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This paper investigates the impact of query topology on the difficulty of answering conjunctive queries in the presence of OWL 2 QL ontologies. Our first contribution is to clarify the worst-case size of positive existential (PE),…

Artificial Intelligence · Computer Science 2015-05-14 Meghyn Bienvenu , Stanislav Kikot , Vladimir Podolskii

We establish connections between the size of circuits and formulas computing monotone Boolean functions and the size of first-order and nonrecursive Datalog rewritings for conjunctive queries over OWL 2 QL ontologies. We use known lower…

Logic in Computer Science · Computer Science 2012-05-15 Stanislav Kikot , Roman Kontchakov , Vladimir Podolskii , Michael Zakharyaschev

We give solutions to two fundamental computational problems in ontology-based data access with the W3C standard ontology language OWL 2 QL: the succinctness problem for first-order rewritings of ontology-mediated queries (OMQs), and the…

We show that, for OWL 2 QL ontology-mediated queries with (i) ontologies of bounded depth and conjunctive queries of bounded treewidth, (ii) ontologies of bounded depth and bounded-leaf tree-shaped conjunctive queries, and (iii) arbitrary…

Logic in Computer Science · Computer Science 2016-04-19 Meghyn Bienvenu , Stanislav Kikot , Roman Kontchakov , Vladimir V. Podolskii , Michael Zakharyaschev

Our concern is the overhead of answering OWL 2 QL ontology-mediated queries (OMQs) in ontology-based data access compared to evaluating their underlying tree-shaped and bounded treewidth conjunctive queries (CQs). We show that OMQs with…

We study the problem of rewriting an ontology O1 expressed in a DL L1 into an ontology O2 in a Horn DL L2 such that O1 and O2 are equisatisfiable when extended with an arbitrary dataset. Ontologies that admit such rewritings are amenable to…

Artificial Intelligence · Computer Science 2015-04-22 Mark Kaminski , Bernardo Cuenca Grau

Rewriting-based approaches for answering queries over an OWL 2 DL ontology have so far been developed mainly for Horn fragments of OWL 2 DL. In this paper, we study the possibilities of answering queries over non-Horn ontologies using…

Artificial Intelligence · Computer Science 2013-04-09 Bernardo Cuenca Grau , Boris Motik , Giorgos Stoilos , Ian Horrocks

Ontological queries are evaluated against a knowledge base consisting of an extensional database and an ontology (i.e., a set of logical assertions and constraints which derive new intensional knowledge from the extensional database),…

Databases · Computer Science 2014-05-13 Georg Gottlob , Giorgio Orsi , Andreas Pieris

Ontological queries are evaluated against an ontology rather than directly on a database. The evaluation and optimization of such queries is an intriguing new problem for database research. In this paper we discuss two important aspects of…

Databases · Computer Science 2011-12-05 Georg Gottlob , Giorgio Orsi , Andreas Pieris

Aiming at ontology-based data access to temporal data, we design two-dimensional temporal ontology and query languages by combining logics from the (extended) DL-Lite family with linear temporal logic LTL over discrete time (Z,<). Our main…

Logic in Computer Science · Computer Science 2022-10-24 Alessandro Artale , Roman Kontchakov , Alisa Kovtunova , Vladislav Ryzhikov , Frank Wolter , Michael Zakharyaschev

A prominent approach to implementing ontology-mediated queries (OMQs) is to rewrite into a first-order query, which is then executed using a conventional SQL database system. We consider the case where the ontology is formulated in the…

Artificial Intelligence · Computer Science 2018-04-20 Peter Hansen , Carsten Lutz

We consider the setting of ontological database access, where an Abox is given in form of a relational database D and where a Boolean conjunctive query q has to be evaluated against D modulo a Tbox T formulated in DL-Lite or Linear…

Artificial Intelligence · Computer Science 2011-07-26 Georg Gottlob , Thomas Schwentick

To answer database queries over incomplete data the gold standard is finding certain answers: those that are true regardless of how incomplete data is interpreted. Such answers can be found efficiently for conjunctive queries and their…

Databases · Computer Science 2023-10-20 Amélie Gheerbrant , Leonid Libkin , Alexandra Rogova , Cristina Sirangelo

In many scenarios, complete and incomplete information coexist. For this reason, the knowledge representation and database communities have long shown interest in simultaneously supporting the closed- and the open-world views when reasoning…

Artificial Intelligence · Computer Science 2019-12-17 Shqiponja Ahmetaj , Magdalena Ortiz , Mantas Simkus

We study FO-rewritability of conjunctive queries in the presence of ontologies formulated in a description logic between EL and Horn-SHIF, along with related query containment problems. Apart from providing characterizations, we establish…

Artificial Intelligence · Computer Science 2020-11-20 Meghyn Bienvenu , Peter Hansen , Carsten Lutz , Frank Wolter

We provide an ultimately fine-grained analysis of the data complexity and rewritability of ontology-mediated queries (OMQs) based on an EL ontology and a conjunctive query (CQ). Our main results are that every such OMQ is in AC0,…

Computational Complexity · Computer Science 2019-05-02 Carsten Lutz , Leif Sabellek

We study the problem of learning description logic (DL) ontologies in Angluin et al.'s framework of exact learning via queries. We admit membership queries ("is a given subsumption entailed by the target ontology?") and equivalence queries…

Machine Learning · Computer Science 2017-09-22 Boris Konev , Carsten Lutz , Ana Ozaki , Frank Wolter

With the growth of the Semantic Web in size and importance, more and more knowledge is stored in machine-readable formats such as the Web Ontology Language OWL. This paper outlines common approaches for efficient reasoning on large-scale…

Artificial Intelligence · Computer Science 2016-02-16 Michael Ruster

We address the issue of Ontology-Based Data Access, with ontologies represented in the framework of existential rules, also known as Datalog+/-. A well-known approach involves rewriting the query using ontological knowledge. We focus here…

Artificial Intelligence · Computer Science 2013-11-14 Mélanie König , Michel Leclère , Marie-Laure Mugnier , Michaël Thomazo

Despite the many advantages that ontology-based data access (OBDA) has brought to a range of application domains, state-of-the-art OBDA systems still do not support popular graph database management systems such as Neo4j. Algorithms for…

Databases · Computer Science 2025-04-24 Bianca Löhnert , Nikolaus Augsten , Cem Okulmus , Magdalena Ortiz
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