Cambridge mathematicians flag mismatch in OpenAI's Navier-Stokes proof versions
OpenAI's September 8 announcement of a solution to the Navier-Stokes problem included two versions of its proof: one in natural language with mathematical symbols, and one formalised in the Lean programming language for automated verification. A team led by Anders Hansen and Fabian Circelli at the University of Cambridge says these two versions do not actually match, meaning the Lean code may not faithfully represent the natural-language argument.
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The researchers say this discrepancy does not necessarily mean OpenAI's solution to the famous open problem is wrong, but it undermines the idea that auto-formalisation into code can substitute for human peer review. Hansen suggests that AI-generated proofs will still require careful human checking, which could add significant workload for mathematicians rather than reduce it.
- OpenAI published two versions of its Navier-Stokes proof: natural language and Lean code
- Cambridge researchers found the two versions do not match each other
- The finding raises doubts about relying on AI auto-formalisation as a substitute for peer review
Source: newscientist.com — Jacob Aron, 2026-10-09
Published there as: “OpenAI mistranslated mathematics into code for its Navier-Stokes proof”
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