Abstract
The dependency pair method is a powerful method for automatically proving termination of rewrite systems. When used with traditional simplification orders like LPO and KBO, argument filterings play a key role. In this paper we propose an encoding of argument filterings in propositional logic. By incorporating propositional encodings of simplification orders, the search for suitable argument filterings is turned into a satisfiability problem. Preliminary experimental results show that our logic-based approach is significantly faster than existing implementations.
This research is supported by FWF (Austrian Science Fund) project P18763. Some of the results in this paper were first announced in [14].
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Zankl, H., Hirokawa, N., Middeldorp, A. (2007). Constraints for Argument Filterings. In: van Leeuwen, J., Italiano, G.F., van der Hoek, W., Meinel, C., Sack, H., Plášil, F. (eds) SOFSEM 2007: Theory and Practice of Computer Science. SOFSEM 2007. Lecture Notes in Computer Science, vol 4362. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69507-3_50
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DOI: https://doi.org/10.1007/978-3-540-69507-3_50
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