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Peking University AI Claims Solution to 2014 Algebra Problem With Automated Verification

The claim remains unreviewed pending independent checks.

Overview

  • A Peking University-led team reported in an arXiv preprint that a dual-agent AI solved an open problem in commutative algebra and produced a machine-checked proof.
  • The framework pairs a reasoning agent called Rethlas, which searches past papers to draft a proof, with a second agent named Archon that turns the draft into Lean 4 code for formal verification.
  • The researchers said the system completed the task in about 80 hours without human judgment, though they noted a mathematician’s guidance made it faster.
  • The study has not undergone peer review and independent mathematicians have not yet verified the proof or replicated the workflow.
  • The problem was posed in 2014 by University of Iowa mathematician Dan Anderson, and the team argues the approach could ease the heavy work of translating human math into code-checked proofs.