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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 Coq library for Homotopy Type Theory
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
The Ott tool for writing definitions of programming languages and calculi
Formal proof of the Four Color Theorem [maintainer=@ybertot]
An implementation of the Raft distributed consensus protocol, verified in Coq using the Verdi framework
Coq Repository at Nijmegen [maintainers=@spitters,@VincentSe,@Lysxia]
A foundational framework for modular cryptographic proofs in Coq
Variations on Kirby & Paris' hydra battles and other entertaining math in Coq (collaborative, documented, includes exercises) [maintainer=@Casteran]
Foundational Cryptography Framework for machine-checked proofs of cryptography.
Regular Language Representations in Coq [maintainers=@chdoc,@palmskog]
Prime numbers for Coq
Coq library for reasoning on randomized algorithms [maintainers=@anton-trunov,@volodeyka]
Hanoi tower in Coq
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]