Hybrid Unification in the Description Logic EL

Franz BaaderFranz Baader, Oliver Fernández GilOliver Fernández Gil, Barbara MorawskaBarbara Morawska

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Franz Baader, Oliver Fernández Gil, Barbara Morawska
Hybrid Unification in the Description Logic EL
Technical Report, Chair of Automata Theory, Institute of Theoretical Computer Science, Technische Universität Dresden, volume 13-07, 2013. LTCS-Report

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KurzfassungAbstract
Unification in Description Logics (DLs) has been proposed as an inference
service that can, for example, be used to detect redundancies in ontologies. For the DL EL, which is used to define several large biomedical ontologies, unification is NP-complete. However, the unification algorithms for EL developed until recently could not deal with ontologies containing general concept inclusions (GCIs). In a series of recent papers we have made some progress towards addressing this problem, but the ontologies the developed unification algorithms can deal with need to satisfy a certain cycle restriction. In the present paper, we follow a different approach. Instead of restricting the input ontologies, we generalize the notion of unifiers to so-called hybrid unifiers. Whereas classical unifiers can be viewed as acyclic TBoxes, hybrid unifiers are cyclic TBoxes, which are interpreted together with the ontology of the input using a hybrid semantics that combines fixpoint and declarative semantics. We show that hybrid unification in EL is NP-complete and introduce a
goal-oriented algorithm for computing hybrid unifiers.
Bemerkung: Note: See \url{http://lat.inf.tu-dresden.de/research/reports.html}.
Forschungsgruppe:Research Group: AutomatentheorieAutomata Theory

@techreport{ BaFM-LTCS-13-07,
  address = {Dresden, Germany},
  author = {Franz {Baader} and Oliver {Fern\'{a}ndez Gil} and Barbara {Morawska}},
  institution = {Chair of Automata Theory, Institute of Theoretical Computer Science, Technische Universit{\"a}t Dresden},
  note = {See \url{http://lat.inf.tu-dresden.de/research/reports.html}.},
  number = {13-07},
  title = {Hybrid Unification in the Description Logic EL},
  type = {LTCS-Report},
  year = {2013},
}