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

Bartosz BednarczykBartosz Bednarczyk, Franz BaaderFranz Baader, Sebastian RudolphSebastian Rudolph

Bartosz Bednarczyk, Franz Baader, Sebastian Rudolph
Satisfiability and Query Answering in Description Logics with Global and Local Cardinality Constraints
Proceedings of the 24th European Conference on Artificial Intelligence (ECAI 2020), June 2020

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KurzfassungAbstract
We introduce and investigate the expressive description logic (DL) ALCSCC++,
in which the global and local cardinality constraints introduced in previous papers can be mixed. We prove that the added expressivity does not increase the complexity of satisfiability checking and other standard inference problems. However,
reasoning in ALCSCC++ becomes undecidable if inverse roles are added or conjunctive query entailment is considered. We prove that decidability of querying can be regained if global and local constraints are not mixed and the global constraints are appropriately restricted. In this setting, query entailment can be shown to be EXPTIME-complete and hence not harder than reasoning in ALC.
Projekt:Project: DeciGUT
Forschungsgruppe:Research Group: Computational Logic

@inproceedings{BBR2020,
  author    = {Bartosz Bednarczyk and Franz Baader and Sebastian Rudolph},
  title     = {Satisfiability and Query Answering in Description Logics with
               Global and Local Cardinality Constraints},
  booktitle = {Proceedings of the 24th European Conference on Artificial
               Intelligence (ECAI 2020)},
  year      = {2020},
  month     = {June}
}