Abstract | ||
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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. |
Year | Venue | DocType |
---|---|---|
2017 | Electronic Colloquium on Computational Complexity (ECCC) | Journal |
Volume | Citations | PageRank |
abs/1703.02469 | 0 | 0.34 |
References | Authors | |
0 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Noah Fleming | 1 | 1 | 2.71 |
Denis Pankratov | 2 | 71 | 7.81 |
Toniann Pitassi | 3 | 2282 | 155.18 |
Robert Robere | 4 | 0 | 2.70 |