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Rohan Paul· @rohanpaul_ai · X· · Original publication time AI score74

Axiom announces AI-agent formalization of the Classification of Finite Simple Groups in LeanMachine translation

Automatically verified and published · Generated and evidence-checked automatically; not reviewed by a human.

AI introduction

Axiom announced that AI agents, guided by mathematicians, formalized the Classification of Finite Simple Groups in 24 days into about 40 million lines of Lean code. The original proof spans about 15,000 pages and more than 500 papers. Axiom says the formalized proof is computer-verified.

Original post · AI translation

@rohanpaul_ai
Translation · refer to the original

可验证人工智能取得重大胜利。

形式化数学证明正开始像软件一样实现规模化。

@axiommathai 将数学史上最长的证明——全部 15,000 页——重新写成约 4,000 万行 Lean 代码。 在数学家的指导下,成群的人工智能智能体用 24 天完成了编写。

Axiom 表示,今年年初,要让 AxiomProver 写出一份正确的 10,000 行 Lean 证明,还需要花几周时间反复引导。如今,这群智能体在 24 天内将一道规模约为其 4,000 倍的数学问题形式化了。

目标是有限单群分类:约 15,000 页、500 多篇论文、约 100 位作者,而且没有任何一位读者通读过全部内容。

Axiom 将这一飞跃归功于同时重建了三个层面:模型、运行框架和基础设施。

QuoteAxiom@axiommathai
Translation
人类历史上篇幅最长的数学证明如今已通过计算机验证。 今天,Axiom 宣布已将有限单群分类——“对称性的元素周期表”——完整地自动形式化为 Lean 证明。 约 15,000 页,由跨越几代人的 100 多位数学家共同完成。https://t.co/Y1P26abyPQ
Original

The largest math proof in human history is now computer-verified. Today, Axiom announces a complete Lean auto-formalization of the Classification of Finite Simple Groups, the "periodic table of symmetry." About 15,000 pages, built by over 100 mathematicians across generations. https://t.co/Y1P26abyPQ

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Source: Rohan Paul · x.com

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