OpenAI’s Navier-Stokes release included a Lean 4 formal proof
20 days ago
- OpenAI announced a proof for the Navier-Stokes equations, accompanied by a Lean 4 formal proof, significantly reducing verification time.
- Traditional formalization of mathematical proofs is extremely time-consuming, often requiring 40 hours per page for undergraduate texts and much more for research.
- OpenAI's verification took only 17 hours, showcasing a dramatic cost reduction (four orders of magnitude) through AI and Lean 4.
- Formal verification has broad applications beyond mathematics, including security policies, smart contracts, and mission-critical algorithms.
- The success relied on tools like Prove2Me to coordinate proof steps with LLM agents, highlighting infrastructure that validates AI-generated mathematical output.