AI BriefingAxiom Formalizes 15,000-Page Classification of Finite Simple Groups in 24 Days Using Agent Swarms
·2026.10.28 23:20
Key point
The project generated 43.1 million lines of code, with verification speed, not model generation, identified as the primary bottleneck.
Details
- Axiom released a complete Lean formalization of the Classification of Finite Simple Groups on October 26, comprising 43.1 million lines and 2.05 million declarations.
- The work was completed in 24 days by swarms of dozens of agents coordinated via GitHub issues and Slack, split across 108 milestones.
- Approximately 1.2 million lines were inherited from an earlier project, while tens of thousands of lines were deleted and restarted due to agents incorrectly assuming lemmas instead of proving them.
- The main bottleneck was Lean rechecking proofs slower than agents produced them, a throughput limit on verification rather than generation.
- This issue was resolved using distributed caching and externally checkable certificates.
- The failure log highlights that determining whether adding an assumption deferred work or changed meaning was a recurring difficulty for the agents.
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