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Lean

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Proximity Prize research is formalized in Lean. ArkLib is a Lean 4 library for formally verified arguments of knowledge. ConfidentialMind produced SampoTron Resolution produced 600k lines of Lean. OpenAI’s result was verified in Lean OpenAI formalized the disproof of the Exponential Time Hypothesis using Lean (software) on October 17, 2026 OpenAI FORMALIZED_IN Lean· Entity summary generated by Graphiti

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7Current
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BY VALID-FROM DATE
  1. Import AI 472PRODUCEDLean

    Resolution produced 600k lines of Lean.

    Current1 sourceImport AI 472
  2. OpenAIFORMALIZED WITHLean

    OpenAI formalized the disproof of the Exponential Time Hypothesis using Lean (software) on October 17, 2026

    Current1 sourceOpenAI
  3. OpenAIFORMALIZED INLean

    OpenAI FORMALIZED_IN Lean

    Current2 sourcesOpenAI
  4. LinearPRODUCEDLean

    ConfidentialMind produced SampoTron

    Current1 sourceLinear
  5. Proximity Prize researchFORMALIZED INLean

    Proximity Prize research is formalized in Lean.

  6. ArkLibBUILT WITHLean

    ArkLib is a Lean 4 library for formally verified arguments of knowledge.

    Current1 sourceArkLib
  7. OpenAIVERIFIED INLean

    OpenAI’s result was verified in Lean

    Current1 sourceOpenAI

Relations are facts Graphiti extracted from reports, not verbatim quotes. An end date means later reporting showed the relation no longer holds.