Oct 6, 2026
Lean formalization in OpenAI math repository (Result 198)
Model / AI: OpenAI (unreleased)
machine-checked (formal proof)self-reported (formal proof)
OpenAI's internal frontier model proved and formalized in Lean the main result of 'An algebra of infinite little finitistic dimension'. We construct a finite-dimensional complex algebra whose finite-dimensional modules have unbounded finite projective dimensions. This disproves the little finitistic-dimension conjecture.
Source read 2026-10-08. Cataloged from OpenAI's formalization.yaml (Family 198). The Lean development was not rebuilt locally.