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Reports (Research Report) Year : 1997

On Semi-Completeness of Term Rewriting Systems

Abstract

We investigate the question whether semi-completeness, i.e., weak termination plus confluence, of term rewriting systems is preserved under the normalization of right-hand sides. We give a simple counterexample showing that in general this transformation neither preserves weak termination nor (local) confluence. Moreover we present two conditions which are sufficient for the preservation of semi-completeness. In particular, we show that (almost) orthogonal systems enjoy this preservation property.
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Dates and versions

inria-00073362 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00073362 , version 1

Cite

Bernhard Gramlich. On Semi-Completeness of Term Rewriting Systems. [Research Report] RR-3327, INRIA. 1997, pp.11. ⟨inria-00073362⟩
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