Termination of Rewrite Systems with Shallow Right-Linear, Collapsing, and Right-Ground Rules%
Guillem Godoy and Ashish Tiwari
Presented at
CADE 2005, Tallinn, Estonia,
July 22-27, 2005.
© Springer-Verlag. The final version will appear at the
Springer LNCS proceedings site
or the Springer LNCS site.
Abstract
We show that termination is decidable for rewrite systems that contain
shallow and right-linear rules,
collapsing rules, and
right-ground rules.
This class of rewrite systems is expressive enough to include
interesting rules.
Our proof uses the fact that this class of rewrite systems
is known to be regularity-preserving and hence
the reachability and joinability problems are decidable.
Decidability
of termination is obtained by analyzing the nonterminating derivations.
postscript or
pdf.
Springer link will appear here soon.
Slides
Slides of the presentation at CADE'05 may be put up here later ...
BibTeX Entry
@inproceedings{GodoyTiwari05:CADE,
author = "G. Goody and A. Tiwari",
title = "Termination of Rewrite Systems with Shallow Right-Linear, Collapsing, and Right-Ground Rules",
booktitle = "20th Intl. Conf. on Automated Deduction, CADE",
EDITOR = "Nieuwenhuis, R.",
pages = "164--176",
series = {LNCS},
volume = 3632,
PUBLISHER = {Springer},
MONTH = jul,
YEAR = 2005
}
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