Agda
tl
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Agda | tl | |
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27 | 54 | |
2,363 | 1,908 | |
3.3% | 3.2% | |
9.8 | 7.7 | |
1 day ago | about 1 month ago | |
Haskell | Lua | |
GNU General Public License v3.0 or later | MIT License |
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Activity is a relative number indicating how actively a project is being developed. Recent commits have higher weight than older ones.
For example, an activity of 9.0 indicates that a project is amongst the top 10% of the most actively developed projects that we are tracking.
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
tl
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Ravi is a dialect of Lua, with JIT and AOT compilers
it's based off MIR, does it have something to do with https://mlir.llvm.org/ ?
for typed lua, there is another effort https://github.com/teal-language/tl in addition to the mentioned typescript approach: https://github.com/andremm/typedlua
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Lua Criticism Is Unwarranted
I had the pleasure of working with Lua 5.1 back in the late noughties. For me it's replaced Tcl whenever I want something I can configure above a C library. At the time I used it I found it quite nice but I'll also not forget the hours I wasted tracking down nil table corruptions which could have easily been caught by a type checker.
I had some hope that Luau https://luau-lang.org or Teal https://github.com/teal-language/tl would make things better but with the following example
function foo(x: number): string
- Why Fennel?
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Algebraic data types in Lua (Almost) post
I wonder why the author doesn't use Teal [0] - a typed dialect of lua.
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Lua: The Little Language That Could
Check out Teal
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What's the deal with Fennel in Neovim?
There is already https://github.com/teal-language/tl, which is typed Lua. I think fennel exists to serve a different niche-- personally I use it not for any type features; I just like the syntax better, and others may find certain features like the macro system useful.
- Using Lua with C++
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Using other languages
There's also some languages made to compile straight to Lua: - MoonScript is the most popular Lua wrapper - it's built to be more Python-like, featuring indentation-based scopes, function calls without parentheses, lambda syntax, list comprehension, and much more. - Yuescript is a modern update to MoonScript that adds more features (I haven't used it myself, so I'm not entirely sure exactly how it differs from MS). - Teal is a version of Lua that adds static typing for better code standards.
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Bog – small, strongly typed, embeddable language
Have you heard of Teal (https://github.com/teal-language/tl)? It's like typescript for Lua made by Hisham. It also has the concept of declaration files so you can import (and type) existing Lua modules if needed.
Terra and Nelua are both very different in goals than Teal. Teal is literally gradual types integrated into Lua keeping as many of Lua's idioms as possible (to a fault[1]). Terra and Nelua are both very metaprogrammable systems programming languages. Nelua's goals are primarily to soften C's rough edges, comparable to something like Nim.
There's another one you missed in Pallene[2]. But again, it's goal was to optimize the stack sharing involved in using the C API. It also adds types though and maintains Lua idioms as much as possible.
What are some alternatives?
lean - Lean Theorem Prover
luau - A fast, small, safe, gradually typed embeddable scripting language derived from Lua
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.
open-typerep - Open type representations and dynamic types
HoleyMonoid - Automatically exported from code.google.com/p/monoid-cont
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
OpenBBTerminal - Investment Research for Everyone, Everywhere.
miso - :ramen: A tasty Haskell front-end framework
agda.nvim - NeoVim plugin for interacting with Agda written in Lua