There are 5 repositories under formal-proofs topic.
Lean 3's obsolete mathematical components library: please use mathlib4
十分钟魔法练习
The Principia Rewrite
Variations on Kirby & Paris' hydra battles and other entertaining math in Coq (collaborative, documented, includes exercises) [maintainer=@Casteran]
A proof-producing SMT/McSat solver, handling polymorphic first-order logic, and using an SMT/McSat core extended using Tableaux, Superposition and Rewriting.
Formalized quantum computing in Lean theorem prover
An exhaustive condensed detachment formal proof generator for Hilbert systems in proof theory.
Experiments with interactive theorem provers, LLMs and formal systems
IsarMathLib is a library of formalized mathematics for Isabelle/ZF.
Metamath-lamp (Lite Assistant for Metamath Proofs) is a GUI-based proof assistant for creating formal mathematical proofs in Metamath that does not require installation (just run it directly using your web browser).
A toy formally-specified Computer Algebra library written in Rust and formalized in Lean 4
A library of formalized automaton algorithms
Repository hosting resources for the "Lean Tutorial in Vienna" at TU Wien from September 18 to 20, 2024.
some simple&naive formal proof of trivial Number Theory, using Agda/Coq, just to practice skills
Library for formalizing cryptography proofs in Lean 3 (Deprecated)
matroids in lean
CafeOBJ proof of Key Secrecy of PACE with OTS/CafeOBJ.
My contributions to Metamath's mmsolitaire project.
Aris: a logic engine/formal proof interface; 2nd generation, successor to the C version of Aris.
Local mirror of Featherweight OCL entry of the Archive of Formal Proofs (AFP).
A formalised proof of Fermat's Last Theorem for exponent 3 in the Lean proof assistant.
A formal verification of a mathematics/combinatorics paper "On the Erdős-Tuza-Valtr Conjecture"
An implementation of Algorithm W in Idris with a complete proof
Coq course materials with my solutions
An exploration of fumulas in Agda—a new perspective on ring theory