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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.
- proof-assistant
- coq
- theorem-proving
- dependent-types
This rocq library aims to formalize a substantial body of mathematics using the univalent point of view.
- coq
- mathematics
- unimath
- coq-library
Mathematical Components
- coq
- ssreflect
- mathcomp
- coq-formalization
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Formal proof of the Four Color Theorem [maintainer=@ybertot]
- coq
- ssreflect
- mathcomp
- four-color-theorem
Mathematical Components compliant Analysis Library
- rocq
- analysis
- coq
- mathcomp
A library of abstract interfaces for mathematical structures in Coq [maintainer=@spitters,@Lysxia]
- coq-library
- typeclasses
- mathematics
- coq
A Lean formalization of the Classification of Finite Simple Groups
Variations on Kirby & Paris' hydra battles and other entertaining math in Coq (collaborative, documented, includes exercises) [maintainer=@Casteran]
- coq
- hydra-battles
- ordinal-notations
- formal-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 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
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
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
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
Completeness and Decidability of Modal Logic Calculi [maintainer=@chdoc]
- coq
- mathcomp
- modal-logics
- ctl
Extra contribution for mathcomp
- theorem-proving
- primality-test
- matroid
- rsa-algorithm