Expressive Tractable Description Logics based on SROIQ Rules

Markus KrötzschMarkus Krötzsch, Sebastian RudolphSebastian Rudolph, Pascal HitzlerPascal Hitzler

Markus Krötzsch, Sebastian Rudolph, Pascal Hitzler
Expressive Tractable Description Logics based on SROIQ Rules
Technical Report, Universität Karlsruhe (TH), volume 1724, February 2008

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KurzfassungAbstract
We introduce description logic (DL) rules as a new rule-based formalism for knowledge representation in DLs. As a fragment of the Semantic Web Rule Language SWRL, DL rules allow for a tight integration with DL knowledge bases. In contrast to SWRL, however, the combination of DL rules with expressive description logics remains decidable, and we show that the DL SROIQ - the basis for the ongoing standardisation of OWL 1.1 - can completely internalise DL rules. On the other hand, DL rules capture many expressive features of SROIQ that are not available in simpler DLs yet. While reasoning in SROIQ is highly intractable, it turns out that DL rules can be introduced to various lightweight DLs without increasing their worst-case complexity. In particular, DL rules enable us to significantly extend the tractable DLs EL++ and DLP.
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Forschungsgruppe:Research Group: Computational LogicComputational Logic, Wissensbasierte SystemeKnowledge-Based Systems

@techreport{KRH2008,
  author      = {Markus Kr{\"{o}}tzsch and Sebastian Rudolph and Pascal Hitzler},
  title       = {Expressive Tractable Description Logics based on {SROIQ} Rules},
  institution = {Universit{\"{a}}t Karlsruhe (TH)},
  year        = {2008},
  month       = {February}
}