The Z3 Theorem Prover
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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.
- proof-assistant
- coq
- theorem-proving
- dependent-types
This rocq library aims to formalize a substantial body of mathematics using the univalent point of view.
- coq
- mathematics
- unimath
- coq-library
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
- category-theory
- formal-verification
- formal-proofs
Formal proof of the Four Color Theorem [maintainer=@ybertot]
- coq
- ssreflect
- mathcomp
- four-color-theorem
CoqHammer: An Automated Reasoning Hammer Tool for Rocq - Proof Automation for Dependent Type Theory
- coq
- hammer
- automation
- proof-search
Mathematical Components compliant Analysis Library
- rocq
- analysis
- coq
- mathcomp
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-library
- typeclasses
- mathematics
- coq
The Next Generation Logic Library
A library of mechanised undecidability proofs in the Coq proof assistant.
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