open-typerep VS Agda

Compare open-typerep vs Agda and see what are their differences.

open-typerep

Open type representations and dynamic types (by emilaxelsson)

Agda

Agda is a dependently typed programming language / interactive theorem prover. (by agda)
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open-typerep Agda
1 27
4 2,403
- 1.3%
0.0 9.8
almost 8 years ago 6 days ago
Haskell Haskell
BSD 3-clause "New" or "Revised" License MIT License
The number of mentions indicates the total number of mentions that we've tracked plus the number of user suggested alternatives.
Stars - the number of stars that a project has on GitHub. Growth - month over month growth in stars.
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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.

open-typerep

Posts with mentions or reviews of open-typerep. We have used some of these posts to build our list of alternatives and similar projects. The last one was on 2022-12-28.

Agda

Posts with mentions or reviews of Agda. We have used some of these posts to build our list of alternatives and similar projects. The last one was on 2023-07-11.
  • Types versus sets (and what about categories?)
    1 project | news.ycombinator.com | 31 Aug 2023
    This was recently deemed inappropriate:

    "Bye bye Set"

    "Set and Prop are removed as keywords"

    https://github.com/agda/agda/pull/4629

  • If given a list of properties/definitions and relationship between them, could a machine come up with (mostly senseless, but) true implications?
    5 projects | /r/math | 11 Jul 2023
    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.
  • What can Category Theory do?
    2 projects | /r/askmath | 22 Jun 2023
    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.
  • What are the current hot topics in type theory and static analysis?
    15 projects | /r/ProgrammingLanguages | 8 May 2023
    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.
  • Amendmend proposal: Changed syntax for Or patterns
    2 projects | /r/haskell | 14 Apr 2023
    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?
  • Functional Programming and Maths <|> How can a code monkey learn Agda?
    1 project | /r/functionalprogramming | 26 Mar 2023
    That's absolutely untrue. From the horse's mouth:
  • Doom emacs and agda-mode
    2 projects | /r/emacs | 22 Mar 2023
  • FP language idea - would this is possible to infer and type check?
    1 project | /r/haskell | 26 Jan 2023
    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
  • Best Programming Language for Computational Proof
    3 projects | /r/math | 21 Jan 2023
    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.
  • Do you use Idris or Coq, and why?
    3 projects | /r/haskell | 16 Nov 2022
    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.

What are some alternatives?

When comparing open-typerep and Agda you can also consider the following projects:

helf - Haskell implementation of the Edinburgh Logical Framework

lean - Lean Theorem Prover

cubical - Implementation of Univalence in Cubical Sets

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.

eliminators - Dependently typed elimination functions using singletons

HoleyMonoid - Automatically exported from code.google.com/p/monoid-cont

agda-snippets - Library and tool to render the snippets in literate Agda files to hyperlinked HTML, leaving the rest of the text untouched.

distributive - Dual Traversable

hoq - A language based on homotopy type theory with an interval

lean4 - Lean 4 programming language and theorem prover

singletons - Fake dependent types in Haskell using singletons

agda-vim - Agda interaction in vim

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