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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.
The math library of Lean 4
The Ott tool for writing definitions of programming languages and calculi
Formal proof of the Four Color Theorem [maintainer=@ybertot]
A library of abstract interfaces for mathematical structures in Coq [maintainer=@spitters,@Lysxia]
A Lean formalization of the Classification of Finite Simple Groups
A library of Coq definitions, theorems, and tactics. [maintainers=@gmalecha,@liyishuai]
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]
The Coq Effective Algebra Library [maintainers=@CohenCyril,@proux01]
Statements of famous theorems proven in Coq [maintainer=@jmadiot]
Finite sets, finite maps, multisets and generic sets
Regular Language Representations in Coq [maintainers=@chdoc,@palmskog]
Graph Theory [maintainers=@chdoc,@damien-pous]
Implementation of books from Bourbaki's Elements of Mathematics in Coq [maintainer=@thery]
Coq library for reasoning on randomized algorithms [maintainers=@anton-trunov,@volodeyka]
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]
Completeness and Decidability of Modal Logic Calculi [maintainer=@chdoc]