Titlebook: Conditional Term Rewriting Systems; Third International Michaël Rusinowitch,Jean-Luc Rémy Conference proceedings 1993 Springer-Verlag Berl

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Lecture Notes in Computer Sciencency turns out to be a generalization of direct sum modularity. It is a more powerful tool for proving confluence and normalization properties. Strong normalization is persistent for the class of term rewriting systems for which not both duplicating rules and collapsing rules occur, generalizing a si

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Luis F. Gutiérrez,Sergio Vargas,Félix Ramos interpretations. A classification of types of termination is proposed built on properties in the semantic level. A transformation on term rewriting systems eliminating distributive rules is introduced. Using this distribution elimination a new termination proof of SUBST from [10] is given.

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Transactions on Computational Science XXIVon is explicit here because induction orderings must be integrated into the specification. However, the proofs need less guidance if the specification is ground confluent and strongly terminating. Calculi for verifying these conditions are presented along with a list of useful applications.

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Ordnance

https://doi.org/10.1007/978-3-662-54563-8y. Technically proofs by consistency will be similar to proofs by case analysis over the term structure. As our method also allows to prove sufficient-completeness of function definitions in parallel with proving an inductive theorem we need not distinguish between constructors and defined functions

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Alok Kumar Singh Kushwaha,Rajeev Srivastavaieve this to be a useful method for many practical applications involving clausal reasoning where the theory stays constant and is used repeatedly for proving many goals. Program synthesis (see [3]) is such an application. We have implemented a prototype completion procedure in Prolog and used it fo

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