An axiom-free formalization of category theory in Coq for personal study and practical work
- category-theory
- coq
- monad
- profunctor
Repository Index
47,133 repositories indexed
1–24 of 28 · Most stars
Mathematical Components
- coq
- ssreflect
- mathcomp
- coq-formalization
Language for high-assurance and high-speed cryptography
Formal proof of the Four Color Theorem [maintainer=@ybertot]
- coq
- ssreflect
- mathcomp
- four-color-theorem
Mathematical Components compliant Analysis Library
- rocq
- analysis
- coq
- mathcomp
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
Modeling and Proving in Computational Type Theory
High level commands to declare a hierarchy based on packed classes
- mathcomp
- coq
- elpi
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
Finite sets, finite maps, multisets and generic sets
- coq
- ssreflect
- mathcomp
- finite-sets
Functional Data Structures and Algorithms in SSReflect [maintainer=@clayrat]
- coq
- mathcomp
- 2-3-tree
- avl-tree
Regular Language Representations in Coq [maintainers=@chdoc,@palmskog]
- coq
- mathcomp
- regular-languages
- ssreflect
Graph Theory [maintainers=@chdoc,@damien-pous]
- coq
- graph-theory
- mathcomp
- docker-coq-action
The formal proof of the Odd Order Theorem
- coq
- ssreflect
- mathcomp
- feit-thompson-theorem
VCFloat: A Unified Coq Framework for Verifying C Programs with Floating-Point Computations
Micromega tactics for Mathematical Components
- coq
- ssreflect
- mathcomp
- proof-automation
Implementation of books from Bourbaki's Elements of Mathematics in Coq [maintainer=@thery]
- coq
- bourbaki
- set-theory
- mathcomp
Stable sort algorithms and their stability proofs in Rocq
- mathcomp
- ssreflect
- sorting-algorithms
- mergesort
Libraries demonstrating design patterns for programming and proving with canonical structures in Coq [maintainer=@anton-trunov]
- coq
- canonical-structures
- typeclasses
- ssreflect
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