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Mathematicians say OpenAI's Navier–Stokes proof may not match its Lean formalization

newscientist.com 5 min read Editor score 7/10

Mathematicians allege a subtle mismatch between OpenAI's natural-language Navier–Stokes proof and its Lean formalization; the claim does not establish that the proof is wrong. The case highlights the need to check that a formal verification artifact actually corresponds to the result it is meant to validate.

What

OpenAI published natural-language and Lean versions of a Navier–Stokes proof; Cambridge researchers say the two do not match.

How

In Lemma 8.6, Lean requires a value below m + 5 rather than below m + 4, a weaker statement that can still compile.

Why it matters

Engineers using formalization need to check that verified code preserves the source proof’s meaning; compilation alone may miss translation drift.

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