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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.
A Coq library for Homotopy Type Theory
This rocq library aims to formalize a substantial body of mathematics using the univalent point of view.
An axiom-free formalization of category theory in Coq for personal study and practical work
Mathematical Components
A framework for formally verifying distributed systems implementations in Coq
Metaprogramming, verified meta-theory and implementation of Rocq in Rocq
The Ott tool for writing definitions of programming languages and calculi
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 for formalizing Haskell types and functions in Coq
A Lean formalization of the Classification of Finite Simple Groups
A library of Coq definitions, theorems, and tactics. [maintainers=@gmalecha,@liyishuai]
A mechanisation of Wasm in Rocq
Verified hash-based AMQ structures in Coq
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
A Rocq formalization of information theory and linear error-correcting codes