A Measure of Arbitrariness in Abductive Explanations

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. To appear in Theory and Practice of Logic Programming (TPLP).

DOI: 10.1017/S1471068414000271

Cite this paper

@article{Caroprese2014AMO, title={A Measure of Arbitrariness in Abductive Explanations}, author={Luciano Caroprese and Irina Trubitsyna and Miroslaw Truszczynski and Ester Zumpano}, journal={TPLP}, year={2014}, volume={14}, pages={665-679} }