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Phelps-Rodriguez conjecture

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Machine Learning Algorithms & Natural Language Processing
Machine Learning Algorithms & Natural Language Processing
Aug 17, 2026 · Artificial Intelligence

AI Proves Sendov’s Conjecture and Reveals a Stronger Result, Says Tao

An AI‑assisted proof using about 90,000 lines of Lean 4 formal code resolves the 70‑year‑old Sendov conjecture, and Terence Tao’s subsequent simplification shows it also settles the stronger Phelps‑Rodriguez conjecture, illustrating a new human‑machine collaboration model in mathematics.

AI-assisted proofLeanPhelps-Rodriguez conjecture
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AI Proves Sendov’s Conjecture and Reveals a Stronger Result, Says Tao