01:23:13.390> that<01:23:14.080> if<01:23:14.230> some 01:23:14.490 --> 01:23:14.500 align:start position:0% in all worlds it holds true that if some 01:23:14.500 --> 01:23:16.320 align:start position:0% in all worlds it holds true that if some act<01:23:15.010> something's<01:23:15.550> up<01:23:15.700> some<01:23:16.030> that<01:23:16.150> said 01:23:16.320 --> 01:23:16.330 align:start position:0% act something's up some that said 01:23:16.330 --> 01:23:19.530 align:start position:0% act something's up some that said element<01:23:16.690> X<01:23:16.870> is<01:23:17.440> in<01:23:18.190> the<01:23:18.670> secret<01:23:18.940> information 01:23:19.530 --> 01:23:19.540 align:start position:0% element X is in the secret information 01:23:19.540 --> 01:23:21.780 align:start position:0% element X is in the secret information of<01:23:19.660> a<01:23:19.870> then<01:23:20.710> it<01:23:20.890> is<01:23:21.010> not<01:23:21.250> in<01:23:21.520> the<01:23:21.640> public 01:23:21.780 --> 01:23:21.790 align:start position:0% of a then it is not in the public 01:23:21.790 --> 01:23:25.560 align:start position:0% of a then it is not in the public information<01:23:22.210> okay<01:23:23.140> so<01:23:23.590> if<01:23:23.980> a<01:23:24.310> if<01:23:24.760> a<01:23:25.030> has<01:23:25.300> to<01:23:25.450> see 01:23:25.560 --> 01:23:25.570 align:start position:0% information okay so if a if a has to see 01:23:25.570 --> 01:23:27.390 align:start position:0% information okay so if a if a has to see an<01:23:25.690> information<01:23:26.170> that<01:23:26.560> is<01:23:26.680> not<01:23:26.830> in<01:23:27.040> the<01:23:27.100> public 01:23:27.390 --> 01:23:27.400 align:start position:0% an information that is not in the public 01:23:27.400 --> 01:23:29.460 align:start position:0% an information that is not in the public information<01:23:27.640> right<01:23:28.540> and<01:23:28.690> the<01:23:28.750> further<01:23:29.020> we<01:23:29.260> say 01:23:29.460 --> 01:23:29.470 align:start position:0% information right and the further we say 01:23:29.470 --> 01:23:32.280 align:start position:0% information right and the further we say the<01:23:29.920> computable<01:23:30.460> the<01:23:30.880> computable<01:23:31.420> moves<01:23:31.720> that 01:23:32.280 --> 01:23:32.290 align:start position:0% the computable the computable moves that 01:23:32.290 --> 01:23:34.650 align:start position:0% the computable the computable moves that can<01:23:32.470> be<01:23:32.560> played<01:23:32.800> is<01:23:33.520> the<01:23:33.730> intersection<01:23:34.180> of<01:23:34.480> all 01:23:34.650 --> 01:23:34.660 align:start position:0% can be played is the intersection of all 01:23:34.660 --> 01:23:36.870 align:start position:0% can be played is the intersection of all the<01:23:34.780> possible<01:23:35.140> groups<01:23:35.410> with<01:23:36.070> the<01:23:36.520> public 01:23:36.870 --> 01:23:36.880 align:start position:0% the possible groups with the public 01:23:36.880 --> 01:23:38.610 align:start position:0% the possible groups with the public information<01:23:37.030> set<01:23:37.690> so<01:23:38.110> what<01:23:38.260> this<01:23:38.380> means 01:23:38.610 --> 01:23:38.620 align:start position:0% information set so what this means 01:23:38.620 --> 01:23:42.990 align:start position:0% information set so what this means instead<01:23:38.860> of<01:23:38.980> X<01:23:39.310> is<01:23:39.730> in<01:23:40.000> I<01:23:40.300> I<01:23:41.080> be<01:23:41.920> secret<01:23:42.370> then 01:23:42.990 --> 01:23:43.000 align:start position:0% instead of X is in I I be secret then 01:23:43.000 --> 01:23:44.670 align:start position:0% instead of X is in I I be secret then therefore<01:23:43.180> it's<01:23:43.420> not<01:23:43.540> in<01:23:43.780> I<01:23:44.020> public<01:23:44.470> and 01:23:44.670 --> 01:23:44.680 align:start position:0% therefore it's not in I public and 01:23:44.680 --> 01:23:46.680 align:start position:0% therefore it's not in I public and therefore<01:23:45.580> it's<01:23:45.760> not<01:23:45.850> in<01:23:46.270> this<01:23:46.390> intersection 01:23:46.680 --> 01:23:46.690 align:start position:0% therefore it's not in this intersection 01:23:46.690 --> 01:23:48.810 align:start position:0% therefore it's not in this intersection and<01:23:47.080> it's<01:23:47.230> not<01:23:47.380> playable<01:23:47.740> so<01:23:48.280> this<01:23:48.370> is<01:23:48.460> a<01:23:48.550> very 01:23:48.810 --> 01:23:48.820 align:start position:0% and it's not playable so this is a very 01:23:48.820 --> 01:23:51.420 align:start position:0% and it's not playable so this is a very simple<01:23:49.300> very<01:23:49.540> rudimentary<01:23:49.960> way<01:23:50.410> to<01:23:51.100> try<01:23:51.370> to 01:23:51.420 --> 01:23:51.430 align:start position:0% simple very rudimentary way to try to 01:23:51.430 --> 01:23:53.340 align:start position:0% simple very rudimentary way to try to restrict<01:23:51.820> these<01:23:52.000> game<01:23:52.240> trees<01:23:52.510> it's<01:23:52.900> probably 01:23:53.340 --> 01:23:53.350 align:start position:0% restrict these game trees it's probably 01:23:53.350 --> 01:23:54.990 align:start position:0% restrict these game trees it's probably has<01:23:53.440> nothing<01:23:53.800> to<01:23:53.830> do<01:23:53.950> like<01:23:54.100> a<01:23:54.190> you<01:23:54.700> know<01:23:54.730> maybe 01:23:54.990 --> 01:23:55.000 align:start position:0% has nothing to do like a you know maybe 01:23:55.000 --> 01:23:56.490 align:start position:0% has nothing to do like a you know maybe when<01:23:55.300> I<01:23:55.330> said<01:23:55.510> this<01:23:55.630> was<01:23:55.810> like<01:23:55.960> universe<01:23:56.380> of 01:23:56.490 --> 01:23:56.500 align:start position:0% when I said this was like universe of 01:23:56.500 --> 01:23:57.960 align:start position:0% when I said this was like universe of composability<01:23:57.010> and<01:23:57.370> get<01:23:57.490> it<01:23:57.580> you<01:23:57.700> know<01:23:57.790> I<01:23:57.820> get 01:23:57.960 --> 01:23:57.970 align:start position:0% composability and get it you know I get 01:23:57.970 --> 01:23:59.130 align:start position:0% composability and get it you know I get an<01:23:58.030> actual<01:23:58.240> security<01:23:58.600> model<01:23:59.020> that 01:23:59.130 --> 01:23:59.140 align:start position:0% an actual security model that 01:23:59.140 --> 01:24:00.840 align:start position:0% an actual security model that corresponds<01:23:59.590> to<01:23:59.620> crypto<01:23:59.920> slapped<01:24:00.160> on<01:24:00.310> it<01:24:00.550> this 01:24:00.840 --> 01:24:00.850 align:start position:0% corresponds to crypto slapped on it this 01:24:00.850 --> 01:24:02.490 align:start position:0% corresponds to crypto slapped on it this is<01:24:00.940> probably<01:24:01.180> not<01:24:01.390> it<01:24:01.690> but<01:24:02.200> it<01:24:02.260> gives<01:24:02.350> you<01:24:02.470> a 01:24:02.490 --> 01:24:02.500 align:start position:0% is probably not it but it gives you a 01:24:02.500 --> 01:24:05.190 align:start position:0% is probably not it but it gives you a good<01:24:02.710> intuition<01:24:02.980> for<01:24:03.520> what's<01:24:03.700> going<01:24:03.850> on<01:24:04.200> yes 01:24:05.190 --> 01:24:05.200 align:start position:0% good intuition for what's going on yes 01:24:05.200 --> 01:24:06.840 align:start position:0% good intuition for what's going on yes that's<01:24:05.530> the<01:24:05.650> question 01:24:06.840 --> 01:24:06.850 align:start position:0% that's the question 01:24:06.850 --> 01:24:11.070 align:start position:0% that's the question it's<01:24:07.420> public<01:24:07.900> but<01:24:08.050> it<01:24:08.170> is<01:24:08.320> it<01:24:08.470> or<01:24:09.460> private<01:24:10.330> yeah 01:24:11.070 --> 01:24:11.080 align:start position:0% it's public but it is it or private yeah 01:24:11.080 --> 01:24:13.890 align:start position:0% it's public but it is it or private yeah so<01:24:11.410> what<01:24:11.950> is<01:24:12.340> it<01:24:12.490> right<01:24:12.760> right<01:24:13.270> so<01:24:13.510> we'll<01:24:13.690> say 01:24:13.890 --> 01:24:13.900 align:start position:0% so what is it right right so we'll say 01:24:13.900 --> 01:24:15.390 align:start position:0% so what is it right right so we'll say the<01:24:14.050> public<01:24:14.380> the<01:24:14.620> public<01:24:14.770> information<01:24:15.310> is 01:24:15.390 --> 01:24:15.400 align:start position:0% the public the public information is 01:24:15.400 --> 01:24:16.920 align:start position:0% the public the public information is known<01:24:15.610> by<01:24:15.880> both<01:24:16.060> parties<01:24:16.420> that's<01:24:16.690> why<01:24:16.780> we're 01:24:16.920 --> 01:24:16.930 align:start position:0% known by both parties that's why we're 01:24:16.930 --> 01:24:18.690 align:start position:0% known by both parties that's why we're calling<01:24:17.050> it<01:24:17.230> public<01:24:17.620> right<01:24:18.010> and<01:24:18.220> so<01:24:18.490> maybe 01:24:18.690 --> 01:24:18.700 align:start position:0% calling it public right and so maybe 01:24:18.700 --> 01:24:20.100 align:start position:0% calling it public right and so maybe this<01:24:18.850> isn't<01:24:19.030> accurate<01:24:19.510> to<01:24:19.600> the<01:24:19.630> meaning<01:24:19.960> so 01:24:20.100 --> 01:24:20.110 align:start position:0% this isn't accurate to the meaning so 01:24:20.110 --> 01:24:22.020 align:start position:0% this isn't accurate to the meaning so for<01:24:20.260> example<01:24:20.620> if<01:24:20.980> we<01:24:21.160> extend<01:24:21.490> this<01:24:21.670> to<01:24:21.820> can't 01:24:22.020 --> 01:24:22.030 align:start position:0% for example if we extend this to can't 01:24:22.030 --> 01:24:23.250 align:start position:0% for example if we extend this to can't party<01:24:22.390> world<01:24:22.570> on<01:24:22.690> which<01:24:22.840> there<01:24:23.050> are<01:24:23.140> many 01:24:23.250 --> 01:24:23.260 align:start position:0% party world on which there are many 01:24:23.260 --> 01:24:24.630 align:start position:0% party world on which there are many different<01:24:23.650> play<01:24:23.770> people<01:24:24.010> playing<01:24:24.280> things 01:24:24.630 --> 01:24:24.640 align:start position:0% different play people playing things 01:24:24.640 --> 01:24:25.890 align:start position:0% different play people playing things there's<01:24:25.000> not<01:24:25.120> one<01:24:25.300> public<01:24:25.510> set<01:24:25.810> of 01:24:25.890 --> 01:24:25.900 align:start position:0% there's not one public set of 01:24:25.900 --> 01:24:27.810 align:start position:0% there's not one public set of information<01:24:26.080> there's<01:24:26.980> a<01:24:27.040> set<01:24:27.250> of<01:24:27.280> information 01:24:27.810 --> 01:24:27.820 align:start position:0% information there's a set of information 01:24:27.820 --> 01:24:29.880 align:start position:0% information there's a set of information that<01:24:28.180> I<01:24:28.240> have<01:24:28.450> downloaded<01:24:28.990> and<01:24:29.410> there's<01:24:29.650> a<01:24:29.740> set 01:24:29.880 --> 01:24:29.890 align:start position:0% that I have downloaded and there's a set 01:24:29.890 --> 01:24:31.020 align:start position:0% that I have downloaded and there's a set of<01:24:29.920> information<01:24:30.100> that's<01:24:30.400> secret<01:24:30.670> to<01:24:30.820> me<01:24:30.910> that 01:24:31.020 --> 01:24:31.030 align:start position:0% of information that's secret to me that 01:24:31.030 --> 01:24:32.370 align:start position:0% of information that's secret to me that I<01:24:31.090> know<01:24:31.150> that<01:24:31.450> no<01:24:31.570> one<01:24:31.600> else<01:24:31.810> is<01:24:31.930> downloaded 01:24:32.370 --> 01:24:32.380 align:start position:0% I know that no one else is downloaded 01:24:32.380 --> 01:24:34.230 align:start position:0% I know that no one else is downloaded but<01:24:32.800> making<01:24:33.070> the<01:24:33.130> local<01:24:33.550> information<01:24:33.730> that<01:24:34.150> is 01:24:34.230 --> 01:24:34.240 align:start position:0% but making the local information that is 01:24:34.240 --> 01:24:36.570 align:start position:0% but making the local information that is public<01:24:34.660> that<01:24:35.080> I<01:24:35.110> have<01:24:35.290> downloaded<01:24:35.680> is<01:24:35.890> not<01:24:36.130> is 01:24:36.570 --> 01:24:36.580 align:start position:0% public that I have downloaded is not is 01:24:36.580 --> 01:24:38.610 align:start position:0% public that I have downloaded is not is not<01:24:36.640> is<01:24:37.150> not<01:24:37.420> that<01:24:37.720> downloaded<01:24:38.170> by<01:24:38.290> someone 01:24:38.610 --> 01:24:38.620 align:start position:0% not is not that downloaded by someone 01:24:38.620 --> 01:24:40.620 align:start position:0% not is not that downloaded by someone else<01:24:38.770> right<01:24:39.040> so<01:24:39.370> there's<01:24:39.580> many<01:24:39.970> more<01:24:40.240> complex 01:24:40.620 --> 01:24:40.630 align:start position:0% else right so there's many more complex 01:24:40.630 --> 01:24:41.580 align:start position:0% else right so there's many more complex models<01:24:41.020> you<01:24:41.080> can<01:24:41.200> build 01:24:41.580 --> 01:24:41.590 align:start position:0% models you can build 01:24:41.590 --> 01:24:43.410 align:start position:0% models you can build far<01:24:41.770> more<01:24:42.070> complex<01:24:42.340> models<01:24:42.730> and<01:24:42.910> that's<01:24:43.270> what 01:24:43.410 --> 01:24:43.420 align:start position:0% far more complex models and that's what 01:24:43.420 --> 01:24:45.720 align:start position:0% far more complex models and that's what we<01:24:43.510> need<01:24:43.660> we<01:24:43.870> need<01:24:43.900> a<01:24:44.050> better<01:24:44.290> model<01:24:44.640> this<01:24:45.640> is<01:24:45.700> a 01:24:45.720 --> 01:24:45.730 align:start position:0% we need we need a better model this is a 01:24:45.730 --> 01:24:47.010 align:start position:0% we need we need a better model this is a very<01:24:45.910> simple<01:24:46.330> one<01:24:46.420> that<01:24:46.660> we<01:24:46.720> can<01:24:46.840> throw 01:24:47.010 --> 01:24:47.020 align:start position:0% very simple one that we can throw 01:24:47.020 --> 01:24:49.200 align:start position:0% very simple one that we can throw together<01:24:47.170> just<01:24:47.650> to<01:24:47.830> pull<01:24:48.010> out<01:24:48.190> the<01:24:48.490> course<01:24:48.790> or 01:24:49.200 --> 01:24:49.210 align:start position:0% together just to pull out the course or 01:24:49.210 --> 01:24:51.720 align:start position:0% together just to pull out the course or elements<01:24:49.690> of 01:24:51.720 --> 01:24:51.730 align:start position:0% elements of 01:24:51.730 --> 01:24:54.640 align:start position:0% elements of other<01:24:52.730> questions<01:24:53.300> five<01:24:54.050> minutes<01:24:54.380> which<01:24:54.560> I'm 01:24:54.640 --> 01:24:54.650 align:start position:0% other questions five minutes which I'm 01:24:54.650 --> 01:24:55.870 align:start position:0% other questions five minutes which I'm pretty<01:24:54.770> pleased<01:24:55.010> because<01:24:55.190> we're<01:24:55.460> pretty<01:24:55.670> much 01:24:55.870 --> 01:24:55.880 align:start position:0% pretty pleased because we're pretty much 01:24:55.880 --> 01:24:59.950 align:start position:0% pretty pleased because we're pretty much there<01:24:57.489> okay<01:24:58.489> so<01:24:58.940> a<01:24:58.969> really<01:24:59.330> simple<01:24:59.570> example 01:24:59.950 --> 01:24:59.960 align:start position:0% there okay so a really simple example 01:24:59.960 --> 01:25:01.870 align:start position:0% there okay so a really simple example with<01:25:00.469> this<01:25:00.590> very<01:25:00.920> very<01:25:01.159> very<01:25:01.280> simple<01:25:01.520> model 01:25:01.870 --> 01:25:01.880 align:start position:0% with this very very very simple model 01:25:01.880 --> 01:25:03.729 align:start position:0% with this very very very simple model which<01:25:01.940> again<01:25:02.210> probably<01:25:02.750> not<01:25:03.050> accurate<01:25:03.260> to<01:25:03.710> the 01:25:03.729 --> 01:25:03.739 align:start position:0% which again probably not accurate to the 01:25:03.739 --> 01:25:05.140 align:start position:0% which again probably not accurate to the computer<01:25:04.100> science<01:25:04.429> out<01:25:04.580> there<01:25:04.730> but<01:25:05.060> it's 01:25:05.140 --> 01:25:05.150 align:start position:0% computer science out there but it's 01:25:05.150 --> 01:25:06.850 align:start position:0% computer science out there but it's accurate<01:25:05.330> enough<01:25:05.510> to<01:25:05.989> give<01:25:06.199> us<01:25:06.380> a<01:25:06.560> layered<01:25:06.830> you 01:25:06.850 --> 01:25:06.860 align:start position:0% accurate enough to give us a layered you 01:25:06.860 --> 01:25:08.379 align:start position:0% accurate enough to give us a layered you can<01:25:07.100> treat<01:25:07.340> that<01:25:07.429> actually<01:25:07.790> corresponds<01:25:08.239> to 01:25:08.379 --> 01:25:08.389 align:start position:0% can treat that actually corresponds to 01:25:08.389 --> 01:25:10.419 align:start position:0% can treat that actually corresponds to what<01:25:08.690> really<01:25:08.960> is<01:25:09.110> done<01:25:09.530> on<01:25:09.830> chained<01:25:10.190> in 01:25:10.419 --> 01:25:10.429 align:start position:0% what really is done on chained in 01:25:10.429 --> 01:25:11.609 align:start position:0% what really is done on chained in literature 01:25:11.609 --> 01:25:11.619 align:start position:0% literature 01:25:11.619 --> 01:25:16.000 align:start position:0% literature so<01:25:12.619> the<01:25:12.800> preimage<01:25:13.219> existence<01:25:14.060> you<01:25:14.989> know<01:25:15.020> you 01:25:16.000 --> 01:25:16.010 align:start position:0% so the preimage existence you know you 01:25:16.010 --> 01:25:17.290 align:start position:0% so the preimage existence you know you know<01:25:16.100> sort<01:25:16.340> of<01:25:16.400> predicate<01:25:16.850> is<01:25:17.000> like<01:25:17.179> the 01:25:17.290 --> 01:25:17.300 align:start position:0% know sort of predicate is like the 01:25:17.300 --> 01:25:19.359 align:start position:0% know sort of predicate is like the simplest<01:25:17.690> sort<01:25:18.080> of<01:25:18.170> rudimentary<01:25:18.380> example<01:25:19.219> of 01:25:19.359 --> 01:25:19.369 align:start position:0% simplest sort of rudimentary example of 01:25:19.369 --> 01:25:22.840 align:start position:0% simplest sort of rudimentary example of what<01:25:19.550> happens<01:25:19.940> right<01:25:20.150> so<01:25:20.780> the<01:25:21.550> game<01:25:22.550> or 01:25:22.840 --> 01:25:22.850 align:start position:0% what happens right so the game or 01:25:22.850 --> 01:25:25.090 align:start position:0% what happens right so the game or proposition<01:25:23.300> is<01:25:23.389> as<01:25:23.510> follows<01:25:23.840> there<01:25:24.500> exists<01:25:24.980> a 01:25:25.090 --> 01:25:25.100 align:start position:0% proposition is as follows there exists a 01:25:25.100 --> 01:25:27.970 align:start position:0% proposition is as follows there exists a hash<01:25:25.429> in<01:25:25.820> you<01:25:26.270> know<01:25:26.360> the<01:25:26.540> set<01:25:26.690> of<01:25:26.780> lights<01:25:26.989> such 01:25:27.970 --> 01:25:27.980 align:start position:0% hash in you know the set of lights such 01:25:27.980 --> 01:25:30.129 align:start position:0% hash in you know the set of lights such that<01:25:28.190> is<01:25:28.429> has<01:25:28.699> privileged<01:25:29.179> H<01:25:29.449> and<01:25:29.780> H<01:25:29.929> naught 01:25:30.129 --> 01:25:30.139 align:start position:0% that is has privileged H and H naught 01:25:30.139 --> 01:25:33.129 align:start position:0% that is has privileged H and H naught for<01:25:30.500> some<01:25:30.679> some<01:25:31.159> fixed<01:25:31.580> H<01:25:31.699> naught<01:25:31.969> is<01:25:32.869> known 01:25:33.129 --> 01:25:33.139 align:start position:0% for some some fixed H naught is known 01:25:33.139 --> 01:25:36.370 align:start position:0% for some some fixed H naught is known okay<01:25:33.440> so<01:25:34.100> this<01:25:34.400> game<01:25:34.760> has<01:25:35.690> a<01:25:35.719> different<01:25:36.230> game 01:25:36.370 --> 01:25:36.380 align:start position:0% okay so this game has a different game 01:25:36.380 --> 01:25:39.729 align:start position:0% okay so this game has a different game tree<01:25:36.590> depending<01:25:37.280> on<01:25:37.369> whether<01:25:37.610> or<01:25:37.730> not<01:25:37.850> H<01:25:38.810> the 01:25:39.729 --> 01:25:39.739 align:start position:0% tree depending on whether or not H the 01:25:39.739 --> 01:25:41.709 align:start position:0% tree depending on whether or not H the particularly<01:25:40.610> you<01:25:40.699> know<01:25:40.760> a<01:25:40.850> little<01:25:41.300> H<01:25:41.360> is 01:25:41.709 --> 01:25:41.719 align:start position:0% particularly you know a little H is 01:25:41.719 --> 01:25:44.200 align:start position:0% particularly you know a little H is known<01:25:42.110> it's<01:25:42.889> in<01:25:43.040> the<01:25:43.130> moment<01:25:43.250> information<01:25:43.489> or 01:25:44.200 --> 01:25:44.210 align:start position:0% known it's in the moment information or 01:25:44.210 --> 01:25:46.359 align:start position:0% known it's in the moment information or is<01:25:44.330> not<01:25:44.510> right<01:25:44.960> so<01:25:45.530> this<01:25:45.710> is<01:25:45.860> the<01:25:45.949> game<01:25:46.130> for 01:25:46.359 --> 01:25:46.369 align:start position:0% is not right so this is the game for 01:25:46.369 --> 01:25:50.229 align:start position:0% is not right so this is the game for this<01:25:46.460> game<01:25:47.150> up<01:25:47.300> there<01:25:47.449> so<01:25:48.020> we'll<01:25:48.469> W<01:25:48.949> in<01:25:49.159> which<01:25:49.760> H 01:25:50.229 --> 01:25:50.239 align:start position:0% this game up there so we'll W in which H 01:25:50.239 --> 01:25:54.580 align:start position:0% this game up there so we'll W in which H naught<01:25:50.570> is<01:25:50.780> in<01:25:51.080> pub<01:25:51.739> then<01:25:52.580> this<01:25:53.540> game<01:25:53.750> is<01:25:54.230> true 01:25:54.580 --> 01:25:54.590 align:start position:0% naught is in pub then this game is true 01:25:54.590 --> 01:25:57.879 align:start position:0% naught is in pub then this game is true this<01:25:54.770> game<01:25:54.980> is<01:25:55.159> true<01:25:55.400> right<01:25:55.790> because<01:25:56.889> the 01:25:57.879 --> 01:25:57.889 align:start position:0% this game is true right because the 01:25:57.889 --> 01:25:59.979 align:start position:0% this game is true right because the premiere<01:25:58.280> says<01:25:58.550> there<01:25:58.820> exists<01:25:59.090> a<01:25:59.239> chance<01:25:59.750> the 01:25:59.979 --> 01:25:59.989 align:start position:0% premiere says there exists a chance the 01:25:59.989 --> 01:26:01.000 align:start position:0% premiere says there exists a chance the purpose<01:26:00.260> of<01:26:00.440> this<01:26:00.590> thing 01:26:01.000 --> 01:26:01.010 align:start position:0% purpose of this thing 01:26:01.010 --> 01:26:02.919 align:start position:0% purpose of this thing then<01:26:01.250> the<01:26:01.400> abundance<01:26:01.699> has<01:26:01.790> no<01:26:02.060> hope<01:26:02.300> for<01:26:02.719> all 01:26:02.919 --> 01:26:02.929 align:start position:0% then the abundance has no hope for all 01:26:02.929 --> 01:26:06.700 align:start position:0% then the abundance has no hope for all age<01:26:03.260> not<01:26:04.250> is<01:26:04.580> Hashmi<01:26:05.119> image<01:26:05.360> but<01:26:05.840> because<01:26:06.230> H 01:26:06.700 --> 01:26:06.710 align:start position:0% age not is Hashmi image but because H 01:26:06.710 --> 01:26:09.399 align:start position:0% age not is Hashmi image but because H naught<01:26:07.070> is<01:26:07.580> in<01:26:07.940> the<01:26:08.150> public<01:26:08.480> information<01:26:08.989> he 01:26:09.399 --> 01:26:09.409 align:start position:0% naught is in the public information he 01:26:09.409 --> 01:26:11.229 align:start position:0% naught is in the public information he may<01:26:09.710> choose<01:26:09.949> it<01:26:10.159> is<01:26:10.400> in<01:26:10.670> the<01:26:10.820> computable 01:26:11.229 --> 01:26:11.239 align:start position:0% may choose it is in the computable 01:26:11.239 --> 01:26:13.780 align:start position:0% may choose it is in the computable subset<01:26:11.659> so<01:26:11.989> it<01:26:12.110> may<01:26:12.320> be<01:26:12.560> played<01:26:12.830> and<01:26:13.100> so<01:26:13.670> now 01:26:13.780 --> 01:26:13.790 align:start position:0% subset so it may be played and so now 01:26:13.790 --> 01:26:16.120 align:start position:0% subset so it may be played and so now that<01:26:13.850> the<01:26:14.239> P<01:26:14.480> naught<01:26:15.260> is<01:26:15.290> hatched<01:26:15.710> village 01:26:16.120 --> 01:26:16.130 align:start position:0% that the P naught is hatched village 01:26:16.130 --> 01:26:18.250 align:start position:0% that the P naught is hatched village Judas<01:26:16.909> is<01:26:17.060> that<01:26:17.239> not<01:26:17.480> decided<01:26:17.989> image 01:26:18.250 --> 01:26:18.260 align:start position:0% Judas is that not decided image 01:26:18.260 --> 01:26:20.350 align:start position:0% Judas is that not decided image purchases<01:26:18.830> fish<01:26:19.100> has<01:26:19.280> been<01:26:19.460> image<01:26:19.670> and<01:26:20.239> this 01:26:20.350 --> 01:26:20.360 align:start position:0% purchases fish has been image and this 01:26:20.360 --> 01:26:23.350 align:start position:0% purchases fish has been image and this is<01:26:20.480> true<01:26:20.719> right<01:26:21.199> so<01:26:21.440> it's<01:26:21.560> one<01:26:21.770> by<01:26:21.980> people<01:26:22.400> so 01:26:23.350 --> 01:26:23.360 align:start position:0% is true right so it's one by people so 01:26:23.360 --> 01:26:26.379 align:start position:0% is true right so it's one by people so in<01:26:23.510> a<01:26:23.540> world<01:26:23.780> in<01:26:24.469> which<01:26:24.530> H<01:26:25.310> naught<01:26:25.670> is<01:26:25.940> in<01:26:26.210> the 01:26:26.379 --> 01:26:26.389 align:start position:0% in a world in which H naught is in the 01:26:26.389 --> 01:26:27.280 align:start position:0% in a world in which H naught is in the public<01:26:26.540> domain 01:26:27.280 --> 01:26:27.290 align:start position:0% public domain 01:26:27.290 --> 01:26:30.040 align:start position:0% public domain then<01:26:28.130> this<01:26:28.429> proposition<01:26:28.940> is<01:26:29.360> interpreted<01:26:29.929> as 01:26:30.040 --> 01:26:30.050 align:start position:0% then this proposition is interpreted as 01:26:30.050 --> 01:26:31.720 align:start position:0% then this proposition is interpreted as true<01:26:30.260> because<01:26:30.590> this<01:26:30.800> is<01:26:31.070> a<01:26:31.100> winning<01:26:31.429> strategy 01:26:31.720 --> 01:26:31.730 align:start position:0% true because this is a winning strategy 01:26:31.730 --> 01:26:35.160 align:start position:0% true because this is a winning strategy for<01:26:32.239> that<01:26:32.600> composition<01:26:33.130> for<01:26:34.130> the<01:26:34.190> proven 01:26:35.160 --> 01:26:35.170 align:start position:0% for that composition for the proven 01:26:35.170 --> 01:26:39.310 align:start position:0% for that composition for the proven however<01:26:36.170> instead<01:26:37.040> H<01:26:37.730> naught<01:26:38.000> is<01:26:38.179> secret<01:26:38.719> right 01:26:39.310 --> 01:26:39.320 align:start position:0% however instead H naught is secret right 01:26:39.320 --> 01:26:41.560 align:start position:0% however instead H naught is secret right its<01:26:39.530> secrets<01:26:40.070> to<01:26:40.460> the<01:26:40.580> opponent<01:26:41.000> then<01:26:41.420> this 01:26:41.560 --> 01:26:41.570 align:start position:0% its secrets to the opponent then this 01:26:41.570 --> 01:26:43.959 align:start position:0% its secrets to the opponent then this will<01:26:41.750> not<01:26:41.929> be<01:26:42.110> true<01:26:42.350> because<01:26:43.010> this<01:26:43.400> step<01:26:43.730> which 01:26:43.959 --> 01:26:43.969 align:start position:0% will not be true because this step which 01:26:43.969 --> 01:26:46.810 align:start position:0% will not be true because this step which we<01:26:44.060> previously<01:26:44.330> had<01:26:44.810> is<01:26:45.199> is<01:26:45.920> not<01:26:46.190> to<01:26:46.429> be<01:26:46.580> is<01:26:46.699> not 01:26:46.810 --> 01:26:46.820 align:start position:0% we previously had is is not to be is not 01:26:46.820 --> 01:26:47.650 align:start position:0% we previously had is is not to be is not computable 01:26:47.650 --> 01:26:47.660 align:start position:0% computable 01:26:47.660 --> 01:26:50.440 align:start position:0% computable it's<01:26:47.840> not<01:26:48.280> possible<01:26:49.280> random<01:26:49.610> may<01:26:50.120> be<01:26:50.180> allowed 01:26:50.440 --> 01:26:50.450 align:start position:0% it's not possible random may be allowed 01:26:50.450 --> 01:26:53.050 align:start position:0% it's not possible random may be allowed it's<01:26:51.080> not<01:26:51.230> possible<01:26:51.710> because<01:26:52.250> H<01:26:52.610> naught<01:26:52.850> is 01:26:53.050 --> 01:26:53.060 align:start position:0% it's not possible because H naught is 01:26:53.060 --> 01:26:55.150 align:start position:0% it's not possible because H naught is not<01:26:53.330> in<01:26:53.540> peace<01:26:53.750> it's<01:26:54.590> not<01:26:54.740> in<01:26:54.920> the<01:26:55.010> public 01:26:55.150 --> 01:26:55.160 align:start position:0% not in peace it's not in the public 01:26:55.160 --> 01:26:56.950 align:start position:0% not in peace it's not in the public center<01:26:55.550> information<01:26:56.000> so<01:26:56.330> you<01:26:56.390> have<01:26:56.600> to<01:26:56.780> play 01:26:56.950 --> 01:26:56.960 align:start position:0% center information so you have to play 01:26:56.960 --> 01:26:59.770 align:start position:0% center information so you have to play and<01:26:57.830> no<01:26:58.100> matter<01:26:58.280> what<01:26:58.550> the<01:26:58.760> actual<01:26:58.910> world<01:26:59.420> is 01:26:59.770 --> 01:26:59.780 align:start position:0% and no matter what the actual world is 01:26:59.780 --> 01:27:00.940 align:start position:0% and no matter what the actual world is right<01:27:00.050> so<01:27:00.200> maybe<01:27:00.410> the<01:27:00.500> rest<01:27:00.680> of<01:27:00.770> the<01:27:00.860> elements 01:27:00.940 --> 01:27:00.950 align:start position:0% right so maybe the rest of the elements 01:27:00.950 --> 01:27:04.840 align:start position:0% right so maybe the rest of the elements we<01:27:01.220> said<01:27:02.590> we<01:27:03.590> might<01:27:03.770> play<01:27:03.950> some<01:27:04.130> H<01:27:04.280> prime<01:27:04.550> or 01:27:04.840 --> 01:27:04.850 align:start position:0% we said we might play some H prime or 01:27:04.850 --> 01:27:06.400 align:start position:0% we said we might play some H prime or some<01:27:05.000> major<01:27:05.120> private<01:27:05.390> line<01:27:05.660> but<01:27:06.170> no<01:27:06.260> matter 01:27:06.400 --> 01:27:06.410 align:start position:0% some major private line but no matter 01:27:06.410 --> 01:27:07.840 align:start position:0% some major private line but no matter what<01:27:06.620> happens<01:27:06.980> there<01:27:07.160> those<01:27:07.550> are<01:27:07.670> gonna<01:27:07.760> be 01:27:07.840 --> 01:27:07.850 align:start position:0% what happens there those are gonna be 01:27:07.850 --> 01:27:10.060 align:start position:0% what happens there those are gonna be false<01:27:08.090> because<01:27:08.300> of<01:27:08.540> that<01:27:08.630> they<01:27:09.020> only<01:27:09.530> inch 01:27:10.060 --> 01:27:10.070 align:start position:0% false because of that they only inch 01:27:10.070 --> 01:27:12.400 align:start position:0% false because of that they only inch only<01:27:10.940> this<01:27:11.150> image<01:27:11.390> not<01:27:11.600> which<01:27:11.840> is<01:27:11.990> secret<01:27:12.230> and 01:27:12.400 --> 01:27:12.410 align:start position:0% only this image not which is secret and 01:27:12.410 --> 01:27:13.690 align:start position:0% only this image not which is secret and there<01:27:12.560> we're<01:27:12.710> not<01:27:12.830> playable<01:27:13.100> there's<01:27:13.580> gonna 01:27:13.690 --> 01:27:13.700 align:start position:0% there we're not playable there's gonna 01:27:13.700 --> 01:27:14.890 align:start position:0% there we're not playable there's gonna be<01:27:13.820> the<01:27:13.940> thing<01:27:14.060> that<01:27:14.090> gets<01:27:14.300> us<01:27:14.480> to<01:27:14.510> a<01:27:14.630> true 01:27:14.890 --> 01:27:14.900 align:start position:0% be the thing that gets us to a true 01:27:14.900 --> 01:27:16.870 align:start position:0% be the thing that gets us to a true statement<01:27:15.200> at<01:27:15.470> the<01:27:15.560> bottom<01:27:15.680> a<01:27:15.980> truly<01:27:16.400> a<01:27:16.610> true 01:27:16.870 --> 01:27:16.880 align:start position:0% statement at the bottom a truly a true 01:27:16.880 --> 01:27:18.370 align:start position:0% statement at the bottom a truly a true game<01:27:17.210> outcome<01:27:17.690> okay 01:27:18.370 --> 01:27:18.380 align:start position:0% game outcome okay 01:27:18.380 --> 01:27:20.410 align:start position:0% game outcome okay and<01:27:18.530> so<01:27:19.100> normally<01:27:19.340> what<01:27:19.850> this<01:27:20.000> means<01:27:20.210> is<01:27:20.390> that 01:27:20.410 --> 01:27:20.420 align:start position:0% and so normally what this means is that 01:27:20.420 --> 01:27:23.290 align:start position:0% and so normally what this means is that if<01:27:20.630> we<01:27:20.720> start<01:27:21.050> out<01:27:21.200> in<01:27:21.800> this<01:27:22.160> in<01:27:22.520> this<01:27:22.700> world<01:27:23.000> in 01:27:23.290 --> 01:27:23.300 align:start position:0% if we start out in this in this world in 01:27:23.300 --> 01:27:25.570 align:start position:0% if we start out in this in this world in which<01:27:23.420> H<01:27:23.660> not<01:27:23.900> the<01:27:23.990> secret<01:27:24.350> to<01:27:24.470> vote<01:27:24.650> then<01:27:25.370> this 01:27:25.570 --> 01:27:25.580 align:start position:0% which H not the secret to vote then this 01:27:25.580 --> 01:27:30.700 align:start position:0% which H not the secret to vote then this proposition<01:27:25.910> is<01:27:26.330> false<01:27:27.100> but<01:27:28.100> its<01:27:29.030> desired<01:27:29.710> by 01:27:30.700 --> 01:27:30.710 align:start position:0% proposition is false but its desired by 01:27:30.710 --> 01:27:33.790 align:start position:0% proposition is false but its desired by by<01:27:31.490> the<01:27:31.550> opponent<01:27:32.060> oh<01:27:32.210> may<01:27:32.900> reveal<01:27:33.410> that 01:27:33.790 --> 01:27:33.800 align:start position:0% by the opponent oh may reveal that 01:27:33.800 --> 01:27:36.940 align:start position:0% by the opponent oh may reveal that preimage<01:27:34.310> and<01:27:34.760> in<01:27:34.940> doing<01:27:35.180> so<01:27:35.360> it<01:27:36.350> would<01:27:36.560> change 01:27:36.940 --> 01:27:36.950 align:start position:0% preimage and in doing so it would change 01:27:36.950 --> 01:27:38.770 align:start position:0% preimage and in doing so it would change the<01:27:37.190> world<01:27:37.580> that<01:27:37.880> the<01:27:37.970> world<01:27:38.000> would<01:27:38.330> know<01:27:38.570> what 01:27:38.770 --> 01:27:38.780 align:start position:0% the world that the world would know what 01:27:38.780 --> 01:27:40.540 align:start position:0% the world that the world would know what managed<01:27:39.140> by<01:27:39.290> my<01:27:39.440> security<01:27:39.800> would<01:27:40.130> go<01:27:40.250> back<01:27:40.430> to 01:27:40.540 --> 01:27:40.550 align:start position:0% managed by my security would go back to 01:27:40.550 --> 01:27:43.150 align:start position:0% managed by my security would go back to this<01:27:40.670> one<01:27:40.730> and<01:27:41.270> it<01:27:41.420> would<01:27:41.480> now<01:27:41.600> be<01:27:41.660> true<01:27:42.160> so 01:27:43.150 --> 01:27:43.160 align:start position:0% this one and it would now be true so 01:27:43.160 --> 01:27:45.130 align:start position:0% this one and it would now be true so we've<01:27:43.310> changed<01:27:43.550> the<01:27:43.850> truth<01:27:44.060> so<01:27:44.570> we<01:27:44.720> started<01:27:45.080> in 01:27:45.130 --> 01:27:45.140 align:start position:0% we've changed the truth so we started in 01:27:45.140 --> 01:27:46.390 align:start position:0% we've changed the truth so we started in a<01:27:45.170> world<01:27:45.380> where<01:27:45.590> the<01:27:45.650> game<01:27:45.800> where<01:27:46.010> the<01:27:46.100> thing 01:27:46.390 --> 01:27:46.400 align:start position:0% a world where the game where the thing 01:27:46.400 --> 01:27:48.280 align:start position:0% a world where the game where the thing is<01:27:46.520> false<01:27:46.760> and<01:27:47.030> we<01:27:47.330> added<01:27:47.570> a<01:27:47.810> thing<01:27:48.110> in<01:27:48.260> which 01:27:48.280 --> 01:27:48.290 align:start position:0% is false and we added a thing in which 01:27:48.290 --> 01:27:51.010 align:start position:0% is false and we added a thing in which the<01:27:48.560> thing<01:27:48.710> is<01:27:48.800> true<01:27:49.040> right<01:27:49.670> and<01:27:49.910> because<01:27:50.720> we 01:27:51.010 --> 01:27:51.020 align:start position:0% the thing is true right and because we 01:27:51.020 --> 01:27:53.260 align:start position:0% the thing is true right and because we can<01:27:51.170> do<01:27:51.320> that<01:27:51.470> off<01:27:51.680> chain<01:27:52.010> and<01:27:52.310> because<01:27:53.000> we<01:27:53.150> can 01:27:53.260 --> 01:27:53.270 align:start position:0% can do that off chain and because we can 01:27:53.270 --> 01:27:55.690 align:start position:0% can do that off chain and because we can enforce<01:27:53.600> these<01:27:53.720> games<01:27:54.020> on<01:27:54.320> chain<01:27:54.680> this<01:27:55.340> is<01:27:55.400> how 01:27:55.690 --> 01:27:55.700 align:start position:0% enforce these games on chain this is how 01:27:55.700 --> 01:27:57.100 align:start position:0% enforce these games on chain this is how we<01:27:55.760> get<01:27:56.000> the<01:27:56.090> scalability<01:27:56.630> of<01:27:56.660> player<01:27:56.930> two 01:27:57.100 --> 01:27:57.110 align:start position:0% we get the scalability of player two 01:27:57.110 --> 01:28:00.010 align:start position:0% we get the scalability of player two solutions<01:27:57.610> wouldn't<01:27:58.610> it<01:27:58.670> be<01:27:58.820> sort<01:27:59.330> of<01:27:59.450> cleaner 01:28:00.010 --> 01:28:00.020 align:start position:0% solutions wouldn't it be sort of cleaner 01:28:00.020 --> 01:28:01.420 align:start position:0% solutions wouldn't it be sort of cleaner and<01:28:00.320> easier<01:28:00.410> to<01:28:00.680> think<01:28:00.920> about<01:28:01.130> if<01:28:01.250> you<01:28:01.400> just 01:28:01.420 --> 01:28:01.430 align:start position:0% and easier to think about if you just 01:28:01.430 --> 01:28:05.470 align:start position:0% and easier to think about if you just said<01:28:01.850> Pino<01:28:02.420> is<01:28:02.600> H<01:28:02.870> such<01:28:03.260> that<01:28:03.940> sure<01:28:04.940> that<01:28:05.300> might 01:28:05.470 --> 01:28:05.480 align:start position:0% said Pino is H such that sure that might 01:28:05.480 --> 01:28:07.210 align:start position:0% said Pino is H such that sure that might that<01:28:05.660> might<01:28:05.810> be<01:28:05.960> cleaner<01:28:06.200> yeah<01:28:06.470> absolutely 01:28:07.210 --> 01:28:07.220 align:start position:0% that might be cleaner yeah absolutely 01:28:07.220 --> 01:28:08.830 align:start position:0% that might be cleaner yeah absolutely absolutely<01:28:07.940> yeah 01:28:08.830 --> 01:28:08.840 align:start position:0% absolutely yeah 01:28:08.840 --> 01:28:10.360 align:start position:0% absolutely yeah so<01:28:08.990> this<01:28:09.290> is<01:28:09.410> a<01:28:09.440> very<01:28:09.650> simple<01:28:09.950> thing<01:28:10.040> you<01:28:10.220> like 01:28:10.360 --> 01:28:10.370 align:start position:0% so this is a very simple thing you like 01:28:10.370 --> 01:28:11.860 align:start position:0% so this is a very simple thing you like started<01:28:10.850> together<01:28:11.030> because<01:28:11.270> point<01:28:11.690> I<01:28:11.720> want<01:28:11.840> to 01:28:11.860 --> 01:28:11.870 align:start position:0% started together because point I want to 01:28:11.870 --> 01:28:13.450 align:start position:0% started together because point I want to get<01:28:11.990> across<01:28:12.140> is<01:28:12.380> these<01:28:12.800> games<01:28:13.070> were<01:28:13.280> what 01:28:13.450 --> 01:28:13.460 align:start position:0% get across is these games were what 01:28:13.460 --> 01:28:14.880 align:start position:0% get across is these games were what happened<01:28:13.610> on<01:28:13.970> to<01:28:14.060> me 01:28:14.880 --> 01:28:14.890 align:start position:0% happened on to me 01:28:14.890 --> 01:28:16.890 align:start position:0% happened on to me earlier<01:28:15.580> twos<01:28:15.850> and<01:28:16.300> someone's<01:28:16.690> you'll<01:28:16.780> be 01:28:16.890 --> 01:28:16.900 align:start position:0% earlier twos and someone's you'll be 01:28:16.900 --> 01:28:18.270 align:start position:0% earlier twos and someone's you'll be able<01:28:16.960> to<01:28:17.080> do<01:28:17.230> the<01:28:17.350> spring<01:28:17.590> rehearsal<01:28:18.040> yet 01:28:18.270 --> 01:28:18.280 align:start position:0% able to do the spring rehearsal yet 01:28:18.280 --> 01:28:21.060 align:start position:0% able to do the spring rehearsal yet effectively<01:28:18.820> yes<01:28:19.090> your<01:28:19.780> local<01:28:20.770> public 01:28:21.060 --> 01:28:21.070 align:start position:0% effectively yes your local public 01:28:21.070 --> 01:28:23.430 align:start position:0% effectively yes your local public information<01:28:21.730> an<01:28:22.030> example<01:28:22.960> of<01:28:23.050> our<01:28:23.170> building 01:28:23.430 --> 01:28:23.440 align:start position:0% information an example of our building 01:28:23.440 --> 01:28:25.260 align:start position:0% information an example of our building and<01:28:23.530> Priya<01:28:24.040> doesn't<01:28:24.790> make<01:28:24.880> the<01:28:25.000> city 01:28:25.260 --> 01:28:25.270 align:start position:0% and Priya doesn't make the city 01:28:25.270 --> 01:28:26.880 align:start position:0% and Priya doesn't make the city this<01:28:25.570> may<01:28:25.750> be<01:28:25.810> necessarily<01:28:26.410> true<01:28:26.620> for<01:28:26.650> all 01:28:26.880 --> 01:28:26.890 align:start position:0% this may be necessarily true for all 01:28:26.890 --> 01:28:28.350 align:start position:0% this may be necessarily true for all participants<01:28:27.100> just<01:28:27.760> the<01:28:27.910> party<01:28:28.210> that 01:28:28.350 --> 01:28:28.360 align:start position:0% participants just the party that 01:28:28.360 --> 01:28:30.330 align:start position:0% participants just the party that actually<01:28:28.390> revealed<01:28:29.110> to<01:28:29.350> absolutely<01:28:30.190> right 01:28:30.330 --> 01:28:30.340 align:start position:0% actually revealed to absolutely right 01:28:30.340 --> 01:28:32.010 align:start position:0% actually revealed to absolutely right and<01:28:30.550> that's<01:28:30.760> why<01:28:30.940> so<01:28:31.180> far<01:28:31.420> I've<01:28:31.600> defined<01:28:31.870> the 01:28:32.010 --> 01:28:32.020 align:start position:0% and that's why so far I've defined the 01:28:32.020 --> 01:28:33.420 align:start position:0% and that's why so far I've defined the semantics<01:28:32.530> as<01:28:32.650> between<01:28:32.860> two<01:28:33.070> imaginary 01:28:33.420 --> 01:28:33.430 align:start position:0% semantics as between two imaginary 01:28:33.430 --> 01:28:35.250 align:start position:0% semantics as between two imaginary players<01:28:33.910> of<01:28:34.090> group<01:28:34.240> Republic<01:28:34.690> where<01:28:35.170> you're 01:28:35.250 --> 01:28:35.260 align:start position:0% players of group Republic where you're 01:28:35.260 --> 01:28:36.750 align:start position:0% players of group Republic where you're absolutely<01:28:35.500> right<01:28:35.830> well<01:28:36.070> we<01:28:36.190> need<01:28:36.280> to<01:28:36.400> do<01:28:36.520> to 01:28:36.750 --> 01:28:36.760 align:start position:0% absolutely right well we need to do to 01:28:36.760 --> 01:28:37.950 align:start position:0% absolutely right well we need to do to like<01:28:36.880> hit<01:28:37.060> this<01:28:37.180> with<01:28:37.330> the<01:28:37.390> universal 01:28:37.950 --> 01:28:37.960 align:start position:0% like hit this with the universal 01:28:37.960 --> 01:28:40.080 align:start position:0% like hit this with the universal composability<01:28:38.440> but<01:28:38.890> you<01:28:39.310> know<01:28:39.430> at<01:28:39.790> that<01:28:40.000> you 01:28:40.080 --> 01:28:40.090 align:start position:0% composability but you know at that you 01:28:40.090 --> 01:28:42.300 align:start position:0% composability but you know at that you know<01:28:40.120> epic<01:28:40.540> like<01:28:40.810> formal<01:28:41.260> proof<01:28:41.530> you<01:28:41.980> know<01:28:42.130> for 01:28:42.300 --> 01:28:42.310 align:start position:0% know epic like formal proof you know for 01:28:42.310 --> 01:28:44.100 align:start position:0% know epic like formal proof you know for all<01:28:42.400> they<01:28:42.550> are<01:28:42.670> to<01:28:42.790> model<01:28:43.240> is<01:28:43.570> we<01:28:43.780> need<01:28:43.930> to<01:28:43.990> have 01:28:44.100 --> 01:28:44.110 align:start position:0% all they are to model is we need to have 01:28:44.110 --> 01:28:45.890 align:start position:0% all they are to model is we need to have that<01:28:44.290> we<01:28:44.680> need<01:28:44.770> to<01:28:44.830> have<01:28:44.920> a<01:28:44.950> say<01:28:45.130> you<01:28:45.550> know<01:28:45.700> a 01:28:45.890 --> 01:28:45.900 align:start position:0% that we need to have a say you know a 01:28:45.900 --> 01:28:48.780 align:start position:0% that we need to have a say you know a distributed<01:28:46.900> system<01:28:47.230> like<01:28:48.100> thank<01:28:48.400> many<01:28:48.550> many 01:28:48.780 --> 01:28:48.790 align:start position:0% distributed system like thank many many 01:28:48.790 --> 01:28:50.850 align:start position:0% distributed system like thank many many people<01:28:49.120> public<01:28:49.750> shared<01:28:50.020> information<01:28:50.260> what 01:28:50.850 --> 01:28:50.860 align:start position:0% people public shared information what 01:28:50.860 --> 01:28:52.680 align:start position:0% people public shared information what what<01:28:51.130> has<01:28:51.250> been<01:28:51.370> published<01:28:51.550> shared<01:28:51.970> to<01:28:52.240> anyone 01:28:52.680 --> 01:28:52.690 align:start position:0% what has been published shared to anyone 01:28:52.690 --> 01:28:54.510 align:start position:0% what has been published shared to anyone was<01:28:52.870> been<01:28:53.050> publishers<01:28:53.470> only<01:28:53.740> some<01:28:53.950> people<01:28:54.070> and 01:28:54.510 --> 01:28:54.520 align:start position:0% was been publishers only some people and 01:28:54.520 --> 01:28:56.190 align:start position:0% was been publishers only some people and when<01:28:54.760> it's<01:28:54.880> not<01:28:54.970> the<01:28:55.120> publisher<01:28:55.570> aka<01:28:55.990> is 01:28:56.190 --> 01:28:56.200 align:start position:0% when it's not the publisher aka is 01:28:56.200 --> 01:28:57.990 align:start position:0% when it's not the publisher aka is private<01:28:56.710> right<01:28:57.040> so<01:28:57.190> absolutely<01:28:57.760> this<01:28:57.940> is 01:28:57.990 --> 01:28:58.000 align:start position:0% private right so absolutely this is 01:28:58.000 --> 01:29:00.120 align:start position:0% private right so absolutely this is lonely<01:28:58.330> and<01:28:58.600> if<01:28:58.960> you<01:28:59.050> think<01:28:59.560> you<01:28:59.650> know<01:28:59.800> it<01:28:59.950> or 01:29:00.120 --> 01:29:00.130 align:start position:0% lonely and if you think you know it or 01:29:00.130 --> 01:29:01.230 align:start position:0% lonely and if you think you know it or know<01:29:00.340> a<01:29:00.370> good<01:29:00.580> way<01:29:00.700> to<01:29:00.760> do<01:29:00.880> it<01:29:00.910> or<01:29:01.120> how 01:29:01.230 --> 01:29:01.240 align:start position:0% know a good way to do it or how 01:29:01.240 --> 01:29:06.830 align:start position:0% know a good way to do it or how something<01:29:01.510> knows<01:29:01.810> gonna<01:29:02.020> do<01:29:02.230> it<01:29:02.290> come<01:29:02.650> find 01:29:06.830 --> 01:29:06.840 align:start position:0% 01:29:06.840 --> 01:29:09.240 align:start position:0% you 01:29:09.240 --> 01:29:09.250 align:start position:0% you 01:29:09.250 --> 01:29:12.510 align:start position:0% you ah<01:29:09.280> what<01:29:10.270> is<01:29:10.360> it<01:29:10.450> useful<01:29:10.600> for<01:29:10.780> so-and-so<01:29:11.620> as<01:29:12.310> we 01:29:12.510 --> 01:29:12.520 align:start position:0% ah what is it useful for so-and-so as we 01:29:12.520 --> 01:29:14.460 align:start position:0% ah what is it useful for so-and-so as we have<01:29:12.670> exactly<01:29:13.420> one<01:29:13.780> minute<01:29:13.900> to<01:29:14.110> go 01:29:14.460 --> 01:29:14.470 align:start position:0% have exactly one minute to go 01:29:14.470 --> 01:29:17.070 align:start position:0% have exactly one minute to go what<01:29:14.710> is<01:29:14.800> it<01:29:14.890> useful<01:29:15.070> for<01:29:15.580> well<01:29:15.910> here<01:29:16.750> is<01:29:16.990> a 01:29:17.070 --> 01:29:17.080 align:start position:0% what is it useful for well here is a 01:29:17.080 --> 01:29:19.650 align:start position:0% what is it useful for well here is a state<01:29:17.410> channel<01:29:17.770> so<01:29:18.700> the<01:29:19.150> thing<01:29:19.360> that<01:29:19.540> we've 01:29:19.650 --> 01:29:19.660 align:start position:0% state channel so the thing that we've 01:29:19.660 --> 01:29:21.600 align:start position:0% state channel so the thing that we've been<01:29:19.750> doing<01:29:19.870> all<01:29:20.230> along<01:29:20.260> to<01:29:20.890> come<01:29:21.130> upon<01:29:21.370> state 01:29:21.600 --> 01:29:21.610 align:start position:0% been doing all along to come upon state 01:29:21.610 --> 01:29:22.680 align:start position:0% been doing all along to come upon state channels<01:29:22.000> and<01:29:22.120> we've<01:29:22.210> thought<01:29:22.390> of<01:29:22.540> as<01:29:22.660> a 01:29:22.680 --> 01:29:22.690 align:start position:0% channels and we've thought of as a 01:29:22.690 --> 01:29:24.840 align:start position:0% channels and we've thought of as a unique<01:29:23.020> thing<01:29:23.260> is<01:29:23.590> actually<01:29:24.250> simply<01:29:24.640> this 01:29:24.840 --> 01:29:24.850 align:start position:0% unique thing is actually simply this 01:29:24.850 --> 01:29:27.480 align:start position:0% unique thing is actually simply this expression<01:29:25.090> okay<01:29:25.990> so<01:29:26.800> this<01:29:26.890> is<01:29:27.040> a<01:29:27.100> pre-image 01:29:27.480 --> 01:29:27.490 align:start position:0% expression okay so this is a pre-image 01:29:27.490 --> 01:29:29.280 align:start position:0% expression okay so this is a pre-image reveal<01:29:27.790> stage<01:29:28.060> channel<01:29:28.390> so<01:29:28.750> we<01:29:28.840> imagine<01:29:29.200> that 01:29:29.280 --> 01:29:29.290 align:start position:0% reveal stage channel so we imagine that 01:29:29.290 --> 01:29:30.960 align:start position:0% reveal stage channel so we imagine that there's<01:29:29.440> a<01:29:29.530> set<01:29:29.710> of<01:29:29.800> hashes<01:29:30.190> which<01:29:30.700> are<01:29:30.850> all 01:29:30.960 --> 01:29:30.970 align:start position:0% there's a set of hashes which are all 01:29:30.970 --> 01:29:32.730 align:start position:0% there's a set of hashes which are all secret<01:29:31.360> to<01:29:31.540> the<01:29:31.690> opponent<01:29:32.410> in<01:29:32.470> the<01:29:32.530> beginning 01:29:32.730 --> 01:29:32.740 align:start position:0% secret to the opponent in the beginning 01:29:32.740 --> 01:29:34.980 align:start position:0% secret to the opponent in the beginning and<01:29:32.980> as<01:29:33.490> we<01:29:33.610> progress<01:29:33.790> to<01:29:33.970> your<01:29:34.090> worlds<01:29:34.630> we 01:29:34.980 --> 01:29:34.990 align:start position:0% and as we progress to your worlds we 01:29:34.990 --> 01:29:37.470 align:start position:0% and as we progress to your worlds we selectively<01:29:35.530> revealed<01:29:36.100> each<01:29:36.250> patch<01:29:36.520> and<01:29:37.270> by 01:29:37.470 --> 01:29:37.480 align:start position:0% selectively revealed each patch and by 01:29:37.480 --> 01:29:40.800 align:start position:0% selectively revealed each patch and by associated<01:29:38.290> a<01:29:38.560> game<01:29:38.890> of<01:29:39.130> the<01:29:39.250> form<01:29:39.490> channel<01:29:39.910> s2 01:29:40.800 --> 01:29:40.810 align:start position:0% associated a game of the form channel s2 01:29:40.810 --> 01:29:42.780 align:start position:0% associated a game of the form channel s2 a<01:29:40.840> payout<01:29:41.140> of<01:29:41.290> the<01:29:41.500> form<01:29:41.710> s<01:29:41.920> so<01:29:42.340> that<01:29:42.460> we<01:29:42.550> pay 01:29:42.780 --> 01:29:42.790 align:start position:0% a payout of the form s so that we pay 01:29:42.790 --> 01:29:45.570 align:start position:0% a payout of the form s so that we pay say<01:29:43.330> s<01:29:43.600> coins<01:29:44.020> out<01:29:44.260> to<01:29:44.620> someone<01:29:44.920> we<01:29:45.430> can 01:29:45.570 --> 01:29:45.580 align:start position:0% say s coins out to someone we can 01:29:45.580 --> 01:29:47.490 align:start position:0% say s coins out to someone we can actually<01:29:45.820> associate<01:29:46.480> money<01:29:46.780> with<01:29:47.080> this<01:29:47.230> game 01:29:47.490 --> 01:29:47.500 align:start position:0% actually associate money with this game 01:29:47.500 --> 01:29:50.010 align:start position:0% actually associate money with this game and<01:29:47.680> by<01:29:48.430> selectively<01:29:49.180> revealing<01:29:49.690> these<01:29:49.810> three 01:29:50.010 --> 01:29:50.020 align:start position:0% and by selectively revealing these three 01:29:50.020 --> 01:29:52.410 align:start position:0% and by selectively revealing these three images<01:29:50.200> we<01:29:50.920> selected<01:29:51.490> they're<01:29:51.640> paid<01:29:51.910> at<01:29:52.180> one 01:29:52.410 --> 01:29:52.420 align:start position:0% images we selected they're paid at one 01:29:52.420 --> 01:29:53.670 align:start position:0% images we selected they're paid at one collector<01:29:52.840> nomination<01:29:53.320> through<01:29:53.560> the 01:29:53.670 --> 01:29:53.680 align:start position:0% collector nomination through the 01:29:53.680 --> 01:29:55.500 align:start position:0% collector nomination through the planning<01:29:54.040> so<01:29:54.400> that's<01:29:54.580> a<01:29:54.670> state<01:29:54.850> journal<01:29:55.030> okay 01:29:55.500 --> 01:29:55.510 align:start position:0% planning so that's a state journal okay 01:29:55.510 --> 01:29:57.870 align:start position:0% planning so that's a state journal okay we<01:29:56.470> can<01:29:56.590> also<01:29:56.710> do<01:29:56.950> certain<01:29:57.160> or<01:29:57.430> aetherium 01:29:57.870 --> 01:29:57.880 align:start position:0% we can also do certain or aetherium 01:29:57.880 --> 01:29:59.340 align:start position:0% we can also do certain or aetherium style<01:29:58.150> change<01:29:58.480> you<01:29:58.600> know<01:29:58.690> so<01:29:58.870> here's<01:29:59.230> our 01:29:59.340 --> 01:29:59.350 align:start position:0% style change you know so here's our 01:29:59.350 --> 01:30:01.320 align:start position:0% style change you know so here's our multi<01:29:59.710> sync<01:29:59.950> that<01:30:00.100> we<01:30:00.220> had<01:30:00.340> before<01:30:00.700> there's<01:30:01.150> a 01:30:01.320 --> 01:30:01.330 align:start position:0% multi sync that we had before there's a 01:30:01.330 --> 01:30:04.650 align:start position:0% multi sync that we had before there's a multi<01:30:01.600> sing<01:30:02.190> as<01:30:03.190> I'm<01:30:03.400> the<01:30:03.970> day<01:30:04.120> before<01:30:04.270> in<01:30:04.600> a 01:30:04.650 --> 01:30:04.660 align:start position:0% multi sing as I'm the day before in a 01:30:04.660 --> 01:30:06.480 align:start position:0% multi sing as I'm the day before in a theory<01:30:04.870> of<01:30:04.930> style<01:30:05.170> channel<01:30:05.470> as<01:30:05.770> I<01:30:05.920> claim<01:30:06.190> for 01:30:06.480 --> 01:30:06.490 align:start position:0% theory of style channel as I claim for 01:30:06.490 --> 01:30:09.060 align:start position:0% theory of style channel as I claim for this<01:30:06.610> day<01:30:06.820> there<01:30:07.330> exists<01:30:07.660> some<01:30:07.780> obesity<01:30:08.260> and 01:30:09.060 --> 01:30:09.070 align:start position:0% this day there exists some obesity and 01:30:09.070 --> 01:30:10.770 align:start position:0% this day there exists some obesity and fourtner's<01:30:09.760> does<01:30:09.940> not<01:30:10.180> exist<01:30:10.510> the<01:30:10.600> higher 01:30:10.770 --> 01:30:10.780 align:start position:0% fourtner's does not exist the higher 01:30:10.780 --> 01:30:13.170 align:start position:0% fourtner's does not exist the higher snake<01:30:11.140> such<01:30:11.680> that<01:30:11.890> there's<01:30:12.220> an<01:30:12.370> officer<01:30:12.760> and 01:30:13.170 --> 01:30:13.180 align:start position:0% snake such that there's an officer and 01:30:13.180 --> 01:30:15.180 align:start position:0% snake such that there's an officer and the<01:30:13.480> state<01:30:13.690> is<01:30:13.900> indeed<01:30:14.410> higher<01:30:14.620> with<01:30:14.950> a<01:30:15.040> higher 01:30:15.180 --> 01:30:15.190 align:start position:0% the state is indeed higher with a higher 01:30:15.190 --> 01:30:17.460 align:start position:0% the state is indeed higher with a higher knots<01:30:15.490> right<01:30:15.850> so<01:30:16.270> there's<01:30:16.480> that<01:30:16.720> here's<01:30:17.290> how 01:30:17.460 --> 01:30:17.470 align:start position:0% knots right so there's that here's how 01:30:17.470 --> 01:30:18.360 align:start position:0% knots right so there's that here's how the<01:30:17.530> music<01:30:17.740> roll<01:30:17.980> up 01:30:18.360 --> 01:30:18.370 align:start position:0% the music roll up 01:30:18.370 --> 01:30:20.370 align:start position:0% the music roll up do<01:30:18.670> you<01:30:19.030> pick<01:30:19.270> that<01:30:19.480> exchange<01:30:19.960> but<01:30:20.170> just 01:30:20.370 --> 01:30:20.380 align:start position:0% do you pick that exchange but just 01:30:20.380 --> 01:30:22.710 align:start position:0% do you pick that exchange but just remember<01:30:20.920> this<01:30:21.130> this<01:30:21.640> is<01:30:21.820> a<01:30:21.850> roll<01:30:22.180> of<01:30:22.360> chain 01:30:22.710 --> 01:30:22.720 align:start position:0% remember this this is a roll of chain 01:30:22.720 --> 01:30:25.200 align:start position:0% remember this this is a roll of chain computability<01:30:23.620> model<01:30:24.340> of<01:30:24.460> care<01:30:24.610> for<01:30:24.910> roll<01:30:25.090> ups 01:30:25.200 --> 01:30:25.210 align:start position:0% computability model of care for roll ups 01:30:25.210 --> 01:30:27.300 align:start position:0% computability model of care for roll ups are<01:30:25.360> really<01:30:25.540> nice<01:30:25.750> is<01:30:26.230> that<01:30:26.290> it<01:30:26.650> is<01:30:26.800> a<01:30:27.070> chain 01:30:27.300 --> 01:30:27.310 align:start position:0% are really nice is that it is a chain 01:30:27.310 --> 01:30:29.040 align:start position:0% are really nice is that it is a chain always<01:30:27.550> makes<01:30:27.850> data<01:30:28.060> available<01:30:28.600> so<01:30:28.960> the 01:30:29.040 --> 01:30:29.050 align:start position:0% always makes data available so the 01:30:29.050 --> 01:30:30.570 align:start position:0% always makes data available so the computability<01:30:29.440> ball<01:30:29.740> is<01:30:29.830> much<01:30:30.040> easier<01:30:30.400> for 01:30:30.570 --> 01:30:30.580 align:start position:0% computability ball is much easier for 01:30:30.580 --> 01:30:31.980 align:start position:0% computability ball is much easier for any<01:30:30.730> information<01:30:30.940> that's<01:30:31.270> on<01:30:31.450> the<01:30:31.600> main<01:30:31.750> chain 01:30:31.980 --> 01:30:31.990 align:start position:0% any information that's on the main chain 01:30:31.990 --> 01:30:33.870 align:start position:0% any information that's on the main chain because<01:30:32.380> it's<01:30:32.470> always<01:30:32.710> no<01:30:33.040> it<01:30:33.310> can't<01:30:33.580> be<01:30:33.670> in 01:30:33.870 --> 01:30:33.880 align:start position:0% because it's always no it can't be in 01:30:33.880 --> 01:30:35.760 align:start position:0% because it's always no it can't be in this<01:30:34.330> very<01:30:34.600> great<01:30:34.750> property<01:30:35.140> and<01:30:35.410> make<01:30:35.620> sure 01:30:35.760 --> 01:30:35.770 align:start position:0% this very great property and make sure 01:30:35.770 --> 01:30:37.140 align:start position:0% this very great property and make sure it<01:30:35.860> very<01:30:36.160> very<01:30:36.400> very<01:30:36.550> simple 01:30:37.140 --> 01:30:37.150 align:start position:0% it very very very simple 01:30:37.150 --> 01:30:39.990 align:start position:0% it very very very simple graceful<01:30:37.870> elegant<01:30:38.590> distress<01:30:38.950> of<01:30:39.370> an<01:30:39.550> elegant 01:30:39.990 --> 01:30:40.000 align:start position:0% graceful elegant distress of an elegant 01:30:40.000 --> 01:30:41.870 align:start position:0% graceful elegant distress of an elegant thing<01:30:40.150> because<01:30:40.540> it's<01:30:40.690> nice<01:30:40.870> to<01:30:40.960> learn 01:30:41.870 --> 01:30:41.880 align:start position:0% thing because it's nice to learn 01:30:41.880 --> 01:30:45.080 align:start position:0% thing because it's nice to learn lastly<01:30:42.330> it's<01:30:42.719> plasma<01:30:43.260> which<01:30:43.440> is<01:30:43.469> God<01:30:44.280> awfully 01:30:45.080 --> 01:30:45.090 align:start position:0% lastly it's plasma which is God awfully 01:30:45.090 --> 01:30:46.760 align:start position:0% lastly it's plasma which is God awfully complicated<01:30:45.540> expression<01:30:46.050> somebody<01:30:46.440> and<01:30:46.650> it's 01:30:46.760 --> 01:30:46.770 align:start position:0% complicated expression somebody and it's 01:30:46.770 --> 01:30:48.439 align:start position:0% complicated expression somebody and it's the<01:30:46.890> simplest<01:30:47.310> possible<01:30:47.580> construction<01:30:48.150> I 01:30:48.439 --> 01:30:48.449 align:start position:0% the simplest possible construction I 01:30:48.449 --> 01:30:49.939 align:start position:0% the simplest possible construction I think<01:30:48.630> about<01:30:48.810> them<01:30:48.960> but<01:30:49.380> I<01:30:49.440> can<01:30:49.620> tell<01:30:49.770> you<01:30:49.830> the 01:30:49.939 --> 01:30:49.949 align:start position:0% think about them but I can tell you the 01:30:49.949 --> 01:30:51.919 align:start position:0% think about them but I can tell you the distant<01:30:50.280> deep<01:30:50.429> works<01:30:50.670> is<01:30:51.210> we<01:30:51.570> got<01:30:51.719> a<01:30:51.750> paper 01:30:51.919 --> 01:30:51.929 align:start position:0% distant deep works is we got a paper 01:30:51.929 --> 01:30:53.660 align:start position:0% distant deep works is we got a paper that<01:30:52.199> talks<01:30:52.409> more<01:30:52.679> about<01:30:52.739> opposition<01:30:53.489> money 01:30:53.660 --> 01:30:53.670 align:start position:0% that talks more about opposition money 01:30:53.670 --> 01:30:55.910 align:start position:0% that talks more about opposition money with<01:30:53.850> this<01:30:53.940> Allah<01:30:54.600> we<01:30:54.960> got<01:30:55.080> to<01:30:55.170> go<01:30:55.320> thank<01:30:55.860> you 01:30:55.910 --> 01:30:55.920 align:start position:0% with this Allah we got to go thank you 01:30:55.920 --> 01:30:59.590 align:start position:0% with this Allah we got to go thank you very<01:30:55.949> much 01:30:59.590 --> 01:30:59.600 align:start position:0% 01:30:59.600 --> 01:31:05.609 align:start position:0% [Applause]