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Titlebook: Conditional Term Rewriting Systems; 1st International Wo S. Kaplan,J. -P. Jouannaud Conference proceedings 1988 Springer-Verlag Berlin Heid

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Alexey Spizhevoy,Victor Eruhimovde class of problems dealing with choices defined by rules. Thus, we get rid of the specific term pattern matching problem. We also develop other topics, in order to produce functional code for normalization, using a “by value” strategy.
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A completion procedure for conditional equations,dure has been designed to also handle nonreductive equations that are generated during completion. The paper in particular presents techniques for simplification of conditional equations and rules, so that the procedure terminates on more specifications. The correctness proofs which form a substanti
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Equational axiomatizations of if-then-else,extra operations, predicates and equations among those. We give similar completeness results for continuous algebras and program schemes (infinite trees) by the methods of algebraic semantics. These extensions provide a purely equational proof system to prove properties of functional programs over u
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