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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
Mathematical Components
The Ott tool for writing definitions of programming languages and calculi
formally verified category theory library
Mathematical Components compliant Analysis Library
A Coq specification of ECMAScript 5 (JavaScript) with verified reference interpreter
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
A foundational framework for modular cryptographic proofs in Coq
The Penn Locally Nameless Metatheory Library
Variations on Kirby & Paris' hydra battles and other entertaining math in Coq (collaborative, documented, includes exercises) [maintainer=@Casteran]
Prime numbers for Coq
Library for Classical Coq
Coq formalization of algorithms due to Tarjan and Kosaraju for finding strongly connected graph components using Mathematical Components and SSReflect [maintainers=@CohenCyril,@palmskog]
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]
Completeness and Decidability of Modal Logic Calculi [maintainer=@chdoc]
Extra contribution for mathcomp