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Preliminary Report
DOI: 10.4230/LIPIcs.ICLP.2012.61
Stable Models of Formulas with Generalized Quantifiers (Preliminary Report)

Authors: Joohyung Lee and Yunsong Meng

Published in: LIPIcs, Volume 17, Technical Communications of the 28th International Conference on Logic Programming (ICLP'12) (2012)

Abstract
Applications of answer set programming motivated various extensions of the stable model semantics, for instance, to allow aggregates or to facilitate interface with external ontology descriptions. We present a uniform, reductive view on these extensions by viewing them as special cases of formulas with generalized quantifiers. This is done by extending the first-order stable model semantics by Ferraris, Lee and Lifschitz to account for generalized quantifiers and then by reducing the individual extensions to this formalism.
Cite as

Joohyung Lee and Yunsong Meng. Stable Models of Formulas with Generalized Quantifiers (Preliminary Report). In Technical Communications of the 28th International Conference on Logic Programming (ICLP'12). Leibniz International Proceedings in Informatics (LIPIcs), Volume 17, pp. 61-71, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2012)

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@InProceedings{lee_et_al:LIPIcs.ICLP.2012.61,
  author =	{Lee, Joohyung and Meng, Yunsong},
  title =	{{Stable Models of Formulas with Generalized Quantifiers}},
  booktitle =	{Technical Communications of the 28th International Conference on Logic Programming (ICLP'12)},
  pages =	{61--71},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-43-9},
  ISSN =	{1868-8969},
  year =	{2012},
  volume =	{17},
  editor =	{Dovier, Agostino and Santos Costa, V{\'\i}tor},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.ICLP.2012.61},
  URN =		{urn:nbn:de:0030-drops-36105},
  doi =		{10.4230/LIPIcs.ICLP.2012.61},
  annote =	{Keywords: answer set programming, stable model semantics, generalized quantifiers}
}
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