Abstract
We introduce a propositional encoding of the recursive path order with status (RPO). RPO is a combination of a multiset path order and a lexicographic path order which considers permutations of the arguments in the lexicographic comparison. Our encoding allows us to apply SAT solvers in order to determine whether a given term rewrite system is RPO-terminating. Furthermore, to apply RPO within the dependency pair framework, we combined our novel encoding for RPO with an existing encoding for argument filters. We implemented our contributions in the termination prover AProVE. Our experiments show that due to our encoding, combining termination provers with SAT solvers improves the performance of RPO-implementations by orders of magnitude.
Supported by the Deutsche Forschungsgemeinschaft DFG under grant GI 274/5-1.
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Schneider-Kamp, P., Thiemann, R., Annov, E., Codish, M., Giesl, J. (2007). Proving Termination Using Recursive Path Orders and SAT Solving. In: Konev, B., Wolter, F. (eds) Frontiers of Combining Systems. FroCoS 2007. Lecture Notes in Computer Science(), vol 4720. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74621-8_18
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DOI: https://doi.org/10.1007/978-3-540-74621-8_18
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