Agda
sorbet
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Agda | sorbet | |
---|---|---|
27 | 53 | |
2,371 | 3,521 | |
1.5% | 0.4% | |
9.8 | 9.9 | |
2 days ago | 7 days ago | |
Haskell | Ruby | |
MIT License | Apache License 2.0 |
Stars - the number of stars that a project has on GitHub. Growth - month over month growth in stars.
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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Types versus sets (and what about categories?)
This was recently deemed inappropriate:
"Bye bye Set"
"Set and Prop are removed as keywords"
https://github.com/agda/agda/pull/4629
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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?
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Functional Programming and Maths <|> How can a code monkey learn Agda?
That's absolutely untrue. From the horse's mouth:
- Doom emacs and agda-mode
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FP language idea - would this is possible to infer and type check?
Agda has the so-called mixfix operators (which are powerful enough to cover pre/in/postfix cases with an arbitrary number of arguments), check that out: - https://agda.readthedocs.io/en/v2.6.1/language/mixfix-operators.html - https://github.com/agda/agda/blob/master/examples/Introduction/Operators.agda - https://github.com/agda/agda-stdlib/blob/master/src/Data/Product/Base.agda
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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.
sorbet
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The Design Principles of the Elixir Type System
Not part of the official language spec, but Ruby has Sorbet, from a company who employs Ruby core contributors and helped with the recently released JIT additions to the language, amount countless other contributions over the last couple decades.
https://sorbet.org/
- Почему я программирую на Ruby
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Bringing more sweetness to ruby with sorbet types 🍦
First let's introduce the tool: Sorbet is a gem developed by Stripe that aims to bring type notation syntax and type checking support for the Ruby ecosystem by utilizing the "Gradual typing" philosophy, it also provide type generation from YARD comments via the tapioca gem, allowing to grow alongside the already built Ruby codebase.
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An Introduction to Metaprogramming in Ruby
We have hundreds of thousands of lines of ruby code spanning many services / monoliths. Even now I find it somewhat annoying to open a controller / component that is basically an empty class def but somehow executes a bunch of complex stuff via mixins, monkey patches etc, and you have to figure out how.
We are turning to https://sorbet.org/ to reign in the madness. I'm keen to know if others are doing the same, and how they are finding it (pros and cons)
- A few words on Ruby's type annotations state
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Is Ruby on Rails still in demand?I see very few companies using it.Is it used in big tech companies like Google,Amazon,Facebook,Microsoft?
According to https://sorbet.org/ , the vast majority of code at Stripe is written in ruby.
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¿Que lenguaje de programación consideran que no está saturado?
Caso de Stripe, que tuvo que inventar Sorbet para tener type checking en ruby.
- Building GitHub with Ruby on Rails
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RJIT a New JIT for Ruby
> I guess what I'm asking is: do you see a future where there is more explicit control afforded to people who want to pick their own tradeoffs without resorting to writing everything performance-sensitive in extensions written in C/Rust/whatever?
An approach exists already in the present, and it's Stripe's Sorbet AOT compiler (https://github.com/sorbet/sorbet/tree/master/compiler).
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Has Ruby actually increased the speed significantly?
That's incorrect. You may be thinking of Stripe, and AFAICT it's not very actively developed anymore: https://github.com/sorbet/sorbet/commits/master/compiler
What are some alternatives?
lean - Lean Theorem Prover
solargraph - A Ruby language server.
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.
vscode-solargraph - A Visual Studio Code extension for Solargraph.
open-typerep - Open type representations and dynamic types
rbs - Type Signature for Ruby
HoleyMonoid - Automatically exported from code.google.com/p/monoid-cont
rubocop - A Ruby static code analyzer and formatter, based on the community Ruby style guide.
distributive - Dual Traversable
noclip.website - A digital museum of video game levels
lean4 - Lean 4 programming language and theorem prover
tapioca - The swiss army knife of RBI generation