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上海AI实验室的Shusheng-S2模型与数学家合作,给出了混沌理论中Ghys猜想三维情形的机器验证证明,论文已作为预印本发布于arXiv并通过Lean形式化检查。
OpenAI发布了700多篇由AI智能体生成的论文,声称在理论数学、计算机科学和物理领域解决了372个公开问题,其中包括关于黎曼假设的重大进展,尽管部分证明已被发现错误并撤回,专家仍称这些成果令人震惊。
An internal Anthropic Claude model discovered the first truly subquadratic 3SUM algorithm (O(n^1.9992)) and truly subcubic APSP algorithm (O(n^2.9995)), refuting the long-standing 3SUM and APSP hypotheses in fine-grained complexity theory. The result, formalized in a paper by Josh Alman and Virginia Vassilevska Williams, stems from a new thin matrix multiplication algorithm and was verified using Lean 4.
Following OpenAI's CDC proof announcement, GPT-5.6 reportedly solved a 30-year open problem in convex optimization using a similar prompt, with the solution verified in the Lean proof assistant.