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URN: urn:nbn:de:0030-drops-2598
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Marek, Victor W. ; Remmel, Jeffrey B.

Normal Form Theorem for Logic Programs with Cardinality Constraints

05171.MarekVictor.Paper.259.pdf (0.4 MB)


We discuss proof schemes, a kind of context-dependent proofs for logic programs. We show usefullness of these constructs both in the context of normal logic programs and their generalizations due to Niemela and collaborators. As an application we show the following result. For every cardinality-constraint logic program P there is a logic program P´ with the same heads, but with bodies consisting of atoms and negated atoms such that P and P´ have same stable models. It is worth noting that another proof of same result can be obtained from the results by Lifschitz and collaborators.

BibTeX - Entry

  author =	{Victor W. Marek and Jeffrey B. Remmel},
  title =	{Normal Form Theorem for Logic Programs with Cardinality Constraints},
  booktitle =	{Nonmonotonic Reasoning, Answer Set Programming and Constraints},
  year =	{2005},
  editor =	{Gerhard Brewka and Ilkka Niemel{\"a} and Torsten Schaub and Miroslaw Truszczynski},
  number =	{05171},
  series =	{Dagstuhl Seminar Proceedings},
  ISSN =	{1862-4405},
  publisher =	{Internationales Begegnungs- und Forschungszentrum f{\"u}r Informatik (IBFI), Schloss Dagstuhl, Germany},
  address =	{Dagstuhl, Germany},
  URL =		{},
  annote =	{Keywords: Proof scheme, cardinality constraints}

Keywords: Proof scheme, cardinality constraints
Seminar: 05171 - Nonmonotonic Reasoning, Answer Set Programming and Constraints
Issue Date: 2005
Date of publication: 14.09.2005

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