Ordyniak, S. and Paulusma, Daniel and Szeider, S. (2011) 'Satisfiability of acyclic and almost acyclic CNF formulas (II).', in Theory and Applications of Satisfiability Testing - SAT 2011, 14th International Conference, SAT 2011, Ann Arbor, MI, USA, June 19-22, 2011 ; proceedings. Berlin: Springer, pp. 47-60. Lecture notes in computer science. (6695).
In the first part of this work (FSTTCS’10) we have shown that the satisfiability of CNF formulas with β-acyclic hypergraphs can be decided in polynomial time. In this paper we continue and extend this work. The decision algorithm for β-acyclic formulas is based on a special type of Davis-Putnam resolution where each resolvent is a subset of a parent clause. We generalize the class of β-acyclic formulas to more general CNF formulas for which this type of Davis-Putnam resolution still applies. We then compare the class of β-acyclic formulas and this superclass with a number of known polynomial formula classes.
|Item Type:||Book chapter|
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|Publisher Web site:||http://dx.doi.org/10.1007/978-3-642-21581-0_6|
|Record Created:||13 Dec 2011 15:35|
|Last Modified:||03 Apr 2013 16:23|
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