Lean

Headlines · 4

1. 10h
   Report: Claude-generated Lean proof targets a percolation conjecture

   A 36Kr report says Anthropic engineers uploaded a Lean-verified proof generated with an unpublished Claude model for a long-standing percolation conjecture in dimensions three through ten. The claim has not been independently established in the source: the original researchers are reportedly waiting for a human-readable explanation, and Anthropic has not published an official announcement.

   36氪 人工智能 · 🔥 11
2. 1d
   Terence Tao Warns of “Proof Indigestion” as AI Mathematics Accelerates

   A report says Fields Medalist Terence Tao has urged AI companies to slow down their pursuit of mathematical breakthroughs, arguing that machine-checked proofs are advancing faster than human interpretation, peer review and textbook integration. It also reports that OpenAI has formed an independent Mathematics and AI Advisory Group at the Institute for Advanced Study, while stating that the group will not advise on OpenAI’s internal mathematical progress.

   量子位（原生 RSS） · 🔥 4
3. 2d
   Christian Szegedy：AI将重塑数学研究

   新智元解读了 xAI 联合创始人 Christian Szegedy 关于数学未来的一篇长文。Szegedy 认为，随着 AI 在定理证明和自动形式化方面进展，数学可能从少数专家的手艺转变为科学技术的基础设施；文章同时引用了 OpenAI 和 Anthropic 关于解决数学问题的说法，但未独立核实这些案例。

   新智元 · 🔥 7
4. 2d
   OpenAI releases 722 math manuscripts from unreleased frontier model

   OpenAI published 722 mathematics manuscripts on GitHub on October 6, grouped into 372 result families, all produced by an unreleased internal frontier model. The company says the set covers hundreds of open questions, including a quasi-Riemann hypothesis result (a zero-free region up to real part 7/8), three-dimensional Kakeya maximal and four-dimensional Kakeya conjectures, the Unique Games Conjecture, BSD formulas, Hilbert's tenth problem over the rationals and the Hodge conjecture for CM abelian varieties. OpenAI says the average result used compute equivalent to roughly three hours of ChatGPT Pro thinking and provides Lean formalizations for about 235 of the 372 families, while acknowledging that not all manuscripts are formalized. The release follows advice from the independent AGMAI group and continues to stir unease among mathematicians.

   The Verge AI · 🔥 150

Experience and discussion from the community

Share my Lean experienceAsk about Lean