Lean lean4

Open-source Lean projects categorized as lean4

Top 6 Lean lean4 Projects

  • lean4

    Lean 4 programming language and theorem prover

  • Project mention: AI Will Become Mathematicians' 'Co-Pilot' | news.ycombinator.com | 2024-06-12
  • InfluxDB

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  • mathlib4

    The math library of Lean 4

  • Project mention: A Linear Algebra Trick for Computing Fibonacci Numbers Fast | news.ycombinator.com | 2023-11-06

    We essentially implemented this matrix version in Lean/mathlib to both compute the fibonacci number and generate an efficient proof for the calculation.

    https://github.com/leanprover-community/mathlib4/blob/master...

    In practice this isn't very useful (the definition of Nat.fib unfolds quick enough and concrete large fibonacci numbers don't often appear in proofs) but still it shaves a bit of time off the calculation and the proof verification.

  • batteries

    The "batteries included" extended library for the Lean programming language and theorem prover (by leanprover-community)

  • Project mention: The Mechanics of Proof | news.ycombinator.com | 2024-03-20
  • lean4-raytracer

    A simple raytracer written in Lean 4

  • con-nf

    A formal consistency proof of Quine's set theory New Foundations

  • Project mention: New Foundations is consistent – a difficult mathematical proof proved using Lean | news.ycombinator.com | 2024-04-23

    But like, you can look at what parts of Mathlib this development imports, it's mainly stuff imported by files in this subdirectory https://github.com/leanprover-community/con-nf/tree/main/Con... , and it's pretty basic things: the definition of a permutation, a cardinal number etc. Almost all of these are things that would feature in the first one or two years of an undergraduate math degree (from just quickly scanning it, the most advanced thing I could see is the definition of cofinality of ordinals). It seems practically impossible to me that someone would make a mistake when e.g. defining what a group is, in a way subtle enough to later break this advanced theorem. If you think that people could mess up that, then all of math would be in doubt.

NOTE: The open source projects on this list are ordered by number of github stars. The number of mentions indicates repo mentiontions in the last 12 Months or since we started tracking (Dec 2020).

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Lean lean4 related posts

  • The Fermat's Last Theorem Project

    2 projects | news.ycombinator.com | 1 May 2024
  • Dafny is a verification-aware programming language

    4 projects | news.ycombinator.com | 23 Apr 2024
  • New Foundations is consistent – a difficult mathematical proof proved using Lean

    5 projects | news.ycombinator.com | 23 Apr 2024
  • The Mechanics of Proof

    2 projects | news.ycombinator.com | 20 Mar 2024
  • Natural Deduction in Logic (2015)

    1 project | news.ycombinator.com | 11 Jan 2024
  • The Wizardry Frontier

    2 projects | /r/rust | 10 Dec 2023
  • A Linguagem Lua completa 30 anos!

    3 projects | dev.to | 17 Oct 2023
  • A note from our sponsor - InfluxDB
    www.influxdata.com | 19 Jun 2024
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Index

What are some of the best open-source lean4 projects in Lean? This list will help you:

Project Stars
1 lean4 3,951
2 mathlib4 1,119
3 batteries 216
4 lean4-metaprogramming-book 203
5 lean4-raytracer 116
6 con-nf 56

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