OpenAI releases AI-generated math manuscript claiming the Exponential Time Hypothesis is false

jiqizhixin · x · 2026-11-08

OpenAI published an AI-generated mathematical manuscript with a Lean formalization titled "The Exponential Time Hypothesis Is False," challenging a central assumption in computational complexity theory. The proposed algorithm counts satisfying assignments — not just deciding existence — claiming deterministic subexponential time and polynomial space for fixed clause widths, using algebraic representations and shared linear summaries. The sharper sparse-formula bound carries conditions: clause count must be at most a fixed constant times variables. The result is under independent examination, not an established replacement for existing complexity theory.

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