mathlib4
TypeTopology
mathlib4 | TypeTopology | |
---|---|---|
10 | 1 | |
889 | 212 | |
23.7% | - | |
10.0 | 9.8 | |
1 day ago | 2 days ago | |
Lean | Agda | |
Apache License 2.0 | GNU General Public License v3.0 only |
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mathlib4
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A Linear Algebra Trick for Computing Fibonacci Numbers Fast
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.
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Show HN: The first complete open source implementation of Turing's famous paper
As an aside, there are a number of Turing machines defined in Lean's mathlib. https://github.com/leanprover-community/mathlib4/blob/2c3ee3...
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Lean 4.0.0, first official lean4 release
Thanks,
and there is Subobject, which looks like the subobject classifier.
https://github.com/leanprover-community/mathlib4/blob/master...
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Are There People Doing Formal Math In Berlin?
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...
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Good First Formal Proof?
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?
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Functional Programming in Lean – a book on using Lean 4 to write programs
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.
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Good Entry Points For `mathlib4`?
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:
TypeTopology
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Are There People Doing Formal Math In Berlin?
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...
What are some alternatives?
lean4 - Lean 4 programming language and theorem prover
Agda - Agda formalisation of the Introduction to Homotopy Type Theory
lean4-metaprogramming-book
UniMath - This coq library aims to formalize a substantial body of mathematics using the univalent point of view.
gmp-wasm - Fork of the GNU Multiple Precision Arithmetic Library (GMP), suitable for compilation into WebAssembly.
Coq-HoTT - A Coq library for Homotopy Type Theory
turing - A reference implementation of Alan Turing's 1936 paper, On Computable Numbers
cubicaltt - Experimental implementation of Cubical Type Theory
logical_verification_2023 - Hitchhiker's Guide to Logical Verification (2023 Edition)
agda-stdlib - The Agda standard library
mathlib - Lean 3's obsolete mathematical components library: please use mathlib4
template-agda - An Agda template, configured for Gitpod (www.gitpod.io) to give you pre-built, ephemeral development environments in the cloud.