On relation between constraint answer set programming and satisfiability modulo theories

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 t...

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Bibliographic Details
Published in:Theory and practice of logic programming Vol. 17; no. 4; pp. 559 - 590
Main Authors: LIERLER, YULIYA, SUSMAN, BENJAMIN
Format: Journal Article
Language:English
Published: Cambridge, UK Cambridge University Press 01.07.2017
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ISSN:1471-0684, 1475-3081
Online Access:Get full text
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Summary: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.
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content type line 14
ISSN:1471-0684
1475-3081
DOI:10.1017/S1471068417000114