Defeasible Inclusions in Low-Complexity DLs

Some of the applications of OWL and RDF (e.g. biomedical knowledge representation and semantic policy formulation) call for extensions of these languages with nonmonotonic constructs such as inheritance with overriding. Nonmonotonic description logics have been studied for many years, however no pra...

Full description

Saved in:
Bibliographic Details
Published in:The Journal of artificial intelligence research 2011-01, Vol.42, p.719
Main Authors: Bonatti, P A, Faella, M, Sauro, L
Format: Article
Language:English
Subjects:
Artificial intelligence
Complexity
Fragments
Inclusions
Knowledge bases (artificial intelligence)
Knowledge representation
Languages
Polynomials
Semantics
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Some of the applications of OWL and RDF (e.g. biomedical knowledge representation and semantic policy formulation) call for extensions of these languages with nonmonotonic constructs such as inheritance with overriding. Nonmonotonic description logics have been studied for many years, however no practical such knowledge representation languages exist, due to a combination of semantic difficulties and high computational complexity. Independently, low-complexity description logics such as DL-lite and EL have been introduced and incorporated in the OWL standard. Therefore, it is interesting to see whether the syntactic restrictions characterizing DL-lite and EL bring computational benefits to their nonmonotonic versions, too. In this paper we extensively investigate the computational complexity of Circumscription when knowledge bases are formulated in DL-lite_R, EL, and fragments thereof. We identify fragments whose complexity ranges from P to the second level of the polynomial hierarchy, as well as fragments whose complexity raises to PSPACE and beyond.
ISSN:1076-9757
1943-5037
DOI:10.1613/jair.3360