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Explore OpenAI、「たぶん正しい」指数時間仮説を反証する with 226,860 views, 3,089 likes, and 102 comments. Experience the impact of this video content that has captured audience attention.

「3-SAT を解くには指数時間がかかる」という指数時間仮説（ETH）を、3-SAT を 2^(n/√log n) くらいの時間で解くアルゴリズムで反証したと主張する OpenAI の論文（未査読）を紹介します。 動画の 2^(n/√log n) は、節の数が変数の数の定数倍以下のときの評価です（一般には 2^O(n log log n / √log n)）。Schöning、Hertli、Jiang–Cai の値は、どれも乱択アルゴリズムのものです。 参考文献: OpenAI. (2026, October 25). The Exponential Time Hypothesis is False. ( https://github.com/openai/math/blob/main/preprints/The-Exponential-Time-Hypothesis-is-False-October-25-2026/paper.pdf ) Schöning, U. (1999). A Probabilistic Algorithm for k-SAT and Constraint Satisfaction Problems. 40th IEEE Symposium on Foundations of Computer Science, 410–414. Hertli, T. (2014). 3-SAT Faster and Simpler—Unique-SAT Bounds for PPSZ Hold in General. SIAM Journal on Computing, 43(2), 718–729. Jiang, T., & Cai, S. (2026). A Better Analysis For PPSZ For 3-SAT. arXiv:2607.10697. 音楽: MusMus === X: https://x.com/evima0 Discord: https://discord.com/invite/MqxuBEKRZM

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