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🔥 Top post: A piece of code (a quotient inductive type) in https://arxiv.or · 5 likes + reposts
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A piece of code (a quotient inductive type) in
https://arxiv.org/abs/2502.20496
can be written in Aya. Note that the one-linear function `paint` and `strip` are mutually-recursive with `RBTree`.
@jesper In definitional proof-irrelevance without K, how did you setup this beautiful Rocq code syntax highlighting?
If A is subtype of A', let a : A, and define f : A' := a, should f : A hold judgmentally?
How would you implement this?
(subtyping can show up if you have subtyping-based cumulative universe)
Face distinction!
In cooltt, the implementation of partial elements (eg terms restricted by a "face") uses the technique of phase distinctions.
When faces were introduced in CCHM, they were called the "face lattice", while phases clearly f…
Do all of these hold in Agda/Lean? Sorry not so sure how to quickly code up some tests, but maybe some experts can tell me the answer without even testing it
Has anyone written any papers on the type theory of type class instance resolution? I know Lean tabled paper talking about the instance search, but how about its integration into the elaboration process, something like a contextual modal t…
https://www.aya-prover.org/blog/anf-ir.html
ANF IR allows us to have cool tailrec optimizations
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