This rocq library aims to formalize a substantial body of mathematics using the univalent point of view.
- coq
- mathematics
- unimath
- coq-library
Repository Index
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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
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 library of Coq definitions, theorems, and tactics. [maintainers=@gmalecha,@liyishuai]
- coq
- library
- programming
- coq-platform
A foundational framework for modular cryptographic proofs in Coq
- cryptography
- coq-library
- coq-formalization
- state-separating-proofs
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 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.
Regular Language Representations in Coq [maintainers=@chdoc,@palmskog]
- coq
- mathcomp
- regular-languages
- ssreflect
Prime numbers for Coq
- coq
- theorem-proving
- elliptic-curves
- prime-numbers
Coq library on rewriting theory and termination
VCFloat: A Unified Coq Framework for Verifying C Programs with Floating-Point Computations
Stable sort algorithms and their stability proofs in Rocq
- mathcomp
- ssreflect
- sorting-algorithms
- mergesort
Coq library of arbitrarily large numbers, providing BigN, BigZ, BigQ that used to be part of the standard library [maintainers=@proux01,@erikmd]
- coq-plugin
- large-numbers
- coq
- docker-coq-action
A Coq library providing tactics to deal with hypothesis
- coq
- formal-proofs
- proof-assistant
- tactics
A library for verifying graph-manipulating programs. Powered by Coq and VST. Compatible with CompCert.
- coq
- vst
- compcert
- graph-algorithms
Coq formalization of algorithms due to Tarjan and Kosaraju for finding strongly connected graph components using Mathematical Components and SSReflect [maintainers=@CohenCyril,@palmskog]
- coq
- mathcomp
- ssreflect
- tarjan-algorithm
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]
- coq
- complex-analysis
- real-analysis
Extra contribution for mathcomp
- theorem-proving
- primality-test
- matroid
- rsa-algorithm