3D Kakeya conjecture fully formalized in Lean 4 with no sorry, aided by ByteDance Seed AI4Math
AlexKontorovich · x · 2026-09-09
The proof of the 3D Kakeya conjecture (Guth–Wang–Zahl) has been fully formalized in Lean 4, open-sourced as project-numina/kakeya-3d. Combined with the unconditional Sticky Kakeya formalization by Nankai University × ByteDance Seed AI4Math, the proof carries no sorry and no project-specific axioms — completely machine-verified. The formalization is layered: KakeyaDimensionThree derives the conjecture from one explicit input (GWZ Theorem 7.3(A)), which KakeyaDimensionThreeofpureWZ2 discharges. Hailed as a showcase of AI helping turn frontier mathematics into machine-checked proofs.
More from Research
- RLM harness lifts M&A diligence pass rate from 23.3% to 62.4% across seven models — a1zhang · 2026-09-09
- OpenAI claims agent-group solution to 90-year-old Navier-Stokes Millennium Prize Problem — mobav0 · 2026-09-09
- IFM open-sources K2 Horizon: six models, 20T tokens each, and a public reward-hacking audit — kimmonismus · 2026-09-09
- Dev launches aggregator site collecting all statements on OpenAI's claimed Navier–Stokes proof — NathanpmYoung · 2026-09-09
- Astra's in-house chess helper engine can force or block specific game outcomes, docs show — MikePFrank · 2026-09-09
- Anshul Kundaje: genomics is just scratching the surface of an AI-driven breakthrough era — anshulkundaje · 2026-09-09