Extending the notion of preferred explanations for quantified constraint satisfaction problems

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Abstract

The Quantified Constraint Satisfaction Problem (QCSP) is a generalization of classical constraint satisfaction problem in which some variables can be universally quantified. This additional expressiveness can help model problems in which a subset of the variables take value assignments that are outside the control of the decision maker. Typical examples of such domains are game-playing, conformant planning and reasoning under uncertainty. In these domains decision makers need explanations when a QCSP does not admit a winning strategy.We extend our previous approach to defining preferences amongst the requirements of a QCSP by considering more general relaxation schemes. We also present key complexity results on the hardness of finding preferred conflicts of QCSPs under this extension of the notion of preference. This paper unifies work from the fields of constraint satisfaction, explanation generation, and reasoning under preferences and uncertainty.

Original languageEnglish
Title of host publicationTheoretical Aspects of Computing – ICTAC 2015 - 12th International Colloquium, Proceedings
EditorsCamilo Rueda, Frank D. Valencia, Frank D. Valencia, Martin Leucker
PublisherSpringer Verlag
Pages309-327
Number of pages19
ISBN (Print)9783319251493
DOIs
Publication statusPublished - 2015
Event12th International Colloquium on Theoretical Aspects of Computing, ICTAC 2015 - Cali, Colombia
Duration: 29 Oct 201531 Oct 2015

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume9399
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference12th International Colloquium on Theoretical Aspects of Computing, ICTAC 2015
Country/TerritoryColombia
CityCali
Period29/10/1531/10/15

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