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

Artur Riazanov; Anastasia Sofronova; Dmitry Sokolov; Weiqiang Yuan

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arXiv · 2507.12124

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

Artur Riazanov·Anastasia Sofronova·Dmitry Sokolov·Weiqiang Yuan

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Abstract

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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Artur Riazanov, Anastasia Sofronova, Dmitry Sokolov, Weiqiang Yuan. 2025-07-16. Searching for Falsified Clause in Random (log n)-CNFs is Hard for Randomized Communication. https://arxiv.org/abs/2507.12124

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