Axiom's AI agents produce a Lean formalization of the classification of finite simple groups
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Rohan PaulXPickAxiom's AI agent swarm formalizes the classification of finite simple groups in 24 daysAIAxiom's AI agent swarm turned 15,000 pages across more than 500 papers into over 38 million lines of machine-verified code in 24 days. The effort also uncovered 34 serious discrepancies in the published record. The post quotes @biosemiote, who calls the formal proof of CFSG possibly among the largest open-source projects ever and says the work reflects decades of human mathematics. The attached chart shows Axiom's CFSG effort at 43.0M Lean lines, compared with other Lean formalizations since June 2025.
- Rohan PaulXPickAxiom formalizes the Classification of Finite Simple Groups in Lean in 24 days
AIAxiom has released a complete computer-checked Lean proof of the Classification of Finite Simple Groups, a roughly 15,000-page proof written by about 100 mathematicians. Over 24 days, engineers and mathematicians directed swarms of dozens of AI agents, which produced about 38 million lines of Lean code. Axiom credits the speed to rebuilding its models, harness and infrastructure together.
elvisXPickElvis Saravia highlights Axiom's agent swarm formalizing the classification of finite simple groupsAIElvis Saravia says Axiom used a swarm of AI agents to formally verify the Classification of Finite Simple Groups in Lean, about 50 million lines verified in 24 days. He says the agents claimed tasks, wrote and reviewed proofs, merged their own work through GitHub, and fixed hundreds of errata in the published proof.
Kevin Weil 🇺🇸XPickAxiom completes a full Lean formalization of the classification of finite simple groupsAIKevin Weil says a full Lean formalization of the classification of finite simple groups is complete. He notes the original proof ran about 15,000 pages across 500 papers by 100 mathematicians, and says the formal version settles the result beyond doubt. The linked page on axiommath.ai describes the formalization.
SantiagoXAxiom completes a Lean formalization of the Classification of Finite Simple GroupsAIAxiom announces a complete Lean auto-formalization of the Classification of Finite Simple Groups, about 15,000 pages built by more than 100 mathematicians across generations. The author says multiple agents chose tasks, wrote proofs, audited each other's work, and merged their contributions, and adds that agents may eventually work independently for long periods.