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A Measure of Arbitrariness in Abductive Explanations

Published online by Cambridge University Press:  21 July 2014

LUCIANO CAROPRESE ,
IRINA TRUBITSYNA ,
Mirosław Truszczyński  and
Ester Zumpano
LUCIANO CAROPRESE
Affiliation:
DIMES, Università della Calabria, Cosenza, Italy (e-mail: [email protected], [email protected])
IRINA TRUBITSYNA
Affiliation:
DIMES, Università della Calabria, Cosenza, Italy (e-mail: [email protected], [email protected])
Mirosław Truszczyński
Affiliation:
Department of Computer Science, University of Kentucky, Lexington, USA (e-mail: [email protected])
Ester Zumpano
Affiliation:
DIMES, Università della Calabria, Cosenza, Italy (e-mail: [email protected])
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Abstract

We study the framework of abductive logic programming extended with integrity constraints. For this framework, we introduce a new measure of the simplicity of an explanation based on its degree of arbitrariness: the more arbitrary the explanation, the less appealing it is, with explanations having no arbitrariness — they are called constrained — being the preferred ones. In the paper, we study basic properties of constrained explanations. For the case when programs in abductive theories are stratified we establish results providing a detailed picture of the complexity of the problem to decide whether constrained explanations exist.

Type
Regular Papers
Information
Theory and Practice of Logic Programming , Volume 14 , Special Issue 4-5: 30th International Conference on Logic Programming , July 2014 , pp. 665 - 679
Copyright
Copyright © Cambridge University Press 2014 

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A Measure of Arbitrariness in Abductive Explanations

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