Theoretical computer science · Oct 6, 2026

A quasilinear PCP theorem for PPAD

Resolves the quasilinear PCP-for-PPAD conjecture. An End-of-Line instance of length N reduces to numerical circuit constraints of total length N(log⁡N)O(1)N(\log N)^{O(1)} 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.

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