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.
An axiom-free formalization of category theory in Coq for personal study and practical work
- category-theory
- coq
- monad
- profunctor
A Library for Representing Recursive and Impure Programs in Coq
A library for formalizing Haskell types and functions in Coq
A library of Coq definitions, theorems, and tactics. [maintainers=@gmalecha,@liyishuai]
- coq
- library
- programming
- coq-platform
Variations on Kirby & Paris' hydra battles and other entertaining math in Coq (collaborative, documented, includes exercises) [maintainer=@Casteran]
- coq
- hydra-battles
- ordinal-notations
- formal-proofs
A Rocq formalization of information theory and linear error-correcting codes
- information-theory
- error-correcting-codes
- probability
- convexity
The Coq Effective Algebra Library [maintainers=@CohenCyril,@proux01]
- coq
- refinement
- mathcomp
- coq-platform
Regular Language Representations in Coq [maintainers=@chdoc,@palmskog]
- coq
- mathcomp
- regular-languages
- ssreflect
Graph Theory [maintainers=@chdoc,@damien-pous]
- coq
- graph-theory
- mathcomp
- docker-coq-action
Implementation of books from Bourbaki's Elements of Mathematics in Coq [maintainer=@thery]
- coq
- bourbaki
- set-theory
- mathcomp
coinduction library for Coq
A certified Sudoku solver in Coq [maintainers=@siraben,@thery]