2 citations · 3 across the 5 of their papers we have counts for
5 papers
Towards Automatic Transformations of Coq Proof Scripts
Nicolas Magaud
Proof assistants like Coq are increasingly popular to help mathematicians carry out proofs of the results they conjecture. However, formal proofs remain highly technical and are es…
Pragmatic isomorphism proofs between Coq representations: application to lambda-term families
Catherine Dubois, Nicolas Magaud, Alain Giorgetti
There are several ways to formally represent families of data, such as lambda terms, in a type theory such as the dependent type theory of Coq. Mathematical representations are ver…
Spreads and Packings of PG(3,2), Formally!
Nicolas Magaud
We study how to formalize in the Coq proof assistant the smallest projective space PG(3,2). We then describe formally the spreads and packings of PG(3,2), as well as some of their…
Mechanization of Incidence Projective Geometry in Higher Dimensions, a Combinatorial Approach
Pascal Schreck, Nicolas Magaud, David Braun
Several tools have been developed to enhance automation of theorem proving in the 2D plane. However, in 3D, only a few approaches have been studied, and to our knowledge, nothing h…
Integrating an Automated Prover for Projective Geometry as a New Tactic in the Coq Proof Assistant
Nicolas Magaud
Recently, we developed an automated theorem prover for projective incidence geometry. This prover, based on a combinatorial approach using matroids, proceeds by saturation using th…