output
20222026
researchers with a paper here
collaborating institutions

4 papers

cs.LO2026

A Rocq Formalization of Simplicial Lagrange Finite Elements

Sylvie Boldo, François Clément, Vincent Martin +2

Formalization of mathematics is a major topic, that includes in particular numerical analysis, towards proofs of scientific computing programs. The present study is about the finit…

cs.LO2025

A Rocq Formalization of Monomial and Graded Orders

Sylvie Boldo, François Clément, Vincent Martin +1

Even if binary relations and orders are a common formalization topic, we need to formalize specific orders (namely monomial and graded) in the process of formalizing in Rocq the fi…

cs.LO2022

Lebesgue Induction and Tonelli's Theorem in Coq

Sylvie Boldo, François Clément, Vincent Martin +2

Lebesgue integration is a well-known mathematical tool, used for instance in probability theory, real analysis, and numerical mathematics. Thus its formalization in a proof assista…

cs.LO2022

A Coq Formalization of the Bochner integral

Sylvie Boldo, François Clément, Louise Leclerc

The Bochner integral is a generalization of the Lebesgue integral, for functions taking their values in a Banach space. Therefore, both its mathematical definition and its formaliz…