A tableau algorithm for paraconsistent and nonmonotonic reasoning in description logic-based system

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Title A tableau algorithm for paraconsistent and nonmonotonic reasoning in description logic-based system
Author Zhang, Xiaowang; Lin, Zuoquan; Wang, Kewen
Publication Title Proceedings 13th Asia-PacificWeb Conference: Web Technologies and Applications
Editor Xiaoyong Du, Wenfei Fan, Jianmin Wang, Zhiyong Peng, Mohamed A. Sharaf
Year Published 2011
Place of publication United Kingdom
Publisher Springer
Abstract This paper proposes a paraconsistent and nonmonotonic extension of description logic by planting a nonmonotonic mechanism called \emph{minimal inconsistency} in paradoxical description logics, which is a paraconsistent version of description logics. A precedence relation between two paradoxical models of knowledge bases is firstly introduced to obtain minimally paradoxical models by filtering those models which contain more inconsistencies than others. A new entailment relationship between a KB and an axiom characterized by minimal paradoxical models is applied to characterize the semantics of a paraconsistent and nonmonotonic description logic. An important advantage of our adaptation is simultaneously overtaking proverbial shortcomings of existing two kinds extensions of description logics: the weak inference power of paraconsistent description logics and the incapacity of nonmonotonic description logics in handling inconsistencies. Moreover, our paraconsistent and nonmonotonic extension not only preserves the syntax of description logic but also maintains the decidability of basic reasoning problems in description logics. Finally, we develop a sound and complete tableau algorithm for instance checking with the minimally paradoxical semantics.
Peer Reviewed Yes
Published Yes
Alternative URI http://dx.doi.org/10.1007/978-3-642-20291-9_36
Copyright Statement Copyright 2011 Springer Berlin / Heidelberg. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. The original publication is available at www.springerlink.com
ISBN 9783642202902
Conference name APWeb 2011
Location Beijing, China
Date From 2011-04-18
Date To 2011-04-20
URI http://hdl.handle.net/10072/42801
Date Accessioned 2011-09-28
Language en_US
Research Centre Institute for Integrated and Intelligent Systems
Faculty Faculty of Science, Environment, Engineering and Technology
Subject Artificial Intelligence and Image Processing
Publication Type Conference Publications (Full Written Paper - Refereed)
Publication Type Code e1

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