Agda
miso
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Agda | miso | |
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27 | 18 | |
2,363 | 2,128 | |
3.3% | - | |
9.8 | 6.0 | |
1 day ago | 8 days ago | |
Haskell | Haskell | |
GNU General Public License v3.0 or later | BSD 3-clause "New" or "Revised" License |
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Agda
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If given a list of properties/definitions and relationship between them, could a machine come up with (mostly senseless, but) true implications?
Still, there are many useful tools based on these ideas, used by programmers and mathematicians alike. What you describe sounds rather like Datalog (e.g. Soufflé Datalog), where you supply some rules and an initial fact, and the system repeatedly expands out the set of facts until nothing new can be derived. (This has to be finite, if you want to get anywhere.) In Prolog (e.g. SWI Prolog) you also supply a set of rules and facts, but instead of a fact as your starting point, you give a query containing some unknown variables, and the system tries to find an assignment of the variables that proves the query. And finally there is a rich array of theorem provers and proof assistants such as Agda, Coq, Lean, and Twelf, which can all be used to help check your reasoning or explore new ideas.
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What can Category Theory do?
Haskell and Agda are probably the most obvious examples. Ocaml too, but it is much older, so its type system is not as categorical. There is also Idris, which is not as well-known but is very cool.
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What are the current hot topics in type theory and static analysis?
Most of the proof assistants out there: Lean, Coq, Dafny, Isabelle, F*, Idris 2, and Agda. And the main concepts are dependent types, Homotopy Type Theory AKA HoTT, and Category Theory. Warning: HoTT and Category Theory are really dense, you're going to really need to research them.
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Amendmend proposal: Changed syntax for Or patterns
Does this come with plans to separately unify the body with each of the contexts induced by matching on each of the respective patterns (similar to what’s discussed here), or will it behave like the _ pattern and use only the most general context?
- Doom emacs and agda-mode
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Best Programming Language for Computational Proof
Coq, Agda, Lean, Isabelle, and probably some others which are not coming to my mind at the moment, but those would be considered the major ones.
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Do you use Idris or Coq, and why?
Funny that you say this, because there are some obvious long standing open feature requests with looking up the type of the term under cursor — № 4295 and № 516. I am not blaming anyone in particular — this is the way it is. I wish I could find time to rewrite the proof search engine (how hard can it be), but I am already buried under a pile of other commitments and a good chunk of overwhelming sadness.
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Haskell is the greatest programming language of all time ... the rational adult in a room full of children ... When I program in Haskell, I am in utopia. I am in a different world than 99.9% of what I see posted on Reddit.
"Haskal is a mess, that's why I use a language that's written with Haskal."
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The comment with the most upvotes decides what language I write my finals in this year will be.
Do it in Agda.
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Wren is a small, fast, class-based concurrent scripting language
Agda is fun[1]. And there's also Idris[2] - more programming language, less proof assistant.
[1] https://wiki.portal.chalmers.se/agda/pmwiki.php https://github.com/agda/agda
miso
- haskell todo list app (beginner)
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jsaddle + firefox
Patching jsaddle by applying this commit made JSaddle usable in Firefox for me, but it has the downside that preventDefault/stopPropagation no longer work (see this issue for more info).
- Resurrection/modernization of an old Haskell+Haste project (boardgame Yinsh)
- School of Haskell: Basics
- JavaScript Hydration Is a Workaround, Not a Solution
- Web development in Haskell
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The Big List of Haskell GUI Libraries
Miso does support jsaddle, docs mention this under the "Live reload with jsaddle" section, although it could be more prominent.
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A small benchmark for functional languages targeting web browsers
For those interested in DOM-related benchmarks using GHCJS. Miso has some benchmarks here: https://krausest.github.io/js-framework-benchmark/current.html (Ctrl+F `miso`)
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Options for a frontend of demo for a toy app
ghcjs is the way to go for you, and soon it might be asterius. i do not know how hard it is to set ghcjs up without a framework. but frameworks like obelisk (based on reflex-dom), shpadoinkle, and miso automate that for. i personally like obelisk for its functional reactive programming but it can get awkward and get in your way. so if gui programming is just a means to the end of this one small application and you are not really interested in it nor functional reactive programming, shpadoinkle or miso might suit you better. miso implements the elm architecture (also "TEA", "functional model view controller") and shpadoinkle implements something directly equivalent to the elm architecture. but shpadoinkle achieves more composable widgets by minimalizing the elm architecture. so i recommend shpadoinkle for its better concept although miso is more mature.
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How do you deal with GUI?
via ghcjs (miso, etc.)
What are some alternatives?
lean - Lean Theorem Prover
ihp - 🔥 The fastest way to build type safe web apps. IHP is a new batteries-included web framework optimized for longterm productivity and programmer happiness
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 semi-interactive development of machine-checked proofs.
graphite - Haskell graphs and networks library
open-typerep - Open type representations and dynamic types
HoleyMonoid - Automatically exported from code.google.com/p/monoid-cont
hevm - Dapp, Seth, Hevm, and more
zig - General-purpose programming language and toolchain for maintaining robust, optimal, and reusable software.
agda-vim - Agda interaction in vim
distributive - Dual Traversable
fgl - A Functional Graph Library for Haskell
adjunctions - Simple adjunctions