Alphabeta Math
False statementConstruction: Literature-sourcedVerification: AI-generatedPipeline-generatedprecheck passjudge pass (gpt-5.6-terra)audited 2026-09-06
How statement and proof provenance work

The first chip identifies the source of the statement or construction; the second identifies the source of its local proof or verification.

  • Literature-sourced: the exact statement appears in a cited source; only wording and notation differ.
  • AI-adapted: a semantically identical restatement of literature-sourced material, modulo indexing, notation, and boundary cases adopted by the library.
  • AI-generated: a genuinely novel statement formulated by AI, with no source for the claim itself.

These labels describe origin, not correctness: citations and verification chips remain separate evidence.

The second-generation CFSG proof is complete as of 2026

Statement

The second-generation proof of the classification of finite simple groups is complete as of 2026.

Facts & Assumptions

Given: Use the official AMS Number 10 record cited above, as checked on 2026-08-14.

[L1]

The 2025 Oberwolfach report, organized in part by GLS collaborator Inna Capdeboscq, describes the GLS project as ongoing and nearing completion.

[L2]

The current AMS catalog describes Number 10 as the tenth volume in a series whose aim is to provide a complete proof and says that Number 10 completes only the bicharacteristic-type identification begun in Number 9.

Refutation

technique · direct
1.1

The Oberwolfach report explicitly records an ongoing project, and the current AMS catalog records only the more limited completion accomplished by Number 10.

L1L2given
2.1

Thus the cited status evidence supports an ongoing programme, contradicting the claimed completion as of the design check.

step 1.1contradiction∎

Depends on

Used by

Nothing in the library uses this result yet.

Dependency tree · one level

1 result within one dependency step of this one, each drawn at its shortest distance from it. An arrow runs from a result to what uses it, so the chart reads left to right and ends at this result, which carries a heavier outline. Every node is a link to that result. Click elsewhere on the chart to enlarge it.

Sources