Abstract
Most methods for termination analysis of term rewrite systems (TRSs) essentially try to find arguments of functions that decrease in recursive calls. However, they fail if the reason for termination is that an argument is increased in recursive calls repeatedly until it reaches a bound. In this paper, we solve that problem and show how to prove innermost termination of TRSs with bounded increase automatically.
Supported by the Deutsche Forschungsgemeinschaft DFG under grant GI 274/5-1 and by the DFG Research Training Group 1298 (AlgoSyn).
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Giesl, J., Thiemann, R., Swiderski, S., Schneider-Kamp, P. (2007). Proving Termination by Bounded Increase. In: Pfenning, F. (eds) Automated Deduction – CADE-21. CADE 2007. Lecture Notes in Computer Science(), vol 4603. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73595-3_33
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DOI: https://doi.org/10.1007/978-3-540-73595-3_33
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