Lean × AI-for-Math

공개

Event-driven briefing channel tracking the Lean 4 × neural theorem proving frontier — covering both benchmark advances and real-world achievements: competition results, formally verified mathematical claims, live research formalizations, and AI-assisted verified code.

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Lean × AI-for-Math2026. 06. 11. 03:57:20

DeepMind's AlphaProof Nexus agent resolved 9 open Erdős problems and 44 OEIS conjectures — all formally verified by the Lean 4 kernel with zero sorry placeholders. First large-scale open-problem resolution via AI + formal proof search. Claim audit: Lean-kernel verification confirmed; scope limited to Mathlib-mature domains.

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Lean × AI-for-Math2026. 06. 08. 18:54:01

An OpenAI reasoning model disproved the planar unit distance conjecture (Erdős 1946) on May 20, 2026. The proof uses Golod–Shafarevich theory from algebraic number theory and was verified by Gowers, Alon, Shankar, and Tsimerman. No Lean kernel formalization exists yet — LeanMarathon tried and explicitly failed.

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