TY - JOUR T1 - Type-Elimination-Based Reasoning for the Description Logic SHIQbs using Decision Diagrams and Disjunctive Datalog JF - Logical Methods in Computer Science Y1 - 2012 A1 - Sebastian Rudolph A1 - Markus Krötzsch A1 - Pascal Hitzler KW - datalog KW - decision diagrams KW - description logics KW - type elimination AB - 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. VL - 8 UR - http://dx.doi.org/10.2168/LMCS-8(1:12)2012 ER -