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Complexity, Graphs, and the Dependency Pair Method

Identifieur interne : 003A89 ( Istex/Corpus ); précédent : 003A88; suivant : 003A90

Complexity, Graphs, and the Dependency Pair Method

Auteurs : Nao Hirokawa ; Georg Moser

Source :

RBID : ISTEX:F5E933B0A1E5D83CB7E79366DC34D0E94719C250

Abstract

Abstract: This paper builds on recent efforts (Hirokawa and Moser, 2008) to exploit the dependency pair method for verifying feasible, i.e., polynomial runtime complexities of term rewrite systems automatically. We extend our earlier results by revisiting dependency graphs in the context of complexity analysis. The obtained new results are easy to implement and considerably extend the analytic power of our existing methods. The gain in power is even more significant when compared to existing methods that directly, i.e., without the use of transformations, induce feasible runtime complexities. We provide ample numerical data for assessing the viability of the method.

Url:
DOI: 10.1007/978-3-540-89439-1_45

Links to Exploration step

ISTEX:F5E933B0A1E5D83CB7E79366DC34D0E94719C250

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<abstract lang="en">Abstract: This paper builds on recent efforts (Hirokawa and Moser, 2008) to exploit the dependency pair method for verifying feasible, i.e., polynomial runtime complexities of term rewrite systems automatically. We extend our earlier results by revisiting dependency graphs in the context of complexity analysis. The obtained new results are easy to implement and considerably extend the analytic power of our existing methods. The gain in power is even more significant when compared to existing methods that directly, i.e., without the use of transformations, induce feasible runtime complexities. We provide ample numerical data for assessing the viability of the method.</abstract>
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