70 citations · 94 across the 13 of their papers we have counts for
13 papers
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…
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…
Maths with Coq in L1, a pedagogical experiment
Marie Kerjean, Micaela Mayero, Pierre Rousselin
In France, the first year of study at university is usually abbreviated L1 (for premiere annee de Licence). At Sorbonne Paris Nord University, we have been teaching an 18 hour intr…
Teaching Divisibility and Binomials with Coq
Sylvie Boldo, François Clément, David Hamelin +2
The goal of this contribution is to provide worksheets in Coq for students to learn about divisibility and binomials. These basic topics are a good case study as they are widely ta…
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…
A Coq Formalization of Lebesgue Integration of Nonnegative Functions
Sylvie Boldo, François Clément, Florian Faissole +2
Integration, just as much as differentiation, is a fundamental calculus tool that is widely used in many scientific domains. Formalizing the mathematical concept of integration and…