01393nas a2200181   4500008004100000245011800041210006900159490000600228520078700234653001201021653002201033653002301055653002101078100002301099700002201122700002001144856004701164       2012                        eng d00aType-Elimination-Based Reasoning for the Description Logic SHIQbs using Decision Diagrams and Disjunctive Datalog0 aTypeEliminationBased Reasoning for the Description Logic SHIQbs 0 v83 aWe 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.10adatalog10adecision diagrams10adescription logics10atype elimination1 aRudolph, Sebastian1 aKrötzsch, Markus1 aHitzler, Pascal  uhttp://dx.doi.org/10.2168/LMCS-8(1:12)2012