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Logic programs with monotone abstract constraint atoms*

Published online by Cambridge University Press:  01 March 2008

VICTOR W. MAREK ,
ILKKA NIEMELÄ  and
MIROSŁAW TRUSZCZYŃSKI
VICTOR W. MAREK
Affiliation:
Department of Computer Science, University of Kentucky, Lexington, KY 40506, USA (e-mail: marek@cs.uky.edu)
ILKKA NIEMELÄ
Affiliation:
Department of Computer Science and Engineering, Helsinki University of Technology, P.O. Box 5400, FI-02015 TKK, Finland (e-mail: Ilkka.Niemela@tkk.fi)
MIROSŁAW TRUSZCZYŃSKI
Affiliation:
Department of Computer Science, University of Kentucky, Lexington, KY 40506, USA (e-mail: mirek@cs.uky.edu)
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Abstract

We introduce and study logic programs whose clauses are built out of monotone constraint atoms. We show that the operational concept of the one-step provability operator generalizes to programs with monotone constraint atoms, but the generalization involves nondeterminism. Our main results demonstrate that our formalism is a common generalization of (1) normal logic programming with its semantics of models, supported models and stable models, (2) logic programming with weight atoms lparse programs) with the semantics of stable models, as defined by Niemelä, Simons and Soininen, and (3) of disjunctive logic programming with the possible-model semantics of Sakama and Inoue.

Keywords

Logic programsstable modelsconstraints
Type
Regular Papers
Information
Theory and Practice of Logic Programming , Volume 8 , Issue 2 , March 2008 , pp. 167 - 199
Copyright
Copyright © Cambridge University Press 2007

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