Random Θ(log n)-CNFs Are Hard for Cutting Planes

Abstract

The random k-SAT model is the most important and well-studied distribution over k-SAT instances. It is closely connected to statistical physics and is a benchmark for satisfiability algorithms. We show that when k = Θ(log n), any Cutting Planes refutation for random k-SAT requires exponential size in the interesting regime where the number of clauses… (More)
DOI: 10.1109/FOCS.2017.19

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