A Coq library for Homotopy Type Theory
- type-theory
- homotopy-type-theory
- univalent-foundations
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A Coq library for Homotopy Type Theory
This rocq library aims to formalize a substantial body of mathematics using the univalent point of view.
Formal proof of the Four Color Theorem [maintainer=@ybertot]
A library of abstract interfaces for mathematical structures in Coq [maintainer=@spitters,@Lysxia]
A library of Coq definitions, theorems, and tactics. [maintainers=@gmalecha,@liyishuai]
Coq Repository at Nijmegen [maintainers=@spitters,@VincentSe,@Lysxia]
The Coq Effective Algebra Library [maintainers=@CohenCyril,@proux01]
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]
Graph Theory [maintainers=@chdoc,@damien-pous]
VCFloat: A Unified Coq Framework for Verifying C Programs with Floating-Point Computations
Implementation of books from Bourbaki's Elements of Mathematics in Coq [maintainer=@thery]
Coq library of arbitrarily large numbers, providing BigN, BigZ, BigQ that used to be part of the standard library [maintainers=@proux01,@erikmd]
Coq formalization of algorithms due to Tarjan and Kosaraju for finding strongly connected graph components using Mathematical Components and SSReflect [maintainers=@CohenCyril,@palmskog]
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]