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SAT Solving for Argument FilteringsMichael Codish, Peter Schneider-Kamp, Vitaly Lagoon, René Thiemann and Jürgen Giesl
International Conference on
Logic for Programming, Artificial Intelligence and Reasoning;
2006
Abstract:This paper introduces a propositional encoding for lexicographic path orders in connection with dependency pairs. This facilitates the application of SAT solvers for termination analysis of term rewrite systems based on the dependency pair method. We address two main inter-related issues and encode them as satisfiability problems of propositional formulas that can be efficiently handled by SAT solving: (1) the combined search for a lexicographic path order together with an argument filtering to orient a set of inequalities; and (2) how the choice of the argument filtering influences the set of inequalities that have to be oriented. We have implemented our contributions in the termination prover AProVE. Extensive experiments show that by our encoding and the application of SAT solvers one obtains speedups in orders of magnitude as well as increased termination proving power.Available: bibtex entry pdf Michael Codish The Department of Computer Science Ben-Gurion University of the Negev PoB 653, Beer-Sheva, 84105, Israel mcodish@cs.bgu.ac.il
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