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OpenAI’s Navier-Stokes release included a Lean 4 formal proof

OpenAI released work related to the Navier-Stokes equations that includes a formal proof written in Lean 4, signaling a notable convergence of AI-driven research and formal verification methods. The use of Lean 4—a theorem prover—to accompany AI-generated mathematics highlights growing integration of formal methods into scientific discovery.

Background

The Navier-Stokes existence and smoothness problem is one of the seven Millennium Prize Problems in mathematics. Lean 4 has emerged as a leading proof assistant used to formally verify complex mathematical theorems.

Source
Hacker News (RSS)
Published
Sep 11, 2026 at 05:22 AM
Score
7.0 / 10