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Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/DagSemProc.07401.3
URN: urn:nbn:de:0030-drops-12469
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2007/1246/
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Thiemann, René ;
Giesl, Jürgen ;
Schneider-Kamp, Peter
Decision Procedures for Loop Detection
Abstract
The dependency pair technique is a powerful modular method for automated termination proofs of term rewrite systems. We first show that dependency pairs are also suitable for disproving termination: loops can be detected more easily.
In a second step we analyze how to disprove innermost termination. Here, we present a novel procedure to decide whether a given loop is an innermost loop.
All results have been implemented in the termination prover AProVE.
BibTeX - Entry
@InProceedings{thiemann_et_al:DagSemProc.07401.3,
author = {Thiemann, Ren\'{e} and Giesl, J\"{u}rgen and Schneider-Kamp, Peter},
title = {{Decision Procedures for Loop Detection}},
booktitle = {Deduction and Decision Procedures},
pages = {1--17},
series = {Dagstuhl Seminar Proceedings (DagSemProc)},
ISSN = {1862-4405},
year = {2007},
volume = {7401},
editor = {Franz Baader and Byron Cook and J\"{u}rgen Giesl and Robert Nieuwenhuis},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/opus/volltexte/2007/1246},
URN = {urn:nbn:de:0030-drops-12469},
doi = {10.4230/DagSemProc.07401.3},
annote = {Keywords: Non-Termination, Decision Procedures, Term Rewriting, Dependency Pairs}
}
Keywords: |
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Non-Termination, Decision Procedures, Term Rewriting, Dependency Pairs |
Collection: |
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07401 - Deduction and Decision Procedures |
Issue Date: |
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2007 |
Date of publication: |
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29.11.2007 |