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
Cosette is an automated SQL solver.
formally verified category theory library
CoqHammer: An Automated Reasoning Hammer Tool for Rocq - Proof Automation for Dependent Type Theory
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]
Coq Repository at Nijmegen [maintainers=@spitters,@VincentSe,@Lysxia]
- coq-library
- real-number
- coq
- coq-ci
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
Prime numbers for Coq
- coq
- theorem-proving
- elliptic-curves
- prime-numbers
Coq formalization of algorithms due to Tarjan and Kosaraju for finding strongly connected graph components using Mathematical Components and SSReflect [maintainers=@CohenCyril,@palmskog]
- coq
- mathcomp
- ssreflect
- tarjan-algorithm
Extra contribution for mathcomp
- theorem-proving
- primality-test
- matroid
- rsa-algorithm