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The Rocq Prover is an interactive theorem prover, or proof assistant. 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.
A Proof-oriented Programming Language
Agda is a dependently typed programming language / interactive theorem prover.
Formal verification for AI: a Lean 4 + Dafny proof checker that catches fake AI proofs (reward hacking), and verified recursive self-improvement (RSI) for coding agents. AI for math, physics and software engineering.
This rocq library aims to formalize a substantial body of mathematics using the univalent point of view.
An axiom-free formalization of category theory in Coq for personal study and practical work
A port of Coq to Javascript -- Run Coq in your Browser
A Library for Representing Recursive and Impure Programs in Coq
Mathematical Components compliant Analysis Library
Verifying Signal's security at the machine-code level
An implementation of the Raft distributed consensus protocol, verified in Coq using the Verdi framework
A Lean formalization of the Classification of Finite Simple Groups
A library of mechanised undecidability proofs in the Coq proof assistant.
Coq Repository at Nijmegen [maintainers=@spitters,@VincentSe,@Lysxia]
Variations on Kirby & Paris' hydra battles and other entertaining math in Coq (collaborative, documented, includes exercises) [maintainer=@Casteran]
Library for Classical Coq
A certified Sudoku solver in Coq [maintainers=@siraben,@thery]
Coq formalization of algorithms due to Tarjan and Kosaraju for finding strongly connected graph components using Mathematical Components and SSReflect [maintainers=@CohenCyril,@palmskog]
Coqtail is a library of mathematical theorems and tools proved inside the Coq proof assistant. Results range mostly from arithmetic to real and complex analysis. [maintainer=@jmadiot]