Dismatching and local disunification in EL

Franz BaaderFranz Baader, Stefan BorgwardtStefan Borgwardt, Barbara MorawskaBarbara Morawska

Franz Baader, Stefan Borgwardt, Barbara Morawska
Dismatching and local disunification in EL
In Maribel Fernández, eds., Proceedings of the 26th International Conference on Rewriting Techniques and Applications (RTA’15), volume 36 of Leibniz International Proceedings in Informatics, 40–56, 2015. Dagstuhl Publishing

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KurzfassungAbstract
Unification in Description Logics has been introduced as a means to detect redundancies in ontologies. We try to extend the known decidability results for unification in the Description Logic EL to disunification since negative constraints on unifiers can be used to avoid unwanted unifiers. While decidability of the solvability of general EL-disunification problems remains an open problem, we obtain NP-completeness results for two interesting special cases: dismatching problems, where one side of each negative constraint must be ground, and local solvability of disunification problems, where we restrict the attention to solutions that are built from so-called atoms occurring in the input problem. More precisely, we first show that dismatching can be reduced to local disunification, and then provide two complementary NP-algorithms for finding local solutions of (general) disunification problems.
Forschungsgruppe:Research Group: AutomatentheorieAutomata Theory

@inproceedings{BBM2015,
  author    = {Franz Baader and Stefan Borgwardt and Barbara Morawska},
  title     = {Dismatching and local disunification in {EL}},
  editor    = {Maribel Fern{\'{a}}ndez},
  booktitle = {Proceedings of the 26th International Conference on Rewriting
               Techniques and Applications (RTA’15)},
  series    = {Leibniz International Proceedings in Informatics},
  volume    = {36},
  publisher = {Dagstuhl Publishing},
  year      = {2015},
  pages     = {40{\textendash}56},
  doi       = {10.4230/LIPIcs.RTA.2015.40}
}