An axiom-free formalization of category theory in Coq for personal study and practical work
- category-theory
- coq
- monad
- profunctor
Repository Index
56,638 visible repositories in the index
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Mathematical Components
- coq
- ssreflect
- mathcomp
- coq-formalization
A Library for Representing Recursive and Impure Programs in Coq
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 library of abstract interfaces for mathematical structures in Coq [maintainer=@spitters,@Lysxia]
- coq-library
- typeclasses
- mathematics
- coq
Mostly Automated Synthesis of Correct-by-Construction Programs
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
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
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
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
Library to create Coq record update functions
Prime numbers for Coq
- coq
- theorem-proving
- elliptic-curves
- prime-numbers
Coq library on rewriting theory and termination
The formal proof of the Odd Order Theorem
- coq
- ssreflect
- mathcomp
- feit-thompson-theorem