2024/12/24

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2024-12-24 04:35:03 +0100 <ski> (but i'm probably not following the FRP context here that well ..)
2024-12-24 04:34:48 +0100merijn(~merijn@128-137-045-062.dynamic.caiway.nl) (Ping timeout: 252 seconds)
2024-12-24 04:34:44 +0100 <ski> (also not sure if i should interpret `ButtonStates >-> ComponentStates >-> IndexedLayout >-> CurrentViewport >-> (ScreenCoordinates -> Color)' as a sequence/graph with five nodes, the last of which is a function type ?)
2024-12-24 04:34:18 +0100 <ski> (also not sure if i should interpret `ButtonStates >-> ComponentStates >-> IndexedLayout >-> CurrentViewport -> (ScreenCoordinates -> Color)
2024-12-24 04:29:49 +0100merijn(~merijn@128-137-045-062.dynamic.caiway.nl) merijn
2024-12-24 04:28:46 +0100CrunchyFlakes(~CrunchyFl@31.19.233.78)
2024-12-24 04:28:26 +0100 <ski> ("there is nothing that prevents us from duplicating that signal and also sending it forward in the circuit" -- sounds like comonadic preservation of context, if `[] A |- B', then `[] A |- [] B', `Comonad w => (w a -> b) -> (w a -> w b)')
2024-12-24 04:26:18 +0100CrunchyFlakes(~CrunchyFl@ip1f13e94e.dynamic.kabel-deutschland.de) (Read error: Connection reset by peer)
2024-12-24 04:24:58 +0100machinedgod(~machinedg@d108-173-18-100.abhsia.telus.net) machinedgod
2024-12-24 04:24:17 +0100ski. o O ( <https://en.wikipedia.org/wiki/L%C3%B6b's_theorem>,<https://en.wikipedia.org/wiki/Curry%27s_paradox>,<https://en.wikipedia.org/wiki/Provability_logic>,<https://en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_theorems> )
2024-12-24 04:21:06 +0100 <ski> thirdofmay18081814goya ^
2024-12-24 04:21:03 +0100 <ski> er
2024-12-24 04:20:54 +0100 <ski> haskellbridge : hm, but wouldn't `[] Gamma |- Gamma' also hold (if `[]' is a "neccesary"-type modality) (this is not true in provability logic, a modal logic explored by George Boolos in "The Logic of Provability", related to stuff like Gödel's incompleteness theorems, and Löb/Curry's theorem), so how can `[] Gamma' then be weaker than `Gamma' ?
2024-12-24 04:19:10 +0100merijn(~merijn@128-137-045-062.dynamic.caiway.nl) (Ping timeout: 265 seconds)
2024-12-24 04:14:51 +0100dsrt^(~dsrt@c-98-242-74-66.hsd1.ga.comcast.net)
2024-12-24 04:14:24 +0100merijn(~merijn@128-137-045-062.dynamic.caiway.nl) merijn
2024-12-24 04:13:12 +0100_leo___(~emmanuelu@user/emmanuelux) (Quit: au revoir)
2024-12-24 04:08:06 +0100 <haskellbridge> <thirdofmay18081814goya> so your comments were very opportune heheh
2024-12-24 04:07:11 +0100 <haskellbridge> <thirdofmay18081814goya> and this is in fact so: if "CurrentViewport" consumes a signal from "IndexedLayout", there is nothing that prevents us from duplicating that signal and also sending it forward in the circuit
2024-12-24 04:07:04 +0100dsrt^(~dsrt@c-98-242-74-66.hsd1.ga.comcast.net) (Ping timeout: 245 seconds)
2024-12-24 04:04:20 +0100 <haskellbridge> ... "CurrentViewport". we only need their output signal
2024-12-24 04:04:15 +0100 <haskellbridge> <thirdofmay18081814goya> then I worried a bit about whether this was a good implementation or a good network configuration or the unique way to obtain that particular function. but if this function is 100% reactive, then we can correctly infer "[] Gamma |- A", i.e., the reactive semantics of this configuration are not affected by the exact order of the signal functions "ButtonStates", "ComponentStates", "IndexedLayout",...
2024-12-24 04:03:38 +0100merijn(~merijn@128-137-045-062.dynamic.caiway.nl) (Ping timeout: 252 seconds)
2024-12-24 04:02:00 +0100 <haskellbridge> ... CurrentViewport -> (ScreenCoordinates -> Color)"
2024-12-24 04:01:54 +0100 <haskellbridge> <thirdofmay18081814goya> i accidentally stumbled on this while trying to model an frp circuit and realized it has an extremely practical application: i was interested in having my circuit produce an "A" (more specifically, "ScreenCoordinates -> Color"), and realized that it could be constructed from a particular sequence of signals that looked something like "ButtonStates -> ComponentStates -> IndexedLayout ->...
2024-12-24 04:00:57 +0100Feuermagier(~Feuermagi@user/feuermagier) (Quit: Leaving)
2024-12-24 03:59:06 +0100merijn(~merijn@128-137-045-062.dynamic.caiway.nl) merijn
2024-12-24 03:56:27 +0100merijn(~merijn@128-137-045-062.dynamic.caiway.nl) (Ping timeout: 265 seconds)
2024-12-24 03:55:32 +0100Feuermagier(~Feuermagi@user/feuermagier) Feuermagier
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2024-12-24 03:54:31 +0100 <haskellbridge> <thirdofmay18081814goya> but realizes an equivalence relation on (some) permutations of the chains in the partial order given by "Gamma"
2024-12-24 03:53:05 +0100 <haskellbridge> <thirdofmay18081814goya> "[] Gamma" contains significantly less information than "Gamma"
2024-12-24 03:51:29 +0100merijn(~merijn@128-137-045-062.dynamic.caiway.nl) merijn
2024-12-24 03:50:08 +0100 <haskellbridge> <thirdofmay18081814goya> the right statement is, if we interpret "Gamma |- A" holds and we interpret it as: "the sequence-dependent/ordered FRP-circuit "Gamma" propagates to "A"/produces a value of type "A"", then we can infer "[] Gamma |- A", that is, the sequence-independent/unordered total output of "Gamma" is enough to know that "A" will be propagated to/produced
2024-12-24 03:46:02 +0100 <haskellbridge> <thirdofmay18081814goya> it was slightly wrongly formulated
2024-12-24 03:45:40 +0100 <ski> thirdofmay18081814goya : hm, not sure i follow that FRP interpretation
2024-12-24 03:40:59 +0100merijn(~merijn@128-137-045-062.dynamic.caiway.nl) (Ping timeout: 265 seconds)
2024-12-24 03:36:08 +0100emmanuelux_(~emmanuelu@user/emmanuelux) (Ping timeout: 252 seconds)
2024-12-24 03:34:44 +0100weary-traveler(~user@user/user363627) user363627
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