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Titlebook: Conditional and Typed Rewriting Systems; 2nd International CT S. Kaplan,M. Okada Conference proceedings 1991 Springer-Verlag Berlin Heidelb

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Prathap Siddavaatam,Reza Sedaghatlete reduction ordering, although such a rewrite system does trivially exist. We then describe a set of inference rules for a completion procedure, called linear completion, that solves the problem when the axioms are linear.
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Lecture Notes in Computer Sciencehttp://image.papertrans.cn/c/image/235214.jpg
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Conditional rewriting in focus,arlier for unconditional rewrite systems, is generalized for conditional systems. We also present a novel deduction method for first-order clauses called . which may be considered to be the first-order analogue of the rewriting operation. Like rewriting, contextual deduction uses pattern matching in
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Meta-rule synthesis from crossed rewrite systems,tic generation of meta-rules from syntactic conditions of divergence are proposed in this paper. We show that in a reasonably large class of divergent systems, equational rewriting is enough to simulate rewriting with meta-rules, but the full power of typed rewriting and conditional rewriting is nee
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An application of automated equational reasoning to many-valued logic, by J.Hsiang for the Boolean Algebra. The equivalence of our set of axioms with those given by Lukasiewicz himself is proved ., by resorting to the Automatic UKB-based Equational Theorem Prover .. These new axioms may be helpful for further equational reasoning in such logics, or for interpreting th
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Completion of first-order clauses with equality by strict superposition,ty. This paper improves these results by considering a more powerful framework for simplification and elimination of clauses. The framework gives general criteria under which simplification and elimination do not destroy the refutation completeness of the superposition calculus. One application is a
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