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arXiv · 1604.06560

A feasible interpolation for random resolution

Jan Krajicek
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Abstract

Random resolution, defined by Buss, Kolodziejczyk and Thapen (JSL, 2014), is a sound propositional proof system that extends the resolution proof system by the possibility to augment any set of initial clauses by a set of randomly chosen clauses (modulo a technical condition). We show how to apply the general feasible interpolation theorem for semantic derivations of Krajicek (JSL, 1997) to random resolution. As a consequence we get a lower bound for random resolution refutations of the clique-coloring formulas.

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Jan Krajicek. 2017-02-01. A feasible interpolation for random resolution. https://doi.org/10.23638/lmcs-13(1%3A5)2017

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