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Innermost Termination of Rewrite Systems by Labeling

René Thiemann and Aart Middeldorp

Proceedings of the 7th International Workshop on Reduction Strategies in Rewriting and Programming (WRS 2007), Electronic Notes in Theoretical Computer Science 204, pp. 3 – 19, 2008.

Abstract

Semantic labeling is a powerful transformation technique for proving termination of term rewrite systems. The semantic part is given by a model or a quasi-model of the rewrite rules. A variant of semantic labeling is predictive labeling where the quasi-model condition is only required for the usable rules. In this paper we investigate how semantic and predictive labeling can be used to prove innermost termination. Moreover, we show how to reduce the set of usable rules for predictive labeling even further, both in the termination and the innermost termination case.

 

  PDF |    doi:10.1016/j.entcs.2008.03.050  |  © 2008 Elsevier B.V.

BibTeX 

@inproceedings{RTAM-WRS07,
author = "Ren{\'e} Thiemann and Aart Middeldorp",
title = "Innermost Termination of Rewrite Systems by Labeling",
booktitle = "Proceedings of the 7th International Workshop on
Reduction Strategies in Rewriting and Programming",
series = "Electronic Notes in Theoretical Computer Science",
volume = 204,
pages = "3--19",
year = 2008
}
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