Auditing an AI-Generated Mathematical Proof: A Correction to a Greedy Conditioning Lemma in Quantum Parallel Repetition
A mathematical proof in OpenAI's 'Ten Advances in Mathematics and Theoretical Computer Science' has been found to contain a mistake. A greedy conditioning lemma was used incorrectly, leading to an incorrect continuation test. This error can be exploited with a simple counterexample, and a corrected proof is provided. The correction does not affect the overall statement of the lemma or the rest of the chapter.
A mathematical proof in OpenAI's 'Ten Advances in Mathematics and Theoretical Computer Science' has been found to contain a mistake. A greedy conditioning lemma was used incorrectly, leading to an incorrect continuation test. This error can be exploited with a simple counterexample, and a corrected proof is provided. The correction does not affect the overall statement of the lemma or the rest of the chapter.
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Why it matters: This correction matters because it highlights the potential for errors in AI-generated mathematical proofs. Even if a proof appears mathematically plausible, small mistakes can have significant consequences.
Source: https://arxiv.org/abs/2608.14673
This article was originally published at: https://arxiv.org/abs/2608.14673