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Beyond Q-Resolution and Prenex Form: A Proof System for Quantified Constraint Satisfaction (1403.0222v4)
Published 2 Mar 2014 in cs.LO, cs.AI, and cs.CC
Abstract: We consider the quantified constraint satisfaction problem (QCSP) which is to decide, given a structure and a first-order sentence (not assumed here to be in prenex form) built from conjunction and quantification, whether or not the sentence is true on the structure. We present a proof system for certifying the falsity of QCSP instances and develop its basic theory; for instance, we provide an algorithmic interpretation of its behavior. Our proof system places the established Q-resolution proof system in a broader context, and also allows us to derive QCSP tractability results.