A New Description Logic with Set Constraints and Cardinality Constraints on Role Successors

@inproceedings{Baader2017AND,
  title={A New Description Logic with Set Constraints and Cardinality Constraints on Role Successors},
  author={Franz Baader},
  booktitle={FroCoS},
  year={2017}
}
  • F. Baader
  • Published in FroCoS 27 September 2017
  • Mathematics
We introduce a new description logic that extends the well-known logic \(\mathcal {A}\mathcal {L}\mathcal {C}\mathcal {Q}\) by allowing the statement of constraints on role successors that are more general than the qualified number restrictions of \(\mathcal {A}\mathcal {L}\mathcal {C}\mathcal {Q}\). To formulate these constraints, we use the quantifier-free fragment of Boolean Algebra with Presburger Arithmetic (QFBAPA), in which one can express Boolean combinations of set constraints and… 

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We introduce a new description logic that extends the well-known logic ALCQ by allowing the statement of constraints on role successors that are more general than the qualified number restrictions of

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