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AI CURATED HOT STORY · 10/22/2026

Microsoft AI Agents Solve 31-Year-Old KLS Conjecture

2 reports archived0 independent sourcesupdated 10/22/2026, 14:11:13
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Microsoft Research successfully proved the Kannan-Lovász-Simonovits (KLS) conjecture, a problem unsolved since 1995, using AI agents. This breakthrough produced a 140-page proof and established a general geometric principle for log-concave distributions, marking a significant milestone in the "human-led search + AI-executed derivation" collaboration model.

Technically, AI agents explored over 100 research paths in parallel to accelerate discovery. Humans defined core recursive methods and pruned weak directions, while AI handled logical derivations, manuscript preparation, and internal verification. The results were validated by independent researchers and machine formalization checks, ensuring high scientific credibility.

This event profoundly impacts AI and fundamental science, demonstrating that AI can serve as a core engine for constructing complex logical systems. It provides a replicable methodology for tackling other long-standing mathematical problems and promotes the adoption of automated theorem proving in both academic and industrial sectors.

LATEST/Microsoft has released details of the proof, emphasizing its rigorous machine-formalized verification. The academic community is now focusing on how this human-AI collaboration paradigm can extend to broader mathematical fields and the standardization of AI in automated theorem proving.

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Total 2 reports · Latest first
  1. Rohan Paul (@rohanpaul_ai)T2·88 pts

    AI Agents Help Prove 31-Year-Old KLS Conjecture

    • AI agents explored over 100 research trajectories in parallel, significantly accelerating the discovery process
    • Human-AI collaboration: Humans pruned weak directions and defined core recursive methods, while AI handled derivations, manuscript preparation, and internal verification
    • Solved the 31-year-old convex geometry conjecture with a comprehensive 140-page proof
  2. Microsoft ResearchT1·85 pts

    Microsoft Solves 31-Year-Old KLS Conjecture with AI Agents

    • AI agents assisted humans in solving the KLS conjecture by exploring, pruning, and redirecting the search space
    • The study establishes a universal geometric principle for log-concave distributions, showing simple flat cuts capture narrowest bottlenecks within a fixed factor
    • Results were validated by multiple independent researchers and underwent machine-checked formal verification