Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: Family 136. The quasilinear PCP-for-PPAD conjecture

Family claims › Theoretical computer science · lines 983–988

OpenAI@2026-10-07#rem:oai-136

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Resolves the quasilinear PCP-for-PPAD conjecture. An End-of-Line instance of length reduces to numerical circuit constraints of total length such that any polynomially encoded rational assignment satisfying all but a fixed fraction to fixed accuracy yields an endpoint solution. Such assignments always exist, giving robust local verification with only quasilinear size overhead.

The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.

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