A Goal-Oriented Algorithm for Unification in ELH_R^+ w.r.t. Cycle-Restricted Ontologies

Franz BaaderFranz Baader, Stefan BorgwardtStefan Borgwardt, Barbara MorawskaBarbara Morawska

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Franz Baader, Stefan Borgwardt, Barbara Morawska
A Goal-Oriented Algorithm for Unification in ELH_R^+ w.r.t. Cycle-Restricted Ontologies
In Michael Thielscher and Dongmo Zhang, eds., Proceedings of the 25th Australasian Joint Conference on Artificial Intelligence (AI'12), volume 7691 of Lecture Notes in Artificial Intelligence, 493-504, 2012. Springer

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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. A goal-oriented NP unification algorithm for EL that uses nondeterministic rules to transform a given unification problem into solved form has recently been presented. In this paper, we extend this goal-oriented algorithm in two directions: on the one hand, we add general concept inclusion axioms (GCIs), and on the other hand, we add role hierarchies (H) and transitive roles (R+). For the algorithm to be complete, however, the ontology consisting of the GCIs and role axioms needs to satisfy a certain cycle restriction.
Forschungsgruppe:Research Group: AutomatentheorieAutomata Theory

The final publication is available at Springer.

@inproceedings{ BaBM-AI12,
  address = {Sydney, Australia},
  author = {Franz {Baader} and Stefan {Borgwardt} and Barbara {Morawska}},
  booktitle = {Proceedings of the 25th Australasian Joint Conference on Artificial Intelligence (AI'12)},
  editor = {Michael {Thielscher} and Dongmo {Zhang}},
  pages = {493--504},
  publisher = {Springer-Verlag},
  series = {Lecture Notes in Artificial Intelligence},
  title = {A Goal-Oriented Algorithm for Unification in {$\mathcal{ELH}_{R^+}$} w.r.t. Cycle-Restricted Ontologies},
  volume = {7691},
  year = {2012},
}