A Comparison of Well-Quasi Orders on Trees

Torben Æ. Mogensen

doi:10.4204/eptcs.129.3

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arXiv · 1309.5130

A Comparison of Well-Quasi Orders on Trees

Torben Æ. Mogensen

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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.

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Torben Æ. Mogensen. 2013-09-20. A Comparison of Well-Quasi Orders on Trees. https://doi.org/10.4204/eptcs.129.3

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