The Data Complexity of Description Logic Ontologies

Autor: Carsten Lutz, Frank Wolter
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Logical Methods in Computer Science, Vol Volume 13, Issue 4 (2017)
Druh dokumentu: article
ISSN: 1860-5974
DOI: 10.23638/LMCS-13(4:7)2017
Popis: 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.
Databáze: Directory of Open Access Journals