TCS researcher: release includes a claimed, Lean-formalized proof of the Unique Games Conjecture he had worked on
Joe Bebel @joeintheory · x · 2026-10-06 · ★★★ · archived
First-hand reaction (~91k views) from a researcher working on the Unique Games Conjecture.
Summary
Posted 23:22 UTC, quoting OpenAI: "This includes a claimed proof and Lean formalization of the Unique Games Conjecture, which I have been personally working on for the last year and a half." ~91k views. Bebel's bio: theoretical computer scientist, formerly USC.
Other UGC reactions: Chris Peikert (Michigan) at 23:43 UTC: "Unique Games Conjecture, proved. L=RL, proved. And that’s just the first two CS results…" (https://x.com/ChrisPeikert/status/2107617657415782731, ~12k views). Mahdi Ch. (@mahdi_tcs_, CS professor at Michigan per his bio) at 00:17 UTC: "Unique Games Theorem, shorter than a typical FOCS/STOC paper" (https://x.com/mahdi_tcs_/status/2107626269969895838, ~3.4k). No expert had reported checking the proof by 05:20 UTC; the claimed Lean formalization was the main basis for confidence.
Archived text
This includes a claimed proof and Lean formalization of the Unique Games Conjecture, which I have been personally working on for the last year and a half.
Quoting @OpenAI: We’re releasing a broad range of new mathematical results produced by an internal frontier model.
We’ve been consulting with the independent Advisory Group on Mathematics and Artificial Intelligence at the Institute for Advanced Study, and we have drawn on their advice and
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Archived 2026-10-07 via syndication.
Related events
- OpenAI releases 722 AI-written math manuscripts (372 result families) claiming hundreds of open problems, incl. quasi-Riemann, Unique Games, Hodge for CM abelian varieties and free group factors 2026-10-06
- OpenAI model claims a proof of Khot's Unique Games Conjecture, with Lean formalization 2026-10-06
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