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Despite much work within the last decade on foundational properties of SPARQL - the standard query language for RDF data - rather little is known about the exact limits of tractability for this language. In particular, this is the case for…

Computational Complexity · Computer Science 2017-12-27 Stefan Mengel , Sebastian Skritek

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

The containment problem of Datalog queries is well known to be undecidable. There are, however, several Datalog fragments for which containment is known to be decidable, most notably monadic Datalog and several "regular" query languages on…

Databases · Computer Science 2014-07-01 Pierre Bourhis , Markus Krötzsch , Sebastian Rudolph

As fragments of first-order logic, Description logics (DLs) do not provide nonmonotonic features such as defeasible inheritance and default rules. Since many applications would benefit from the availability of such features, several…

Logic in Computer Science · Computer Science 2014-01-16 Piero A. Bonatti , Carsten Lutz , Frank Wolter

We study the problem of consistent query answering under primary key violations. In this setting, the relations in a database violate the key constraints and we are interested in maximal subsets of the database that satisfy the constraints,…

Databases · Computer Science 2014-01-17 Paraschos Koutris , Dan Suciu

Query evaluation over probabilistic databases is known to be intractable in many cases, even in data complexity, i.e., when the query is fixed. Although some restrictions of the queries [19] and instances [4] have been proposed to lower the…

Databases · Computer Science 2019-08-28 Antoine Amarilli , Mikaël Monet , Pierre Senellart

A relational database is said to be uncertain if primary key constraints can possibly be violated. A repair (or possible world) of an uncertain database is obtained by selecting a maximal number of tuples without ever selecting two distinct…

Databases · Computer Science 2015-02-02 Paraschos Koutris , Jef Wijsen

Ontology-based data access is an approach to organizing access to a database augmented with a logical theory. In this approach query answering proceeds through a reformulation of a given query into a new one which can be answered without…

Logic in Computer Science · Computer Science 2015-06-04 Vladimir V. Podolskii

We study first-order model checking, by which we refer to the problem of deciding whether or not a given first-order sentence is satisfied by a given finite structure. In particular, we aim to understand on which sets of sentences this…

Logic in Computer Science · Computer Science 2014-07-15 Hubie Chen

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

We prove a complexity dichotomy theorem for all non-negative weighted counting Constraint Satisfaction Problems (CSP). This caps a long series of important results on counting problems including unweighted and weighted graph homomorphisms…

Computational Complexity · Computer Science 2010-12-30 Jin-Yi Cai , Xi Chen , Pinyan Lu

The question whether an ontology can safely be replaced by another, possibly simpler, one is fundamental for many ontology engineering and maintenance tasks. It underpins, for example, ontology versioning, ontology modularization,…

Artificial Intelligence · Computer Science 2018-04-24 Elena Botoeva , Boris Konev , Carsten Lutz , Vladislav Ryzhikov , Frank Wolter , Michael Zakharyaschev

Ontology-based query answering (OBQA) asks whether a Boolean conjunctive query is satisfied by all models of a logical theory consisting of a relational database paired with an ontology. The introduction of existential rules (i.e., Datalog…

Logic in Computer Science · Computer Science 2017-07-07 Giovanni Amendola , Nicola Leone , Marco Manna

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

We focus on ontology-mediated queries (OMQs) based on (frontier-)guarded existential rules and (unions of) conjunctive queries, and we investigate the problem of FO-rewritability, i.e., whether an OMQ can be rewritten as a first-order…

Databases · Computer Science 2020-11-19 Pablo Barcelo , Gerald Berger , Carsten Lutz , Andreas Pieris

We introduce ontology-mediated planning, in which planning problems are combined with an ontology. Our formalism differs from existing ones in that we focus on a strong separation of the formalisms for describing planning problems and…

Artificial Intelligence · Computer Science 2024-08-15 Tobias John , Patrick Koopmann

We study the problem of fitting a description logic (DL) ontology to a given set of positive and negative examples that take the form of an ABox and a Boolean query. While previous work has investigated this problem for the expressive DLs…

Logic in Computer Science · Computer Science 2026-05-01 Marvin Grosser , Carsten Lutz

Some of the applications of OWL and RDF (e.g. biomedical knowledge representation and semantic policy formulation) call for extensions of these languages with nonmonotonic constructs such as inheritance with overriding. Nonmonotonic…

Logic in Computer Science · Computer Science 2014-01-17 Piero A. Bonatti , Marco Faella , Luigi Sauro

The constraint satisfaction problem, parameterized by a relational structure, provides a general framework for expressing computational decision problems. Already the restriction to the class of all finite structures forms an interesting…

Logic in Computer Science · Computer Science 2024-02-15 Jakub Rydval , Žaneta Semanišinová , Michał Wrona

SPARQL query rewriting is a fundamental mechanism for uniformly querying heterogeneous ontologies in the Linked Data Web. However, the complexity of ontology alignments, particularly rich correspondences (c : c), makes this process…

Databases · Computer Science 2025-12-08 Anicet Lepetit Ondo , Laurence Capus , Mamadou Bousso