Rational term rewriting revisited: Decidability and confluence

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Abstract

We consider a variant of rational term rewriting as first introduced by Corradini et al., i.e., we consider rewriting of (infinite) terms with a finite number of different subterms. Motivated by computability theory, we show a number of decidability results related to the rewrite relation and prove an effective version of a confluence theorem for orthogonal systems. © 2012 Springer-Verlag.

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Aoto, T., & Ketema, J. (2012). Rational term rewriting revisited: Decidability and confluence. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7562 LNCS, pp. 172–186). https://doi.org/10.1007/978-3-642-33654-6_12

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