Satisfiability Checking and Conjunctive Query Answering in Description Logics with Global and Local Cardinality Constraints

Franz BaaderFranz Baader, Bartosz BednarczykBartosz Bednarczyk, Sebastian RudolphSebastian Rudolph

ISSN: 1613-0073
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Franz Baader, Bartosz Bednarczyk, Sebastian Rudolph
Satisfiability Checking and Conjunctive Query Answering in Description Logics with Global and Local Cardinality Constraints
In Mantas Simkus, Grant E. Weddell, eds., Proceedings of the 32nd International Workshop on Description Logics, volume 2373 of CEUR Workshop Proceedings, June 2019. CEUR-WS.org

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KurzfassungAbstract
We consider an expressive description logic (DL) in which the global and local cardinality constraints introduced in previous papers can be mixed. On the one hand, we show that this does not increase the complexity of satisfiability checking and other standard inference problems. On the other hand, conjunctive query entailment in this DL turns out to be undecidable. We prove that decidability of querying can be regained if global and local constraints are not mixed and the global constraints are appropriately restricted.
Weitere Informationen unter:Further Information: Link
Projekt:Project: DeciGUT
Forschungsgruppe:Research Group: AutomatentheorieAutomata Theory, Computational LogicComputational Logic

@inproceedings{DBLP:conf/dlog/BaaderBR19,
  author    = {Franz Baader and
               Bartosz Bednarczyk and
               Sebastian Rudolph},
  title     = {Satisfiability Checking and Conjunctive Query Answering in Description
               Logics with Global and Local Cardinality Constraints},
  booktitle = {Proceedings of the 32nd International Workshop on Description Logics,
               Oslo, Norway, June 18-21, 2019.},
  year      = {2019},
  crossref  = {DBLP:conf/dlog/2019},
  url       = {http://ceur-ws.org/Vol-2373/paper-3.pdf},
  timestamp = {Fri, 30 Aug 2019 13:15:06 +0200},
  biburl    = {https://dblp.org/rec/bib/conf/dlog/BaaderBR19},
  bibsource = {dblp computer science bibliography, https://dblp.org} 
}
@proceedings{DBLP:conf/dlog/2019,
  editor    = {Mantas Simkus and
               Grant E. Weddell},
  title     = {Proceedings of the 32nd International Workshop on Description Logics,
               Oslo, Norway, June 18-21, 2019},
  series    = {{CEUR} Workshop Proceedings},
  volume    = {2373},
  publisher = {CEUR-WS.org},
  year      = {2019},
  url       = {http://ceur-ws.org/Vol-2373},
  urn       = {urn:nbn:de:0074-2373-7},
  timestamp = {Fri, 30 Aug 2019 13:15:06 +0200},
  biburl    = {https://dblp.org/rec/bib/conf/dlog/2019},
  bibsource = {dblp computer science bibliography, https://dblp.org} 
}