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Hacker News AI· titusblair·· 19 days agoFeaturedAI score88

OpenAI says its AI disproved the Exponential Time Hypothesis

OpenAI says its AI disproved the Exponential Time Hypothesis

AI summary

OpenAI announced on October 26, 2026 that its internal models produced three results, including a deterministic algorithm that counts satisfying assignments of k-CNF formulas and thereby refutes the Exponential Time Hypothesis, with the proof formalized in Lean and a working group led by Russell Impagliazzo, Ramamohan Paturi and Ryan Williams set to verify it. The paper's gains are asymptotic and very slow: with all hidden constants set to 1, the general bound only beats the best known 3-SAT algorithm past roughly 540 million variables, and the Lean theorem proves a weaker bound that beats plain 2^n only when n has about 2,400 digits. The paper itself notes that P versus NP is untouched, and OpenAI says it seeks no academic credit and will fund a conference on the result.

Why it matters

Useful for readers tracking AI-generated mathematics because it separates the asymptotic claim from practical impact and details exactly what the Lean formalization does and does not establish.

Source: Hacker News AI · theainewsreport.com