Type-Elimination-Based Reasoning for the Description Logic SHIQbs using Decision Diagrams and Disjunctive Datalog

TitleType-Elimination-Based Reasoning for the Description Logic SHIQbs using Decision Diagrams and Disjunctive Datalog
Publication TypeJournal Article
Year of Publication2012
AuthorsRudolph, S, Krötzsch, M, Hitzler, P
JournalLogical Methods in Computer Science
Volume8
Keywordsdatalog, decision diagrams, description logics, type elimination
Abstract

We propose a novel, type-elimination-based method for standard reasoning in the description logic SHIQbs extended by DL-safe rules. To this end, we first establish a knowledge compilation method converting the terminological part of an ALCIb knowledge base into an ordered binary decision diagram (OBDD) that represents a canonical model. This OBDD can in turn be transformed into disjunctive Datalog and merged with the assertional part of the knowledge base in order to perform combined reasoning. In order to leverage our technique for full SHIQbs, we provide a stepwise reduction from SHIQbs to ALCIb that preserves satisfiability and entailment of positive and negative ground facts. The proposed technique is shown to be worst-case optimal w.r.t. combined and data complexity.

URLhttp://dx.doi.org/10.2168/LMCS-8(1:12)2012
DOI10.2168/LMCS-8(1:12)2012