representablefunctors
Agda
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representablefunctors  Agda  

0  11  
9  1,904  
  2.7%  
0.0  9.5  
almost 9 years ago  3 days ago  
Haskell  Haskell  
BSD 3clause "New" or "Revised" License  LicenseRefOtherLicense 
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representablefunctors
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Tracking mentions began in Dec 2020.
Agda

Do you feel static types have "won the war", so to speak?
At the most extreme level, you disappear into a meditative solitary retreat for a couple of years to seek enlightenment, and when you emerge you're no longer a programmer who writes programs, you're a theorist who proves theorems in Agda, and you have transcended above things that are tainted by the inherent evil of the material plane like "side effects" and "business needs" and "delivery timelines" and "could you stop doing that fancy math crap and just change the button's color like I asked for".

Can I write Agda using only ASCII characters?
(For example, the standard dependent pair definition Σ, which is defined in Agda's core, does not have any).

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.
What are some alternatives?
lean  Lean Theorem Prover
opentyperep  Open type representations and dynamic types
HoleyMonoid  Automatically exported from code.google.com/p/monoidcont
zig  Generalpurpose programming language and toolchain for maintaining robust, optimal, and reusable software.
miso  :ramen: A tasty Haskell frontend framework
distributive  Dual Traversable
coq  Coq is a formal proof management system. It provides a formal language to write mathematical definitions, executable algorithms and theorems together with an environment for semiinteractive development of machinechecked proofs.
agda.nvim  NeoVim plugin for interacting with Agda written in Lua
agdaplayground
fgl  A Functional Graph Library for Haskell
agdavim  Agda interaction in vim
eliminators  Dependently typed elimination functions using singletons