Agda
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Agda  opentyperep  

9  0  
1,816  4  
2.0%    
9.6  0.0  
7 days ago  almost 6 years ago  
Haskell  Haskell  
LicenseRefOtherLicense  BSD 3clause "New" or "Revised" License 
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Agda

I solved collatz, but I have no idea how to write a paper.
Learn how to use a formal proof assistant. Coq and Agda are the most popular. Both allow you to write a proof as a program instead of as a paper, and provide various tools for formally checking your proof.

Eli5, What is a proof assistant
Some programming languages are, https://github.com/agda/agda

Today, Thanks to this sub Reddit. I discovered 3 awesome new languages....
If you're looking for stuff pushing the boundaries of PL research, Agda (especially Cubical Agda) might be cool to look at. It's got lots of cutting edge stuff in it, pushing the boundaries of what is currently possible with dependent type theory. It's not the only language out there with cubical features (see also: cooltt), but it's probably one of the more fleshedout implementations in terms of being practically useful. The 1Lab makes heavy use of it. There's also Introduction to Univalent Foundations of Mathematics with Agda that might be interesting to look at too!
 Ask HN: What technology is “cutting edge” in 2022?
 Integer overflow causes Russel's paradox

What input method would you prefer for Unicode characters in a neovim plugin?
My best guess is that it has not really been maintained lately, there were only 12 commits in the last 7 years, some of which are just global modifications, which include this file as well: https://github.com/agda/agda/commits/136f85386ec43245745b76f03505bda4f5d1ed3f/src/full/Agda/Interaction/Highlighting/Vim.hs

Type in type and HoTT exercises
Also I would suggest is that you import a paradox (e.g., https://github.com/agda/agda/blob/master/test/Succeed/Hurkens.agda) and see what it actually does when you construct values with it that you evaluate or proofs that you use.

Trouble with Proving Termination without K
Andrea had some code relaxing these restrictions at the last AIM (cf. "trying to make termination checker accept more definitions withoutK, fixing #4527" in the wrapup section) but I don't know if it has been merged into master yet.

Road to 1.0/ Zig
Significant nit: this isn't true. The whole domain of "highassurance software" is about this, with examples such as CompCert and seL4. There are tools like FramaC that support you in proving things about your C; [proof assistants]() that let you extract Haskell, OCaml, or Scheme from proofs so the code is correct by construction; and languages like CakeML, F*, Agda, Idris, ATS... that are both programming languages and proof assistants.
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What are some alternatives?
lean  Lean Theorem Prover
zig  Generalpurpose programming language and toolchain for maintaining robust, optimal, and reusable software.
HoleyMonoid  Automatically exported from code.google.com/p/monoidcont
miso  :ramen: A tasty Haskell frontend framework
distributive  Dual Traversable
agdavim  Agda interaction in vim
Sit  Prototypical type checker for Type Theory with Sized Natural Numbers
permutation  git import of patrick perry permutations lib from darcs
eliminators  Dependently typed elimination functions using singletons
fgl  A Functional Graph Library for Haskell
agdaplayground
helf  Haskell implementation of the Edinburgh Logical Framework