GoKawiilIndependent researcher claims AI-assisted Lean proof of Conway's 50-year-old refinement conjecture
An amateur mathematician spent a month using a frontier AI model to attempt a formal Lean proof of John Conway's refinement conjecture about omnific integers in surreal number theory, a problem posed 50 years ago. The proof reportedly passed mechanical verification through the Palomar registry, and some Lean and field experts said the statement appears correct, though full independent mathematical verification is still pending.
GoKawiil's interpretation of the reporting above, not reported fact.
This case adds to a growing trend of AI tools being used to tackle unsolved mathematical problems, blurring the line between human insight and machine-assisted discovery. If validated, it would demonstrate that non-experts equipped with AI and formal proof-checkers like Lean can meaningfully contribute to advanced mathematics, though the reliance on automated verification raises questions about trust and the need for peer review.
- A hobbyist claims to have produced a Lean-verified proof of Conway's refinement conjecture using AI assistance.
- The proof passed automated checks via the Palomar registry but awaits full mathematician verification.
- The effort reflects a broader trend of using AI models to pursue open problems in mathematics, following recent AI 'breakthrough' hype.
Source: overreacted.io, 2026-09-18
Published there as: “I Vibed a Proof of Conway's Conjecture”
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