Abstract
We present a new approach for termination proofs that uses polynomial interpretations (with possibly negative coefficients) together with the “maximum” function. To obtain a powerful automatic method, we solve two main challenges: (1) We show how to adapt the latest developments in the dependency pair framework to our setting. (2) We show how to automate the search for such interpretations by integrating “ max ” into recent SAT-based methods for polynomial interpretations. Experimental results support our approach.
Supported by the DFG (Deutsche Forschungsgemeinschaft) under grant GI 274/5-2 and the FWF (Austrian Science Fund) project P18763.
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Fuhs, C., Giesl, J., Middeldorp, A., Schneider-Kamp, P., Thiemann, R., Zankl, H. (2008). Maximal Termination. In: Voronkov, A. (eds) Rewriting Techniques and Applications. RTA 2008. Lecture Notes in Computer Science, vol 5117. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70590-1_8
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DOI: https://doi.org/10.1007/978-3-540-70590-1_8
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