THE DATA COMPLEXITY OF DESCRIPTION LOGIC ONTOLOGIES

Lutz, Carsten and Wolter, Frank (2017) THE DATA COMPLEXITY OF DESCRIPTION LOGIC ONTOLOGIES. LOGICAL METHODS IN COMPUTER SCIENCE, 13 (4). 2017-.

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Abstract

We analyze the data complexity of ontology-mediated querying where the ontologies are formulated in a description logic (DL) of the ALC family and queries are conjunctive queries, positive existential queries, or acyclic conjunctive queries. Our approach is non-uniform in the sense that we aim to understand the complexity of each single ontology instead of for all ontologies formulated in a certain language. While doing so, we quantify over the queries and are interested, for example, in the question whether all queries can be evaluated in polynomial time w.r.t. a given ontology. Our results include a PTime/coNP-dichotomy for ontologies of depth one in the description logic ALCFI, the same dichotomy for ALC- and ALCI-ontologies of unrestricted depth, and the non-existence of such a dichotomy for ALCF-ontologies. For the latter DL, we additionally show that it is undecidable whether a given ontology admits PTime query evaluation. We also consider the connection between PTime query evaluation and rewritability into (monadic) Datalog.

Item Type:	Article
Uncontrolled Keywords:	Description Logic, Ontology-Mediated Querying, Data Complexity
Depositing User:	Symplectic Admin
Date Deposited:	29 Nov 2017 08:18
Last Modified:	19 Jan 2023 06:49
DOI:	10.23638/LMCS-13(4:7)2017
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3013081