Work

Formalizing Carleson's Theorem in Lean

Year: 2026

Type: preprint

Abstract: 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 main design decisions behind the formalization. It is the result of a large collaborative effort, written and developed in public.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.31334

Authors: Becker, Lars, de Frutos-Fernández, María Inés, Diedering, Leo, van Doorn, Floris, Gouëzel, Sébastien, Karunus, Evgenia, van de Meent, Edward, Monticone, Pietro, Mulder-Sohn, Jasper, Portegies, Jim, Roos, Joris, Rothgang, Michael, Sundstrom, James, Tan, Jeremy

Language: English

Topic: Logic, programming, and type systems

Subfield: Software

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Deutsche Forschungsgemeinschaft

Awards: EXC 2047: Hausdorff Center for Mathematics (HCM), G1600773818, G591746060, Topics in Harmonic Analysis: Maximal Functions, Singular Integrals, and Multilinear Inequalities

OpenAlex ID: W7214661958

Cites: 17

Cited by: 1

Related to: 10