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T. Peitl, F. Slivovsky, S. Szeider:
"Long Distance Q-Resolution with Dependency Schemes";
Vortrag: Theory and Application of Satisfiability Testing -- SAT, Bordeaux, France; 05.07.2016 - 08.07.2016; in: "Proceedings of SAT 2016: Theory and Applications of Satisfiability Testing - SAT 2016", (2016), ISBN: 978-3-319-40969-6; S. 500 - 518.

Resolution proof systems for quantified Boolean formulas (QBFs) provide a formal model for studying the limitations of state-of-the-art search-based QBF solvers, which use these systems to generate proofs. In this paper, we define a new proof system that combines two such proof systems: Q-resolution with generalized universal reduction according to a dependency scheme and long distance Q-resolution. We show that the resulting proof system is sound for the reflexive resolution-path dependency scheme-in fact, we prove that it admits strategy extraction in polynomial time. As a special case, we obtain soundness and polynomial-time strategy extraction for long distance Q-resolution with universal reduction according to the standard dependency scheme. We report on experiments with a configuration of DepQBF that generates proofs in this system.

http://publik.tuwien.ac.at/files/publik_254744.pdf