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arXiv · 1405.2494

A Measure of Arbitrariness in Abductive Explanations

Luciano Caroprese·Irina Trubitsyna·Miroslaw Truszczynski·Ester Zumpano
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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 \emph{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. (To appear in Theory and Practice of Logic Programming (TPLP).)

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Luciano Caroprese, Irina Trubitsyna, Miroslaw Truszczynski, Ester Zumpano. 2014-05-11. A Measure of Arbitrariness in Abductive Explanations. https://doi.org/10.1017/s1471068414000271

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