Confluence without termination via parallel critical pairs

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Abstract

We present a new criterion for confluence of (possibly) nonterminating left-linear term rewriting systems. The criterion is based on certain strong joinability properties of parallel critical pairs. We show how this criterion relates to other well-known results, consider some speciM cases and discuss some possible extensions.

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Gramlich, B. (1996). Confluence without termination via parallel critical pairs. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1059, pp. 211–225). Springer Verlag. https://doi.org/10.1007/3-540-61064-2_39

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