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AI Labs Publish Machine-Checked Proofs Claiming Major Wins in Math, Computer Science and Physics

The releases include Lean formalizations that let machines verify logical steps yet leave open questions about whether the formal code matches the natural-language claims.

Overview

  • Two leading AI labs have posted claimed solutions across disciplines, including a Navier–Stokes submission and papers that say the Exponential Time Hypothesis is false.
  • Both OpenAI and Anthropic provided Lean formal proof files so machines can check formal steps but several researchers have reported mismatches between the written manuscripts and the Lean code.
  • Advisory group AGMAI and many scholars have urged immediate, broad access to the materials and funding for independent audits instead of restricted, vendor-controlled review.
  • Teams of human experts at universities and institutes have begun line-by-line audits and are producing readable expositions and trimmed proofs to make the AI outputs usable for ordinary researchers.
  • If the claims hold, large swaths of theory that depend on ETH and related assumptions will need re-evaluation, and the field faces new labor and funding demands to verify and translate AI-generated work into human knowledge.