Description Logic Reasoning with Decision Diagrams

Compiling \(\mathcal{SHIQ}\) to Disjunctive Datalog
  • Sebastian Rudolph
  • Markus Krötzsch
  • Pascal Hitzler
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5318)


We propose a novel method for reasoning in the description logic \(\mathcal{SHIQ}\). After a satisfiability preserving transformation from \(\mathcal{SHIQ}\) to the description logic \(\mathcal{ALCI}b\), the obtained \(\mathcal{ALCI}b\) Tbox \(\mathcal{T}\) is converted into an ordered binary decision diagram (OBDD) which represents a canonical model for \(\mathcal{T}\). This OBDD is turned into a disjunctive datalog program that can be used for Abox reasoning. The algorithm is worst-case optimal w.r.t. data complexity, and admits easy extensions with DL-safe rules and ground conjunctive queries.


Boolean Function Description Logic Binary Decision Diagram Conjunctive Query Negation Normal Form 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Sebastian Rudolph
    • 1
  • Markus Krötzsch
    • 1
  • Pascal Hitzler
    • 1
  1. 1.Institut AIFBUniversität KarlsruheGermany

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