Extending Context-Sensitivity in Term Rewriting

Bernhard Gramlich
(Vienna University of Technology)
Felix Schernhammer
(Vienna University of Technology)

We propose a generalized version of context-sensitivity in term rewriting based on the notion of "forbidden patterns". The basic idea is that a rewrite step should be forbidden if the redex to be contracted has a certain shape and appears in a certain context. This shape and context is expressed through forbidden patterns. In particular we analyze the relationships among this novel approach and the commonly used notion of context-sensitivity in term rewriting, as well as the feasibility of rewriting with forbidden patterns from a computational point of view. The latter feasibility is characterized by demanding that restricting a rewrite relation yields an improved termination behaviour while still being powerful enough to compute meaningful results. Sufficient criteria for both kinds of properties in certain classes of rewrite systems with forbidden patterns are presented.

In Maribel Fernández: Proceedings Ninth International Workshop on Reduction Strategies in Rewriting and Programming (WRS 2009), Brasilia, Brazil, 28th June 2009, Electronic Proceedings in Theoretical Computer Science 15, pp. 56–68.
Published: 26th January 2010.

ArXived at: https://dx.doi.org/10.4204/EPTCS.15.5 bibtex PDF

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