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Shanghai AI Lab’s Shusheng-S2 helps develop a proof for a decades-old problem in chaos theory

Reddit r/singularity ↗ · 14h ago Cached

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。

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#lean-verification

The most exciting claims from OpenAI’s heap of new proofs

Reddit r/artificial ↗ · 2026-10-09 Cached

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。

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#lean-verification

Internal Anthropic model refuted the 3SUM and APSP hypotheses: first truly subquadratic 3SUM and truly subcubic APSP (Alman & Vassilevska Williams)

Reddit r/singularity ↗ · 2026-10-06 Cached

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.

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#lean-verification

After OpenAI’s CDC proof announcement, GPT-5.6 used a similar prompt to close a 30-year gap in convex optimization, verified in Lean

Reddit r/singularity ↗ · 2026-07-18

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.

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