OpenAI claims its model refuted the Exponential Time Hypothesis, verified in Lean

AIFlow_ML · x · 2026-10-27

MIT complexity theorist Ryan Williams announced that an internal OpenAI model has produced a claimed refutation of the Exponential Time Hypothesis (ETH), with Impagliazzo, Paturi and himself asked to organize independent review. Dan Roberts announced "three new discoveries" in math, CS and physics; the CS headline result — a deterministic algorithm exactly counting satisfying assignments of k-CNF formulas in (n+m)^{O(k)}2^{n/(log n)^{1/3+o(1)}} time — is claimed to be verified in Lean. A major, contested claim against a load-bearing complexity conjecture.

Related event: OpenAI Announces Three Major AI-Driven Scientific Breakthroughs Across Math, Complexity Theory and Physics(63 posts)→

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