Querying Circumscribed Description Logic Knowledge Bases
Artificial Intelligence
2023-06-08 v1 Computational Complexity
Logic in Computer Science
Abstract
Circumscription is one of the main approaches for defining non-monotonic description logics (DLs). While the decidability and complexity of traditional reasoning tasks such as satisfiability of circumscribed DL knowledge bases (KBs) is well understood, for evaluating conjunctive queries (CQs) and unions thereof (UCQs), not even decidability had been established. In this paper, we prove decidability of (U)CQ evaluation on circumscribed DL KBs and obtain a rather complete picture of both the combined complexity and the data complexity, for DLs ranging from ALCHIO via EL to various versions of DL-Lite. We also study the much simpler atomic queries (AQs).
Cite
@article{arxiv.2306.04546,
title = {Querying Circumscribed Description Logic Knowledge Bases},
author = {Carsten Lutz and Quentin Manière and Robin Nolte},
journal= {arXiv preprint arXiv:2306.04546},
year = {2023}
}
Comments
42 pages - Extended version of a paper accepted at KR 2023