Assia Mahboubi (Inria Gallinette, Nantes), Machine-Checked Computer-Aided Mathematics



This talk presents an overview of three contributions to the formal verification of mathematics in dependent type theory. The first of these contributions deals with the realization of a library of digitized mathematics, covering the standard undergraduate background in algebra as well as some more advanced chapters in finite group theory. The two other contributions are related to the issues pertaining to the formal verification of computational mathematical proofs, by the means of symbolic algorithms and of rigorous numerical methods respectively. We conclude with a few perspectives on the formal verification of computer-aided mathematics.