Title
A New Description Logic with Set Constraints and Cardinality Constraints on Role Successors.
Abstract
We introduce a new description logic that extends the well-known logic ALC Q by allowing the statement of constraints on role successors that are more general than the qualified number restrictions of ALC 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 numerical constraints on the cardinalities of sets. Though our new logic is considerably more expressive than ALC Q, we are able to show that the complexity of reasoning in it is the same as in ALC Q, both without and with TBoxes.
Year
DOI
Venue
2017
10.1007/978-3-319-66167-4_3
Lecture Notes in Artificial Intelligence
Field
DocType
Volume
Discrete mathematics,Combinatorics,Algorithm,Description logic,Cardinality,Presburger arithmetic,Boolean algebra,Mathematics
Conference
10483
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
14
1
Name
Order
Citations
PageRank
Franz Baader18123646.64