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DOI: 10.4230/LIPIcs.RTA.2012.176
URN: urn:nbn:de:0030-drops-34924
URL: http://drops.dagstuhl.de/opus/volltexte/2012/3492/
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Fuhs, Carsten ; Kop, Cynthia

Polynomial Interpretations for Higher-Order Rewriting

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Abstract

The termination method of weakly monotonic algebras, which has been defined for higher-order rewriting in the HRS formalism, offers a lot of power, but has seen little use in recent years. We adapt and extend this method to the alternative formalism of algebraic functional systems, where the simply-typed lambda-calculus is combined with algebraic reduction. Using this theory, we define higher-order polynomial interpretations, and show how the implementation challenges of this technique can be tackled. A full implementation is provided in the termination tool Wanda.

BibTeX - Entry

@InProceedings{fuhs_et_al:LIPIcs:2012:3492,
  author =	{Carsten Fuhs and Cynthia Kop},
  title =	{{Polynomial Interpretations for Higher-Order Rewriting}},
  booktitle =	{23rd International Conference on Rewriting Techniques and Applications (RTA'12) },
  pages =	{176--192},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-38-5},
  ISSN =	{1868-8969},
  year =	{2012},
  volume =	{15},
  editor =	{Ashish Tiwari},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2012/3492},
  URN =		{urn:nbn:de:0030-drops-34924},
  doi =		{http://dx.doi.org/10.4230/LIPIcs.RTA.2012.176},
  annote =	{Keywords: higher-order rewriting, termination, polynomial interpretations, weakly monotonic algebras, automation}
}

Keywords: higher-order rewriting, termination, polynomial interpretations, weakly monotonic algebras, automation
Seminar: 23rd International Conference on Rewriting Techniques and Applications (RTA'12)
Issue Date: 2012
Date of publication: 15.05.2012


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