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Finite Simple Groups Classification Formalized in Lean, Gaps Found

Formalization process uncovers error in published Unbalanced Group Theorem proof

1 Oct 27 12:29 PM · 12d ago · 1 article · 1 post · 2 comments · 2 sources · development 1 of 2

While formalizing the first-generation proof, the team found counterexamples to a closure assertion used in a published route to the Unbalanced Group Theorem. They developed an alternative argument using Solomon's 1976 theory of maximal 2-components, with Theorem 2.3 on preservation of simple tops as the key step.

“While formalizing the first-generation proof, we found counterexamples to a closure assertion used in a published route to the Unbalanced Group Theorem.”

Axiom MTS / cfsg.axiommath.ai

Dean Cureton Core contributor to Lean formalizationVasily Ilin Core contributor to Lean formalizationBhavik Mehta Core contributor to Lean formalizationNiels Voss Core contributor to Lean formalizationAxiom MTS Organization leading the formalization project

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Peak 8 pieces in 3h at Oct 27, 12 PM; 20 pieces over 12 days (1 article · 2 posts · 17 comments) Oct 27, 12 PM — 8 pieces · 1 article · 1 post · 6 comments — Hacker News 7, Newswires 1Oct 27, 3 PM — 3 pieces · 3 comments — Hacker News 3Oct 27, 6 PM — 5 pieces · 5 comments — Hacker News 5Oct 27, 9 PM — quietOct 28, 12 AM — quietOct 28, 3 AM — 1 piece · 1 post — Mastodon 1Oct 28, 6 AM — 1 piece · 1 comment — Hacker News 1Oct 28, 9 AM — 2 pieces · 2 comments — Hacker News 2Oct 28, 12 PM — quietOct 28, 3 PM — quietOct 28, 6 PM — quietOct 28, 9 PM — quietOct 29, 12 AM — quietOct 29, 3 AM — quietOct 29, 6 AM — quietOct 29, 9 AM — quietOct 29, 12 PM — quietOct 29, 3 PM — quietOct 29, 6 PM — quietOct 29, 9 PM — quietOct 30, 12 AM — quietOct 30, 3 AM — quietOct 30, 6 AM — quietOct 30, 9 AM — quietOct 30, 12 PM — quietOct 30, 3 PM — quietOct 30, 6 PM — quietOct 30, 9 PM — quietOct 31, 12 AM — quietOct 31, 3 AM — quietOct 31, 6 AM — quietOct 31, 9 AM — quietOct 31, 12 PM — quietOct 31, 3 PM — quietOct 31, 6 PM — quietOct 31, 9 PM — quietNov 1, 12 AM — quietNov 1, 2 AM — quietNov 1, 5 AM — quietNov 1, 8 AM — quietNov 1, 11 AM — quietNov 1, 2 PM — quietNov 1, 5 PM — quietNov 1, 8 PM — quietNov 1, 11 PM — quietNov 2, 2 AM — quietNov 2, 5 AM — quietNov 2, 8 AM — quietNov 2, 11 AM — quietNov 2, 2 PM — quietNov 2, 5 PM — quietNov 2, 8 PM — quietNov 2, 11 PM — quietNov 3, 2 AM — quietNov 3, 5 AM — quietNov 3, 8 AM — quietNov 3, 11 AM — quietNov 3, 2 PM — quietNov 3, 5 PM — quietNov 3, 8 PM — quietNov 3, 11 PM — quietNov 4, 2 AM — quietNov 4, 5 AM — quietNov 4, 8 AM — quietNov 4, 11 AM — quietNov 4, 2 PM — quietNov 4, 5 PM — quietNov 4, 8 PM — quietNov 4, 11 PM — quietNov 5, 2 AM — quietNov 5, 5 AM — quietNov 5, 8 AM — quietNov 5, 11 AM — quietNov 5, 2 PM — quietNov 5, 5 PM — quietNov 5, 8 PM — quietNov 5, 11 PM — quietNov 6, 2 AM — quietNov 6, 5 AM — quietNov 6, 8 AM — quietNov 6, 11 AM — quietNov 6, 2 PM — quietNov 6, 5 PM — quietNov 6, 8 PM — quietNov 6, 11 PM — quietYesterday, 2 AM — quietYesterday, 5 AM — quietYesterday, 8 AM — quietYesterday, 11 AM — quietYesterday, 2 PM — quietYesterday, 5 PM — quietYesterday, 8 PM — quietYesterday, 11 PM — quietToday, 2 AM — quietToday, 5 AM — quietToday, 8 AM — quietToday, 11 AM — quiet 1–2
1–2Formalization process uncovers error in…
Oct 28Oct 29Oct 30Oct 31Nov 1Nov 2Nov 3Nov 4Nov 5Nov 6now · 1:08 PM ET

Reported in the same hours no headline names this development itself — these 1 claim were published in its stretch

  1. 1 outlet Classification of Finite Simple Groups Formalized in Lean

    first by HN Frontpage, 12d ago

What people said 2 voices · verbatim

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