libcoq-mathcomp-algebra

Description

The Mathematical Components Library is an extensive and coherent repository of formalized mathematical theories. It is based on the Coq proof assistant, powered with the Coq/SSReflect language.

These formal theories cover a wide spectrum of topics, ranging from the formal theory of general-purpose data structures like lists, prime numbers or finite graphs, to advanced topics in algebra.

The formalization technique adopted in the library, called "small scale reflection", leverages the higher-order nature of Coq's underlying logic to provide effective automation for many small, clerical proof steps. This is often accomplished by restating ("reflecting") problems in a more concrete form, hence the name. For example, arithmetic comparison is not an abstract predicate, but rather a function computing a Boolean.

This package installs the algebra part of the library (ring, fields, ordered fields, real fields, modules, algebras, integers, rationals, polynomials, matrices, vector spaces...).

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Homepage

https://math-comp.github.io/math-comp/

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