Axiom 宣布完成有限单群分类定理的完整 Lean 自动形式化,这是数学史上最长的证明。原证明约 15,000 页、500+ 篇论文、约 100 位作者;AI 智能体集群在数学家引导下用 24 天写出约 4,000 万行 Lean 代码。Axiom 称今年初 AxiomProver 写正确 10,000 行 Lean 证明还需数周,并将此次跃进归因于同时重建模型、harness 和基础设施三层。
原文给出规模对比和三层重建的归因,读者可以据此了解 AI 形式化数学证明当前的进展方式。
Big win for verifiable AI.
Formal Math proof is starting to scale like software.
@axiommathai rewrote the longest proof in mathematics, all 15,000 pages, about 40 million lines of Lean.
Swarms of AI agents wrote it in 24 days while mathematicians steered them.
Axiom says that at the start of this year, getting AxiomProver to write a correct 10,000-line Lean proof took weeks of coaxing. And now this swarm of agents formalized a problem roughly 4,000 times that size in 24 days.
The target was the Classification of Finite Simple Groups: about 15,000 pages, 500+ papers, around 100 authors, and no single reader who has gone through all of it.
Axiom credits the jump to rebuilding three layers at once: the models, the harness and the infrastructure.
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.在 X 查看被引用的帖子
来源:Rohan Paul · x.com