mathlib4 VS turing

Compare mathlib4 vs turing and see what are their differences.

mathlib4

The math library of Lean 4 (by leanprover-community)

turing

A reference implementation of Alan Turing's 1936 paper, On Computable Numbers (by planetlambert)
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mathlib4 turing
10 2
889 37
23.7% -
10.0 8.4
2 days ago 5 months ago
Lean Go
Apache License 2.0 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.
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.

mathlib4

Posts with mentions or reviews of mathlib4. We have used some of these posts to build our list of alternatives and similar projects. The last one was on 2023-11-06.
  • A Linear Algebra Trick for Computing Fibonacci Numbers Fast
    3 projects | news.ycombinator.com | 6 Nov 2023
    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.

  • Show HN: The first complete open source implementation of Turing's famous paper
    2 projects | news.ycombinator.com | 17 Sep 2023
    As an aside, there are a number of Turing machines defined in Lean's mathlib. https://github.com/leanprover-community/mathlib4/blob/2c3ee3...
  • Lean 4.0.0, first official lean4 release
    10 projects | news.ycombinator.com | 7 Sep 2023
    Thanks,

    and there is Subobject, which looks like the subobject classifier.

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

  • Are There People Doing Formal Math In Berlin?
    3 projects | /r/berlinsocialclub | 13 Jun 2023
    I just wonder if there are any irl meetups of people involved with formalizing mathematics, I thought that it would be a cool hobby to pick up (with some background in math and programming) but the existing libraries, like MathLib, TypeTopology or UniMath look a bit intimidating...
  • Good First Formal Proof?
    1 project | /r/askmath | 10 Jun 2023
    What is a good proof in either unimath or mathlib4 or somewhere else to get started with formal proofs? Like some well known result without too many dependencies, but still nothing trivial like propositional logic?
  • Functional Programming in Lean – a book on using Lean 4 to write programs
    2 projects | news.ycombinator.com | 29 May 2023
    For searching using search terms for theorems in mathlib, there is the mathlib documentation page (for Lean 3 https://leanprover-community.github.io/mathlib_docs/ and Lean 4 https://leanprover-community.github.io/mathlib4_docs/). To find theorems by type, I find the best way is to use the `library_search` tactic from inside Lean itself.
  • Good Entry Points For `mathlib4`?
    1 project | /r/math | 16 May 2023
    Hello, I'd like to start learning Lean 4. I'm already reading the book, but I'm really curious to study real-life parallel. So I looked into mathlib4, but there seem to be a lot of dependencies between the the files. So I wonder the following:

turing

Posts with mentions or reviews of turing. We have used some of these posts to build our list of alternatives and similar projects. The last one was on 2023-12-27.

What are some alternatives?

When comparing mathlib4 and turing you can also consider the following projects:

lean4 - Lean 4 programming language and theorem prover

printbf - Brainfuck interpreter inside printf

lean4-metaprogramming-book

turbine - A poorly coded configurable Turing machine, made with Rust and splash of ❤️

gmp-wasm - Fork of the GNU Multiple Precision Arithmetic Library (GMP), suitable for compilation into WebAssembly.

automata - A Python library for simulating finite automata, pushdown automata, and Turing machines

logical_verification_2023 - Hitchhiker's Guide to Logical Verification (2023 Edition)

fundamental - Software to look for interrelationships between constants and find formulas for number sequences

TypeTopology - Logical manifestations of topological concepts, and other things, via the univalent point of view.

TuringMachine - A Turing machine interpreter made in Java using Processing libraries.

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

vim_turing_machine - An implementation of a Turing machine using only normal mode Vim commands