Termination

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Abstract

This survey describes methods for proving that systems of rewrite rules terminate. Illustrations of the use of path orderings and other simplification orderings in termination proofs are given. The effect of restrictions, such as linearity, on the form of rules is considered. In general, though, termination is an undecidable property of rewrite systems.

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Dershowitz, N. (1985). Termination. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 202 LNCS, pp. 180–224). Springer Verlag. https://doi.org/10.1007/3-540-15976-2_9

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