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Erschienen in:
2011 | OriginalPaper | Buchkapitel
Variable and Clause Ordering in an FSA Approach to Propositional Satisfiability
verfasst von : José M. Castaño, Rodrigo Castaño
Erschienen in: Implementation and Application of Automata
Verlag: Springer Berlin Heidelberg
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We use a finite state (FSA) construction approach to address the problem of propositional satisfiability (SAT). We use a very simple translation from formulas in conjunctive normal form (CNF) to regular expressions and use regular expressions to construct an FSA. As a consequence of the FSA construction, we obtain an ALL-SAT solver and model counter. We compare how several variable ordering (state ordering) heuristics affect the running time of the FSA construction. We also present a strategy for clause ordering (automata composition). We compare the running time of state-of-the-art model counters, BDD based sat solvers and we show that this FSA approach obtains state-of-the-art performance on some hard unsatisfiable benchmarks. This work brings up many questions on the possible use of automata to address SAT.