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2021-03-31 04:24:02 <edwardk> these linear logic proofs are making me go cross-eyed
2021-03-31 04:24:58 <edwardk> https://github.com/ekmett/linear-logic/blob/main/src/Linear/Logic/Functor.hs#L1270
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2021-03-31 04:35:27 <glguy> edwardk, how much of that is blindly following the types, and how much is creative?
2021-03-31 04:35:51 × dbmikus quits (~dbmikus@cpe-76-167-86-219.natsow.res.rr.com) (Ping timeout: 268 seconds)
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2021-03-31 04:37:30 <edwardk> it actually gets difficult at times, but a lot os blind type following
2021-03-31 04:37:38 <edwardk> a little tactic engine would knock these out fast
2021-03-31 04:38:02 <nshepperd2> is this coq but in haskell
2021-03-31 04:40:06 <edwardk> nshepperd2: in https://github.com/ekmett/linear-logic/blob/main/src/Linear/Logic/Internal.hs#L54 i define a 'full' intuitionistic linear logic suite using the limited linear haskell a %1 -> b arrow as half of my arrow, and by attaching involutively the notion of what evidence it takes to refute a given proof.
2021-03-31 04:40:31 <edwardk> then once i have that, and build with and par, which are the missing connectives, its off to the races.
2021-03-31 04:41:05 <edwardk> then i wanted a place to put all my boilerplate proofs, so i started adding bifunctors, monoidal category structure, etc.
2021-03-31 04:41:30 <edwardk> but once i had that it was somewhat disappointing that the proofs couldn't flow back into the arguments for bimap, etc.
2021-03-31 04:41:45 <edwardk> because they were external to the logic program itself.
2021-03-31 04:41:53 <edwardk> but i was able to internalize them too
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2021-03-31 04:43:09 <edwardk> glguy: as for hard parts, i'd say it takes a good deal of creativity to figure out how to plumb apartness information around when you get more complicated proofs involving isos
2021-03-31 04:43:25 <edwardk> using holes is critical to getting anything done

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