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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.
An axiom-free formalization of category theory in Coq for personal study and practical work
A framework for formally verifying distributed systems implementations in Coq
A port of Coq to Javascript -- Run Coq in your Browser
formally verified category theory library
A Library for Representing Recursive and Impure Programs in Coq
A formalization of geometry in Coq based on Tarski's axiom system
A Coq specification of ECMAScript 5 (JavaScript) with verified reference interpreter
An implementation of the Raft distributed consensus protocol, verified in Coq using the Verdi framework
Theorem statements about OSS-Fuzz fuzz targets as compiled RISC-V binaries, and machine-checked Rocq proofs of them
A library of abstract interfaces for mathematical structures in Coq [maintainer=@spitters,@Lysxia]
A Lean formalization of the Classification of Finite Simple Groups
Verified hash-based AMQ structures in Coq
Coq Repository at Nijmegen [maintainers=@spitters,@VincentSe,@Lysxia]
A foundational framework for modular cryptographic proofs in Coq
Hoare Type Theory
Variations on Kirby & Paris' hydra battles and other entertaining math in Coq (collaborative, documented, includes exercises) [maintainer=@Casteran]
Monadic effects and equational reasoning in Rocq
Statements of famous theorems proven in Coq [maintainer=@jmadiot]
Finite sets, finite maps, multisets and generic sets
Prime numbers for Coq
Coq library on rewriting theory and termination
Coq formalization of algorithms due to Tarjan and Kosaraju for finding strongly connected graph components using Mathematical Components and SSReflect [maintainers=@CohenCyril,@palmskog]
Completeness and Decidability of Modal Logic Calculi [maintainer=@chdoc]