3 papers
math.CA2026
Formalizing Carleson's Theorem in Lean
Lars Becker, María Inés de Frutos-Fernández, Leo Diedering +11
We present the formalization of Carleson's theorem in the proof assistant Lean. This paper describes the mathematical content, organization of the project, the blueprint, and the m…
math.CO2025
Composition Direction of Seymour's Theorem for Regular Matroids -- Formally Verified
Martin Dvorak, Tristan Figueroa-Reid, Rida Hamadani +8
Seymour's decomposition theorem is a hallmark result in matroid theory presenting a structural characterization of the class of regular matroids. Formalization of matroid theory fa…
math.CA2024
A blueprint for the formalization of Carleson's theorem on convergence of Fourier series
Lars Becker, María Inés de Frutos-Fernández, Leo Diedering +14
This paper is the blueprint underlying the Lean formalization of the proof of Carleson's classical result asserting almost everywhere convergence of Fourier series of continuous fu…