License: Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported license (CC BY-NC-ND 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.CSL.2011.352
URN: urn:nbn:de:0030-drops-32424
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2011/3242/
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Komendantskaya, Ekaterina ; Power, John

Coalgebraic Derivations in Logic Programming

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Abstract

Coalgebra may be used to provide semantics for SLD-derivations, both finite and infinite. We first give such semantics to classical SLD-derivations, proving results such as adequacy, soundness and completeness. Then, based upon coalgebraic semantics, we propose a new sound and complete algorithm for parallel derivations. We analyse this new algorithm in terms of the Theory of Observables, and we prove correctness and full abstraction results.

BibTeX - Entry

@InProceedings{komendantskaya_et_al:LIPIcs:2011:3242,
  author =	{Ekaterina Komendantskaya and John Power},
  title =	{{Coalgebraic Derivations in Logic Programming}},
  booktitle =	{Computer Science Logic (CSL'11) - 25th International Workshop/20th Annual Conference of the EACSL},
  pages =	{352--366},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-32-3},
  ISSN =	{1868-8969},
  year =	{2011},
  volume =	{12},
  editor =	{Marc Bezem},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2011/3242},
  URN =		{urn:nbn:de:0030-drops-32424},
  doi =		{10.4230/LIPIcs.CSL.2011.352},
  annote =	{Keywords: Logic programming, SLD-resolution, concurrency, coinduction, Lawvere theoriesm, coinductive logic programming, concurrent logic programming}
}

Keywords: Logic programming, SLD-resolution, concurrency, coinduction, Lawvere theoriesm, coinductive logic programming, concurrent logic programming
Collection: Computer Science Logic (CSL'11) - 25th International Workshop/20th Annual Conference of the EACSL
Issue Date: 2011
Date of publication: 31.08.2011

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