Computational Complexity and Anytime Algorithm for Inconsistency Measurement

TitleComputational Complexity and Anytime Algorithm for Inconsistency Measurement
Publication TypeJournal Article
Year of Publication2010
AuthorsYue Ma, Guilin Qi, Guohui Xiao, Pascal Hitzler, Zuoquan Lin
JournalInternational Journal of Software and Informatics
Pagination3-21
Keywordsalgorithm, computational complexity, inconsistency measurement, multi-valued logic
Abstract

Measuring inconsistency degrees of inconsistent knowledge bases is an important problem as it provides context information for facilitating inconsistency handling. Many methods have been proposed to solve this problem and a main class of them is based on some kind of paraconsistent semantics. In this paper, we consider the computational aspects of inconsistency degrees of propositional knowledge bases under 4-valued semantics. We first give a complete analysis of the computational complexity of computing inconsistency degrees. As it turns out that computing the exact inconsistency degree is intractable, we then propose an anytime algorithm that provides tractable approximations of the inconsistency degree from above and below. We show that our algorithm satisfies some desirable properties and give experimental results of our implementation of the algorithm.

Full Text

Yue Ma, Guilin Qi, Guohui Xiao, Pascal Hitzler and Zuoquan Lin. 'Computational Complexity and Anytime Algorithm for Inconsistency Measurement.' International Journal of Software and Informatics, Volume: 4.1 2010: 3-21
research center: Knowledge Engineering Lab

publisher: Institute of Software, Chinese Academy of Sciences