Relative undecidability in term rewriting

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Abstract

For two hierarchies of properties of term rewriting systems related to confluence and termination, respectively, we prove relative undecidability: for implications X ⇒ Y in the hierarchies the property X is undecidable for term rewriting systems satisfying Y.

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Geser, A., Middeldorp, A., Ohlebusch, E., & Zantema, H. (1997). Relative undecidability in term rewriting. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1258, pp. 150–166). Springer Verlag. https://doi.org/10.1007/3-540-63172-0_37

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