Diego Calvanese, Giuseppe De Giacomo, Domenico Lembo, Maurizio Lenzerini, Riccardo Rosati.
Journal of Automated Reasoning, volume 39, number 3, pages 385-429, 2007.
We propose a new family of Description Logics, called DL-Lite, specifically tailored to capture basic ontology languages, while keeping low complexity of reasoning. Reasoning here means not only computing subsumption between concepts, and checking satisfiability of the whole knowledge base, but also answering complex queries (in particular, unions of conjunctive queries) over the instance level (ABox) of the DL knowledge base. We show that, for the Description Logics of the DL-Lite family, the usual DL reasoning tasks are polynomial in the size of the TBox, and query answering is LogSpace in the size of the ABox (i.e., in data complexity). To the best of our knowledge, this is the first result of polynomial time data complexity for query answering over Description Logic knowledge bases. Notably, our logic allows for a separation between TBox and ABox reasoning during query evaluation: the part of the process requiring TBox reasoning is independent of the ABox, and the part of the process requiring access to the ABox can be carried out by an SQL engine, thus taking advantage of the query optimization strategies provided by current Data Base Management Systems. Since it can be shown that even slight extensions to the logics of the DL-Lite family make query answering at least NLogSpace in data complexity, thus ruling out the possibility of using on-the-shelf relational technology for query processing, we can conclude that the logics of the DL-Lite family are the maximal Description Logics supporting efficient query answering over large amounts of instances.
@String{JAR = "Journal of Automated Reasoning"}
@Article{CDLLR07b,
author = "Diego Calvanese and De Giacomo, Giuseppe and Domenico Lembo and Maurizio Lenzerini and Riccardo Rosati",
title = "Tractable Reasoning and Efficient Query Answering in Description Logics: The {DL}-{L}ite family",
journal = JAR,
volume = 39,
number = 3,
pages = "385--429",
year = 2007,
}