A Comparison of Well-Quasi Orders on Trees

Well-quasi orders such as homeomorphic embedding are commonly used to ensure termination of program analysis and program transformation, in particular supercompilation. We compare eight well-quasi orders on how discriminative they are and their computational complexity. The studied well-quasi orders...

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Main Author: Torben Æ. Mogensen
Format: Article
Language:English
Published: Open Publishing Association 2013-09-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1309.5130v1
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spelling doaj-9a7a8fb296ef479f952701d1af37ad342020-11-24T22:27:56ZengOpen Publishing AssociationElectronic Proceedings in Theoretical Computer Science2075-21802013-09-01129Festschrift for Dave Schmidt304010.4204/EPTCS.129.3A Comparison of Well-Quasi Orders on TreesTorben Æ. MogensenWell-quasi orders such as homeomorphic embedding are commonly used to ensure termination of program analysis and program transformation, in particular supercompilation. We compare eight well-quasi orders on how discriminative they are and their computational complexity. The studied well-quasi orders comprise two very simple examples, two examples from literature on supercompilation and four new proposed by the author. We also discuss combining several well-quasi orders to get well-quasi orders of higher discriminative power. This adds 19 more well-quasi orders to the list.http://arxiv.org/pdf/1309.5130v1
collection DOAJ
language English
format Article
sources DOAJ
author Torben Æ. Mogensen
spellingShingle Torben Æ. Mogensen
A Comparison of Well-Quasi Orders on Trees
Electronic Proceedings in Theoretical Computer Science
author_facet Torben Æ. Mogensen
author_sort Torben Æ. Mogensen
title A Comparison of Well-Quasi Orders on Trees
title_short A Comparison of Well-Quasi Orders on Trees
title_full A Comparison of Well-Quasi Orders on Trees
title_fullStr A Comparison of Well-Quasi Orders on Trees
title_full_unstemmed A Comparison of Well-Quasi Orders on Trees
title_sort comparison of well-quasi orders on trees
publisher Open Publishing Association
series Electronic Proceedings in Theoretical Computer Science
issn 2075-2180
publishDate 2013-09-01
description Well-quasi orders such as homeomorphic embedding are commonly used to ensure termination of program analysis and program transformation, in particular supercompilation. We compare eight well-quasi orders on how discriminative they are and their computational complexity. The studied well-quasi orders comprise two very simple examples, two examples from literature on supercompilation and four new proposed by the author. We also discuss combining several well-quasi orders to get well-quasi orders of higher discriminative power. This adds 19 more well-quasi orders to the list.
url http://arxiv.org/pdf/1309.5130v1
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