Research & AGISeptember 30, 2026Impact
AI system helps settle an open combinatorics conjecture
Mathematicians credited an AI reasoning system with finding the key construction in a proof of a decades-old combinatorics conjecture, verified in the Lean proof assistant.
Why it matters
It is a clear example of AI contributing original mathematics rather than solving known problems, with machine-checked verification removing doubt about correctness.
The details
- Humans framed the problem and directed the search; the model proposed and refined candidate constructions.
- The formal proof was checked in Lean, a growing norm for AI-assisted mathematics.
Provenance: Preprint with formal proof; peer review pending. Illustrative placeholder story.