Agda VS lean

Compare Agda vs lean and see what are their differences.

Agda

Agda is a dependently typed programming language / interactive theorem prover. (by agda)
Our great sponsors
  • InfluxDB - Power Real-Time Data Analytics at Scale
  • WorkOS - The modern identity platform for B2B SaaS
  • SaaSHub - Software Alternatives and Reviews
Agda lean
27 4
2,363 1,915
3.1% -
9.8 0.0
about 17 hours ago over 3 years ago
Haskell C++
GNU General Public License v3.0 or later Apache License 2.0
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.

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.

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.

What are some alternatives?

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

FStar - A Proof-oriented Programming Language

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

Coq-HoTT - A Coq library for Homotopy Type Theory

zig - General-purpose programming language and toolchain for maintaining robust, optimal, and reusable software.

distributive - Dual Traversable

agda-vim - Agda interaction in vim

fgl - A Functional Graph Library for Haskell

agda.nvim - NeoVim plugin for interacting with Agda written in Lua

miso - :ramen: A tasty Haskell front-end framework

lean4 - Lean 4 programming language and theorem prover