Axiom Uses a Swarm of AI Agents to Complete the Lean Formalization of a 15,000-Page Mathematical Proof in 24 Days
Axiom announced the completion of the Lean auto-formalization of the Classification of Finite Simple Groups; this mathematical proof is about 15,000 pages and was completed by more than 100 mathematicians across generations. After rewriting, it is about 40 million lines of Lean code, written in 24 days by a swarm of AI agents under the guidance of mathematicians. Axiom said that at the start of this year, getting AxiomProver to write a correct 10,000-line Lean proof still required weeks of repeated guidance; this scale is about 4,000 times that, and it attributes the leap to simultaneously rebuilding all three layers: the model, the harness, and the infrastructure.
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Axiom used a swarm of agents to complete the Lean formalization of a mathematical proof of about 15,000 pages in 24 days, comparable to the situation at the start of the year when 10,000 lines took several weeks.
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View original postThe 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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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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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.