OpenAI's Navier-Stokes proof came with a Lean 4 formalization verified in 17 hours
jedisct1 · x · 2026-09-10
OpenAI announced a result settling a long-standing Navier-Stokes question and simultaneously published a machine-verifiable Lean 4 proof. John D. Cook highlights the overlooked part: formal verification cost just collapsed 4 orders of magnitude.
- 2005 rule of thumb: 40 work-hours to formalize one page of an undergrad textbook
- A dense 166-page research paper would take 132,800 person-hours the old way
- OpenAI verified its proof in Lean in just 17 hours
- Recent AI-settled conjectures have likewise shipped with Lean proofs
- The author now uses AI formal proofs to check even casual blog math
Mathematically infallible software is approaching near-zero cost, and formal verification extends well beyond mathematics.
Related event: OpenAI's 10,000-agent Navier-Stokes claim sparks authorship dispute(490 posts)→
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