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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.
This rocq library aims to formalize a substantial body of mathematics using the univalent point of view.
Cosette is an automated SQL solver.
formally verified category theory library
Formal proof of the Four Color Theorem [maintainer=@ybertot]
A formalization of geometry in Coq based on Tarski's axiom system
A library of abstract interfaces for mathematical structures in Coq [maintainer=@spitters,@Lysxia]
A library of mechanised undecidability proofs in the Coq proof assistant.
A Lean formalization of the Stacks Project
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]
Graph Theory [maintainers=@chdoc,@damien-pous]
Partial Commutative Monoids
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]