Kuramoto-lean: Lean 4 Library for Finite-N Kuramoto Synchronisation Dynamics
Year: 2026
Type: preprint
Abstract: We present `kuramoto-lean`, a Lean 4 / Mathlib library containing 14 formally verified theorem and lemma statements about finite-$N$ Kuramoto oscillator dynamics. The library takes a finite-dimensional geometric approach on phase configurations, distinct from the Ott--Antonsen manifold and continuum-limit formalism used in complementary Kuramoto formalisation work. All public results in the library are sorry-free, admit-free, and introduce no new axioms. We describe the library contents and the `#check`-before-cite development discipline used to avoid hallucinated API names during AI-assisted Lean development.
Author: Cassie, Ben
Language: English
Subfield: Computer Networks and Communications
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7162865062
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