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On relation between constraint answer set programming and satisfiability modulo theories*

Published online by Cambridge University Press:  28 June 2017

YULIYA LIERLER  and
BENJAMIN SUSMAN
YULIYA LIERLER
Affiliation:
Department of Computer Science, University of Nebraska at Omaha, Omaha, NE 68182, USA (e-mails: ylierler@unomaha.edu, bsusman@unomaha.edu)
BENJAMIN SUSMAN
Affiliation:
Department of Computer Science, University of Nebraska at Omaha, Omaha, NE 68182, USA (e-mails: ylierler@unomaha.edu, bsusman@unomaha.edu)
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Abstract

Constraint answer set programming is a promising research direction that integrates answer set programming with constraint processing. It is often informally related to the field of satisfiability modulo theories. Yet, the exact formal link is obscured as the terminology and concepts used in these two research areas differ. In this paper, we connect these two research areas by uncovering the precise formal relation between them. We believe that this work will boost the cross-fertilization of the theoretical foundations and the existing solving methods in both areas. As a step in this direction, we provide a translation from constraint answer set programs with integer linear constraints to satisfiability modulo linear integer arithmetic that paves the way to utilizing modern satisfiability modulo theories solvers for computing answer sets of constraint answer set programs.

Keywords

constraint answer set programmingconstraint satisfaction processingsatisfiability modulo theories
Type
Regular Papers
Information
Theory and Practice of Logic Programming , Volume 17 , Issue 4 , July 2017 , pp. 559 - 590
Copyright
Copyright © Cambridge University Press 2017 

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Footnotes

*

This is an extended version of the paper that appeared at IJCAI-2016 (Lierler and Susman 2016)

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