Mathematical Components

Mathematical Components compliant Analysis Library

Lecture notes for a short course on proving/programming in Coq via SSReflect.

Formal proof of the Four Color Theorem [maintainer=@ybertot]

Distributed Separation Logic: a framework for compositional verification of distributed protocols and their implementations in Coq

High level commands to declare a hierarchy based on packed classes

Monadic effects and equational reasonig in Coq

The Coq Effective Algebra Library [maintainers=@CohenCyril,@proux01]

A Coq formalization of information theory and linear error-correcting codes

A course on formal verification at https://compsciclub.ru/en, Spring term 2021

Automation for de Bruijn syntax and substitution in Coq [maintainers=@RalfJung,@co-dan]

Finite sets, finite maps, multisets and generic sets

Regular Language Representations in Coq [maintainers=@chdoc,@palmskog]

Finite sets and maps for Coq with extensional equality

Graph Theory [maintainers=@chdoc,@damien-pous]

Ring, field, lra, nra, and psatz tactics for Mathematical Components

A proof of Abel-Ruffini theorem.

Libraries demonstrating design patterns for programming and proving with canonical structures in Coq [maintainer=@anton-trunov]

Implementation of books from Bourbaki's Elements of Mathematics in Coq [maintainer=@thery]

The formal proof of the Odd Order Theorem