Perpetual reductions and strong normalization in orthogonal term rewriting systems:

Abstract: "We design a strategy that for any given term t in an Orthogonal Term Rewriting System (OTRS) constructs a longest reduction starting from t if t is strongly normalizable, and constructs an infinite reduction otherwise. We define some classes of OTRSs for which the strategy is easily...

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Bibliographic Details
Main Author: Khasidashvili, Zurab (Author)
Format: Book
Language:English
Published: Amsterdam 1993
Series:Centrum voor Wiskunde en Informatica <Amsterdam> / Department of Computer Science: Report CS 93,45
Subjects:
Summary:Abstract: "We design a strategy that for any given term t in an Orthogonal Term Rewriting System (OTRS) constructs a longest reduction starting from t if t is strongly normalizable, and constructs an infinite reduction otherwise. We define some classes of OTRSs for which the strategy is easily computable. We develop a method for finding the least upper bound of lengths of reductions starting from a strongly normalizable term. We give also some applications of our results."
Physical Description:11 S.

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