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About this paper

Jonah Brown-Cohen, Geoffrey Irving, Simon C. Marshall, Ilan Newman, Georgios Piliouras, Mario Szegedy

The paper introduces Debate Query Complexity, measuring the worst-case bits a deterministic verifier queries from an input and debate transcript when two provers compete. Cross-examination checks a challenged computation gate, yielding at most log(m)+3 queries for an m-gate circuit. The authors prove logarithmic DQC characterizes PSPACE/poly, with lower bounds near log(n); human practicality remains untested.

Summary by alphaXiv.

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