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Erschienen in:
2003 | OriginalPaper | Buchkapitel
Termination of String Rewriting Rules That Have One Pair of Overlaps
verfasst von : Alfons Geser
Erschienen in: Rewriting Techniques and Applications
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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This paper presents a partial solution to the long standing open problem whether termination of one-rule string rewriting is decidable. Overlaps between the two sides of the rule play a central role in existing termination criteria. We characterize termination of all one-rule string rewriting systems that have one such overlap at either end. This both completes a result of Kurth and generalizes a result of Shikishima-Tsuji et al.