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A Constructive semantic characterization of aggregates in answer set programming

Published online by Cambridge University Press:  01 May 2007

TRAN CAO SON  and
ENRICO PONTELLI
TRAN CAO SON
Affiliation:
Department of Computer Science, New Mexico State University, NM, USA (e-mail: tson@cs.nmsu.edu, epontell@cs.nmsu.edu)
ENRICO PONTELLI
Affiliation:
Department of Computer Science, New Mexico State University, NM, USA (e-mail: tson@cs.nmsu.edu, epontell@cs.nmsu.edu)
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Abstract

This technical note describes a monotone and continuous fixpoint operator to compute the answer sets of programs with aggregates. The fixpoint operator relies on the notion of aggregate solution. Under certain conditions, this operator behaves identically to the three-valued immediate consequence operator ΦaggrP for aggregate programs, independently proposed in Pelov (2004) and Pelov et al. (2004). This operator allows us to closely tie the computational complexity of the answer set checking and answer sets existence problems to the cost of checking a solution of the aggregates in the program. Finally, we relate the semantics described by the operator to other proposals for logic programming with aggregates.

Keywords

aggregatesanswer set programmingsemantics
Type
Technical Note
Information
Theory and Practice of Logic Programming , Volume 7 , Issue 3 , May 2007 , pp. 355 - 375
Copyright
Copyright © Cambridge University Press 2007

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