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
formally verified category theory library
A formalization of geometry in Coq based on Tarski's axiom system
A library of mechanised undecidability proofs in the Coq proof assistant.
Partial Commutative Monoids
- partial-commutative-monoid
- separation-logic
- coq
- coq-library
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]
- coq
- complex-analysis
- real-analysis
Completeness and Decidability of Modal Logic Calculi [maintainer=@chdoc]
- coq
- mathcomp
- modal-logics
- ctl
Extra contribution for mathcomp
- theorem-proving
- primality-test
- matroid
- rsa-algorithm