Titlebook: Conditional and Typed Rewriting Systems; 4th International Wo Nachum Dershowitz,Naomi Lindenstrauss Conference proceedings 1995 Springer-Ve

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Relative normalization in orthogonal expression reduction systems,ed redexes in a term . to lead to an .-normal form of . whenever there is one. Our relative neededness notion is based on tracing ., which are occurrences of contexts not containing . bound variable, rather than tracing redexes or subterms.

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On termination and confluence of conditional rewrite systems,result can be stated as follows: Any conditional TRS (CTRS) which is an innermost terminating overlay system such that all (conditional) critical pairs are joinable is complete, i.e., terminating and confluent.

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Scientific Foundation for Global Computing,rity of termination for disjoint CTRSs to constructor-sharing systems but also simplify the proofs considerably. Moreover, we refute a conjecture of Middeldorp [Mid93] which is related to the aforementioned results.

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