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OpenAI Releases Formal Proof for Navier-Stokes Equations

OpenAI announced a formal proof related to the Navier-Stokes equations on September 10, 2026, releasing both a conventional and a Lean 4 formal proof. This achievement marks a significant reduction in the effort required for formal verification, which has traditionally been a labor-intensive process. The applications of formal verification extend beyond mathematics to areas such as security policies and algorithm correctness.

Companies
OpenAI
People
Henk Barendregt Freek Wiedijk

Our neutral summary

OpenAI announced a formal proof related to the Navier-Stokes equations on September 10, 2026, releasing both a conventional and a Lean 4 formal proof. This achievement marks a significant reduction in the effort required for formal verification, which has traditionally been a labor-intensive process. The applications of formal verification extend beyond mathematics to areas such as security policies and algorithm correctness.

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Original Headline

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

Neutral Headline

OpenAI Releases Formal Proof for Navier-Stokes Equations