A comparison of well-quasi orders on trees

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Abstract

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.

Original languageEnglish
Title of host publicationSemantics, Abstract Interpretation, and Reasoning about Programs : essays dedicated to David A. Schmidt on the occasion of his sixtieth birthday, Manhattan, Kansas, USA, 19-20th September 2013
EditorsAnindya Banerjee, Olivier Danvy, Kyung-Goo Doh, John Hatcliff
Number of pages11
Publication date2013
Pages30-40
DOIs
Publication statusPublished - 2013
SeriesElectronic Proceedings in Theoretical Computer Science
Volume129
ISSN2075-2180

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