Abstract
In 2006 Jambox, a termination prover developed by Endrullis, surprised the termination community by winning the string rewriting division and almost beating AProVE in the term rewriting division of the international termination competition. The success of Jambox for strings is partly due to a very special case of semantic labeling. In this paper we integrate this technique, which we call root-labeling, into the dependency pair framework. The result is a simple processor with help of which T T T 2 surprised the termination community in 2007 by producing the first automatically generated termination proof of a string rewrite system with non-primitive recursive complexity (Touzet, 1998). Unlike many other recent termination methods, the root-labeling processor is trivial to automate and completely unsuitable for producing human readable proofs.
This research is supported by FWF (Austrian Science Fund) project P18763.
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Sternagel, C., Middeldorp, A. (2008). Root-Labeling. 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_23
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DOI: https://doi.org/10.1007/978-3-540-70590-1_23
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