Searching for Falsified Clause in Random (log n)-CNFs is Hard for Randomized Communication

Artur Riazanov, Anastasia Sofronova, Dmitry Sokolov, Weiqiang Yuan · arXiv (Cornell University) · 2025

We show that for a randomly sampled unsatisfiable $O(\log n)$-CNF over $n$ variables the randomized two-party communication cost of finding a clause falsified by the given variable assignment is linear in $n$.

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