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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)

Abstract

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.

Keywords

Boolean Function Description Logic Binary Decision Diagram Conjunctive Query Negation Normal Form 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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