Random CNFs are Hard for Cutting Planes

Noah Fleming; Denis Pankratov; Toniann Pitassi; Robert Robere

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arXiv · 1703.02469

Random CNFs are Hard for Cutting Planes

Noah Fleming·Denis Pankratov·Toniann Pitassi·Robert Robere

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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; it is used as a testbench for satisfiability algorithms, and average-case hardness over this distribution has also been linked to hardness of approximation via Feige's hypothesis. We prove that any Cutting Planes refutation for random k-SAT requires exponential size, for k that is logarithmic in the number of variables, in the (interesting) regime where the number of clauses guarantees that the formula is unsatisfiable with high probability.

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BibTeX RIS

Noah Fleming, Denis Pankratov, Toniann Pitassi, Robert Robere. 2017-03-07. Random CNFs are Hard for Cutting Planes. https://arxiv.org/abs/1703.02469

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