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OpenAI seeks external review of AI‑generated proofs overturning ETH and tackling wave conjecture

OpenAIは指数時間仮説に挑むAI生成証明と、数十年にわたる波動予想への対処を公開し、独立した専門家による検証を呼びかけました。

OpenAI announced that its internal AI models have generated proofs that refute the Exponential Time Hypothesis (ETH) in computer science and resolve part of a Millennium Prize Problem in mathematics.

The company also claims a proof related to a 1991 wave concentration conjecture by Christopher Sogge, and a physics result, though details on the latter are limited.

OpenAI translated the mathematics and computer‑science proofs into the Lean language, allowing computer‑checked verification of each logical step, but notes that Lean only confirms the formal statement as written.

OpenAI will publish the raw data, including the written and Lean proofs, and has pledged funding for a conference to discuss the implications of the findings.

あなたにとっての意味

If confirmed, overturning the ETH would unsettle many theoretical results that rely on it, potentially reshaping algorithm research and complexity theory. For AI users, the episode highlights the growing role of AI in generating formal research and the need for rigorous, independent verification, especially when free or locally run models aim to replicate such capabilities.

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