On Oct 21, Microsoft Research said a human-directed AI process helped prove the 31-year-old KLS conjecture.
On Oct 21, Microsoft Research said a human-directed AI process helped prove the 31-year-old KLS conjecture.
Microsoft Research published this on Oct 21, 2026 (source: microsoft.com).
Microsoft researcher Xinzhi Zhang and co-author Zhao Song say they proved the Kannan-Lovász-Simonovits conjecture from 1995, showing the bound holds with a constant independent of dimension. AI agents explored about 100 candidate approaches while the researchers pruned and directed the search. A parallel proof from another group and a Lean 4 formalization appeared separately.
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