Alphabeta MathHow 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.
Status of the second-generation proof
At the task's 2026-08-14 design check, the GLS revision remained ongoing. The 2025 Oberwolfach report, organized in part by GLS collaborator Inna Capdeboscq, describes the GLS project as ongoing and nearing completion. The current AMS catalog meanwhile lists Number 10 as the tenth volume in a series whose aim is to provide a complete proof, and says that this volume completes only the bicharacteristic-type identification begun in Number 9.
Used by
- The second-generation CFSG proof is complete as of 2026 False statement
Dependency tree · 0 levels
Nothing. This result depends on no other item in the library.
Sources
- American Mathematical Society, The Classification of the Finite Simple Groups, Number 10 (standard reference, not scraped)
- Capdeboscq, Henke, and Liebeck, Finite Groups, Fusion Systems and Applications, Oberwolfach Report 16/2025 (standard reference, not scraped)