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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
The repository host gives no description.
The Ott tool for writing definitions of programming languages and calculi
Formal proof of the Four Color Theorem [maintainer=@ybertot]
A formalization of geometry in Coq based on Tarski's axiom system
A Coq specification of ECMAScript 5 (JavaScript) with verified reference interpreter
A library of abstract interfaces for mathematical structures in Coq [maintainer=@spitters,@Lysxia]
A Lean formalization of the Classification of Finite Simple Groups
A library of mechanised undecidability proofs in the Coq proof assistant.
A library of Coq definitions, theorems, and tactics. [maintainers=@gmalecha,@liyishuai]
Verified hash-based AMQ structures in Coq
Coq Repository at Nijmegen [maintainers=@spitters,@VincentSe,@Lysxia]
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 Coq Effective Algebra Library [maintainers=@CohenCyril,@proux01]
Statements of famous theorems proven in Coq [maintainer=@jmadiot]
Finite sets, finite maps, multisets and generic sets
Regular Language Representations in Coq [maintainers=@chdoc,@palmskog]
Graph Theory [maintainers=@chdoc,@damien-pous]
Coq library on rewriting theory and termination
The formal proof of the Odd Order Theorem
VCFloat: A Unified Coq Framework for Verifying C Programs with Floating-Point Computations
Implementation of books from Bourbaki's Elements of Mathematics in Coq [maintainer=@thery]