On the decidability and complexity of integrating ontologies and rules

Abstract

We define the formal framework of r-hybrid knowledge bases (KBs) integrating ontologies and rules. A r-hybrid KB has a structural component (ontology) and a rule component. Such a framework is very general, in the sense that: (i) the construction is parametric with respect to the logic used to specify the structural component; (ii) the rule component is very expressive, since it consists of a Datalog¬∨ program, i.e., a Datalog program with negation as failure and disjunction. (iii) the rule component is constrained in its interaction with the structural component according to a safeness condition: such a safe interaction between rules and structural KB captures (and is a generalization of) several previous proposals. As a consequence, we are able to show that such a framework of r-hybrid KBs comprises many systems proposed for combining rules and Description Logics. Then, we study reasoning in r-hybrid KBs. We provide a general algorithm for reasoning in r-hybrid KBs, and prove that, under very general conditions, decidability of reasoning is preserved when we add safe Datalog¬∨ rules to a KB: in other words, if reasoning in the logic L used to specify the structural component T is decidable, then reasoning in the extension of T with safe Datalog¬∨ rules is still decidable. We also show that an analogous property holds for the complexity of reasoning in r-hybrid KBs. Our decidability and complexity results generalize in a broad sense previous results obtained in recent research on this topic. In particular, we prove that reasoning in r-hybrid KBs whose structural component is specified in the Web Ontology Language OWL-DL is decidable.

DOI: 10.1016/j.websem.2005.05.002

Extracted Key Phrases

Statistics

02040'04'06'08'10'12'14'16
Citations per Year

225 Citations

Semantic Scholar estimates that this publication has 225 citations based on the available data.

See our FAQ for additional information.

Cite this paper

@article{Rosati2005OnTD, title={On the decidability and complexity of integrating ontologies and rules}, author={Riccardo Rosati}, journal={J. Web Sem.}, year={2005}, volume={3}, pages={61-73} }