cubicaltt VS write-you-a-haskell

- cubicialtt a programming language based on cubical type theory in which univalence from homotopy type theory isn't an axiom but a theorem

If you’re interested in programming languages specifically, the current state of the art is called Cubical Type Theory. CuTT has lots of flavours and the community hasn’t coalesced around a single design. The paper I personally found easiest to digest was the “ABCFHL” paper, but I’d recommend reading it alongside the original CCHM paper. None of the publications made an ounce of sense to me until after I’d digested Favonia’s YouTube channel, Mortberg’s lecture notes and this other series of lectures from Harper (particularly the final one).

I updated the blog post to include some people in academia who contributed. I've been interacting with Kent Palmer and Sylvester James Gates, Jr. The latter held lectures about the philosophy of mathematics. I've been using work inspired by Vladimir Voevodsky, e.g. cubicaltt (https://github.com/mortberg/cubicaltt), which is also performed by academics.

I highly recommend https://github.com/sdiehl/write-you-a-haskell as it is very developer friendly. It’s not complete, but it really gets the gears turning and will set you up for writing your own Hendley-Milner style type checker.

This is the best resource I know of: http://dev.stephendiehl.com/fun/006\_hindley\_milner.html https://github.com/sdiehl/write-you-a-haskell/blob/master/chapter7/poly_constraints/src/Infer.hs

I feel like Write You A Haskell was set out to introduce some of these foundational concepts in the right order: lambda calculus, to system-f to core - but that's more of a skeleton, right? What about logic? proofs? Is there anything else ... that can all be put together to create a "course" of some sort to master the theoretical concepts that Haskell stands upon?