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When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ICLP.2010.202
URN: urn:nbn:de:0030-drops-25981
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2010/2598/
Wernhard, Christoph
Circumscription and Projection as Primitives of Logic Programming
Abstract
KWe pursue a representation of logic programs as classical first-order sentences. Different semantics for logic programs can then be expressed by the way in which they are wrapped into - semantically defined - operators for circumscription and projection. (Projection is a generalization of second-order quantification.) We demonstrate this for the stable model semantics, Clark's completion and a three-valued semantics based on the Fitting operator. To represent the latter, we utilize the polarity sensitiveness of projection, in contrast to second-order quantification, and a variant of circumscription that allows to express predicate minimization in parallel with maximization. In accord with the aim of an integrated view on different logic-based representation techniques, the material is worked out on the basis of first-order logic with a Herbrand semantics.
BibTeX - Entry
@InProceedings{wernhard:LIPIcs:2010:2598,
author = {Christoph Wernhard},
title = {{Circumscription and Projection as Primitives of Logic Programming}},
booktitle = {Technical Communications of the 26th International Conference on Logic Programming},
pages = {202--211},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-939897-17-0},
ISSN = {1868-8969},
year = {2010},
volume = {7},
editor = {Manuel Hermenegildo and Torsten Schaub},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2010/2598},
URN = {urn:nbn:de:0030-drops-25981},
doi = {10.4230/LIPIcs.ICLP.2010.202},
annote = {Keywords: }
}
Collection: |
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Technical Communications of the 26th International Conference on Logic Programming |
Issue Date: |
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2010 |
Date of publication: |
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25.06.2010 |