This rocq library aims to formalize a substantial body of mathematics using the univalent point of view.
- coq
- mathematics
- unimath
- coq-library
Repository Index
47,133 repositories indexed
1–24 of 42 · Most stars
An axiom-free formalization of category theory in Coq for personal study and practical work
- category-theory
- coq
- monad
- profunctor
Mathematical Components
- coq
- ssreflect
- mathcomp
- coq-formalization
A framework for formally verifying distributed systems implementations in Coq
- verdi
- coq
- coq-library
- proof
Metaprogramming, verified meta-theory and implementation of Rocq in Rocq
- coq
- metaprogramming
- coq-formalization
- rocq
Language for high-assurance and high-speed cryptography
A Library for Representing Recursive and Impure Programs in Coq
A function definition package for Rocq
- coq
- programming-language
- dependent-types
- rocq
A formalization of geometry in Coq based on Tarski's axiom system
Theorem statements about OSS-Fuzz fuzz targets as compiled RISC-V binaries, and machine-checked Rocq proofs of them
- formal-verification
- fuzzing
- oss-fuzz
- proofs
A Verified Compiler for Gallina, Written in Gallina
A library of Coq definitions, theorems, and tactics. [maintainers=@gmalecha,@liyishuai]
- coq
- library
- programming
- coq-platform
Coq Repository at Nijmegen [maintainers=@spitters,@VincentSe,@Lysxia]
- coq-library
- real-number
- coq
- coq-ci
High level commands to declare a hierarchy based on packed classes
- mathcomp
- coq
- elpi
A foundational framework for modular cryptographic proofs in Coq
- cryptography
- coq-library
- coq-formalization
- state-separating-proofs
Hoare Type Theory
- hoare-logic
- hoare-monads
- separation-logic
- coq
Monadic effects and equational reasoning in Rocq
- monads
- monad-transformers
- probabilistic-programming
- nondeterminism
A Rocq formalization of information theory and linear error-correcting codes
- information-theory
- error-correcting-codes
- probability
- convexity
The Coq Effective Algebra Library [maintainers=@CohenCyril,@proux01]
- coq
- refinement
- mathcomp
- coq-platform
Foundational Cryptography Framework for machine-checked proofs of cryptography.
The Waterproof plugin for the Rocq proof assistant allows you to write Rocq proofs in a style that resembles handwritten mathematical proofs, designed to help university students with learning how to prove mathematical statements.
Relation algebra library for Coq
Finite sets, finite maps, multisets and generic sets
- coq
- ssreflect
- mathcomp
- finite-sets
Regular Language Representations in Coq [maintainers=@chdoc,@palmskog]
- coq
- mathcomp
- regular-languages
- ssreflect