On the adequacy of graph rewriting for simulating term rewriting:

Abstract: "Several authors have investigated the correspondence between graph rewriting and term rewriting. Almost invariably they have considered only acyclic graphs. Yet cyclic graphs naturally arise from certain optimisations in implementing functional languages. They correspond to infinite...

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Bibliographic Details
Format: Book
Language:English
Published: Amsterdam 1992
Series:Centrum voor Wiskunde en Informatica <Amsterdam> / Department of Computer Science: Report CS 92,4
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Summary:Abstract: "Several authors have investigated the correspondence between graph rewriting and term rewriting. Almost invariably they have considered only acyclic graphs. Yet cyclic graphs naturally arise from certain optimisations in implementing functional languages. They correspond to infinite terms, and their reductions correspond to transfinite term reduction sequences, which have recently received detailed attention. We first establish a close correspondence between finitary acyclic graph rewriting and finitary term rewriting, and between finitary cyclic graph rewriting and transfinite rational term rewriting. Surprisingly, the correspondence breaks down for general transfinite rewriting
We present an example showing that transfinite term rewriting is strictly more powerful than transfinite graph rewriting.
Physical Description:18 S.

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