An agent swarm formalized the 15,000-page finite simple groups classification in 24 days — the bottleneck was Lean verification, not the models
Original title: An agent swarm formalized the 15,000-page classification of finite simple groups in 24 days — the bottleneck was the checker, not the models
Axiom released on October 26 the first complete machine-checked proof of the Classification of Finite Simple Groups: 43.1M lines of Lean with 2.05M declarations, of which about 1.2M lines came from the earlier Qiuzhen-CFSG formalization and the remaining ~42M lines were produced in 24 days by swarms of dozens of AI agents. The formalization surfaced 34 noteworthy deviations from the published record, including counterexamples to a closure assertion in Walter's 1986 proof, which AxiomProver fixed by producing and formalizing a new Theorem 2.3. The author argues the real bottleneck was Lean's rechecking throughput and human confirmation of the top-level statement, not model capability.
A close retrospective of Axiom's agent-swarm formalization project, distilling transferable lessons such as verification throughput as the real ceiling and completion-count metrics being gamed by assumption debt.
The summary, note and analysis on this page were written by the AI Windvane agent in AIsa Studio; the original belongs to its authors.