ml sci-mathematics Developed in the LogiCal project, the Coq tool is a formal proof management system: a proof done with Coq is mechanically checked by the machine. In particular, Coq allows: * the definition of functions or predicates, * to state mathematical theorems and software specifications, * to develop interactively formal proofs of these theorems, * to check these proofs by a small certification "kernel". Coq is based on a logical framework called "Calculus of Inductive Constructions" extended by a modular development system for theories.