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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 modern proof language
Formal verification for AI: a Lean 4 + Dafny proof checker that catches fake AI proofs (reward hacking), and verified recursive self-improvement (RSI) for coding agents. AI for math, physics and software engineering.
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 repository host gives no description.
NASA PVS Library of Formal Developments
formally verified category theory library
Formal proof of the Four Color Theorem [maintainer=@ybertot]
Verifying Signal's security at the machine-code level
Theorem statements about OSS-Fuzz fuzz targets as compiled RISC-V binaries, and machine-checked Rocq proofs of them
A formalization of geometry in Coq based on Tarski's axiom system
A library for formalizing Haskell types and functions in Coq
A Lean formalization of the Classification of Finite Simple Groups
A Lean formalization of the Stacks Project
Verified hash-based AMQ structures in Coq
A foundational framework for modular cryptographic proofs in Coq
Variations on Kirby & Paris' hydra battles and other entertaining math in Coq (collaborative, documented, includes exercises) [maintainer=@Casteran]
A Rocq formalization of information theory and linear error-correcting codes
The formal proof of the Odd Order Theorem
Coq formalization of algorithms due to Tarjan and Kosaraju for finding strongly connected graph components using Mathematical Components and SSReflect [maintainers=@CohenCyril,@palmskog]