| G. Huet. Confluent reductions: abstract perperties and applications to term rewriting systems. JACM, 27(4):797--821, 1980. |
....rewriting, and formula transformations as simplification rules, along with two loop rules to handle loops. It turns out that rewriting by a rewrite system of this kind always terminates at a unique formula, independent of any order of rewriting. In the literature of rewrite systems (see, e.g. [5, 13]) this latter property is called the confluence property, and confluent and terminating systems are called canonical systems. A canonical system guarantees the termination at a unique expression independent of the order of rewriting. It is interesting to remark here that we could implement a form ....
G. Huet. Confluent reductions: abstract perperties and applications to term rewriting systems. JACM, 27(4):797--821, 1980.
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