Counting Query Answers over a DL-Lite Knowledge Base (extended version)

@article{Calvanese2020CountingQA,
  title={Counting Query Answers over a DL-Lite Knowledge Base (extended version)},
  author={Diego Calvanese and Julien Corman and Davide Lanti and Simon Razniewski},
  journal={ArXiv},
  year={2020},
  volume={abs/2005.05886}
}
Counting answers to a query is an operation supported by virtually all database management systems. In this paper we focus on counting answers over a Knowledge Base (KB), which may be viewed as a database enriched with background knowledge about the domain under consideration. In particular, we place our work in the context of Ontology-Mediated Query Answering/Ontology-based Data Access (OMQA/OBDA), where the language used for the ontology is a member of the DL-Lite family and the data is a… 
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Counting Query Answers over a DL-Lite Knowledge Base
TLDR
This paper focuses on counting answers over a Knowledge Base (KB), which may be viewed as a database enriched with background knowledge about the domain under consideration, in the context of OntologyMediated Query Answering/Ontology-based Data Access (OMQA/OBDA).
Rewriting Count Queries over DL-Lite TBoxes with Number Restrictions
TLDR
The algorithm supports number restrictions on the RHS of axioms in the input TBox, which can be used to encode statistics in the binary encoding of these numbers.
Cardinality Queries over DL-Lite Ontologies
TLDR
It is proved that cardinality query answering is tractable (TC) in data complexity when the ontology is formulated in DL-Litecore, but the problem becomes coNP-hard as soon as role inclusions are allowed.

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This paper focuses on counting answers over a Knowledge Base (KB), which may be viewed as a database enriched with background knowledge about the domain under consideration, in the context of OntologyMediated Query Answering/Ontology-based Data Access (OMQA/OBDA).
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