Coq is a formal proof management system. 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.
Typical applications include the certification of properties of
programming languages (e.g. the CompCert compiler certification project,
or the Bedrock verified low-level programming library), the formalization
of mathematics (e.g. the full formalization of the Feit-Thompson theorem
or homotopy type theory) and teaching.
