lean VS CoqGym

Compare lean vs CoqGym and see what are their differences.

CoqGym

A Learning Environment for Theorem Proving with the Coq proof assistant (by princeton-vl)
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lean CoqGym
4 2
1,915 367
- 4.1%
0.0 3.6
over 3 years ago 9 months ago
C++ Coq
Apache License 2.0 GNU Lesser General Public License v3.0 only
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.
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.

lean

Posts with mentions or reviews of lean. We have used some of these posts to build our list of alternatives and similar projects. The last one was on 2021-03-26.
  • How do I get back into math?
    3 projects | /r/math | 26 Mar 2021
    However, mathlib makes some weird design choices. For example, (semi)groups are defined using multiplicative notation -- and then immediately followed by an entire section giving the exact same definitions using additive notation! The claimed reason for this is that the more abstract approach is inconvenient for automation. I did it in Coq using the abstract approach, and indeed, noticed that doing so broke automation, which I then worked around in various ways. But it's just weird to me as a mathematician to have additive and multiplicative groups be different objects, so I wouldn't want to do it the Lean way come hell or high water. The Lean approach causes practical difficulties as well: you have to prove every theorem about groups twice. In some cases (e.g. product groups), you have to prove every theorem FOUR times. Ugh.

CoqGym

Posts with mentions or reviews of CoqGym. We have used some of these posts to build our list of alternatives and similar projects. The last one was on 2023-10-27.

What are some alternatives?

When comparing lean and CoqGym you can also consider the following projects:

Agda - Agda is a dependently typed programming language / interactive theorem prover.

FStar - A Proof-oriented Programming Language

Coq-HoTT - A Coq library for Homotopy Type Theory

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.

arend-lib

ttlite - A SuperCompiler for Martin-Löf's Type Theory

trepplein - Lean type-checker written in Scala.

daisy-nfsd - DaisyNFS is an NFS server verified using Dafny and Perennial.

OEISbot - Automatically posts links to OEIS sequences on Reddit

mathlib - Lean 3's obsolete mathematical components library: please use mathlib4

lean-chat

symmetric_project