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38th conference on current trends in theory and practice of computer science, sofsem 2012

作者： Čepek, Ondřej Kučera, Petr Vlček, Václav Department of Theoretical Computer Science and Mathematical Logic Charles University Malostranské nám. 25 118 00 Praha 1 Czech Republic Estonská 500 100 00 Praha 10 Czech Republic

ISBN: (纸本)9783642276590

Single look-ahead unit resolution (SLUR) algorithm is a nondeterministic polynomial time algorithm which for a given input formula in a conjunctive normal form (CNF) either outputs its satisfying assignment or gives up. A CNF formula belongs to the SLUR class if no sequence of nondeterministic choices causes the SLUR algorithm to give up on it. the SLUR class is reasonably large. It is known to properly contain the well studied classes of Horn CNFs, renamable Horn CNFs, extended Horn CNFs, and CC-balanced CNFs. In this paper we show that the SLUR class is considerably larger than the above mentioned classes of CNFs by proving that every Boolean function has at least one CNF representation which belongs to the SLUR class. On the other hand, we show, that given a CNF it is coNP-complete to decide whether it belongs to the SLUR class or not. Finally, we define a non-collapsing hierarchy of CNF classes SLUR(i) in such a way that for every fixed i there is a polynomial time satisfiability algorithm for the class SLUR(i), and that every CNF on n variables belongs to SLUR(i) for some i ≤ n. © 2012 Springer-Verlag.

关键词： Boolean functions

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Lecture Notes in computer science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics): Preface

Lecture Notes in Computer Science (including subseries Lectu...

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Lecture Notes in computer science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 2012年 7147 LNCS卷 V-VII页

作者： Bieliková, Mária Friedrich, Gerhard Gottlob, Georg Katzenbeisser, Stefan Turán, György Slovak University of Technology Bratislava Slovakia Alpen-Adria-Universität Klagenfurt Austria University of Oxford United Kingdom Technische Universität Darmstadt Germany University of Illinois Chicago IL United States University of Szeged Hungary

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