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We study the enumeration of answers to ontology-mediated queries (OMQs) where the ontology is a set of guarded TGDs or formulated in the description logic ELI and the query is a conjunctive query (CQ). In addition to the traditional notion…

Databases · Computer Science 2022-03-18 Carsten Lutz , Marcin Przybyłko

We study the complexity of enumerating the answers of Conjunctive Queries (CQs) in the presence of Functional Dependencies (FDs). Our focus is on the ability to list output tuples with a constant delay in between, following a linear-time…

Databases · Computer Science 2021-09-28 Nofar Carmeli , Markus Kröll

In ontology-mediated querying, description logic (DL) ontologies are used to enrich incomplete data with domain knowledge which results in more complete answers to queries. However, the evaluation of ontology-mediated queries (OMQs) over…

Databases · Computer Science 2020-07-30 Pablo Barcelo , Cristina Feier , Carsten Lutz , Andreas Pieris

We study the problem of enumerating answers of Conjunctive Queries ranked according to a given ranking function. Our main contribution is a novel algorithm with small preprocessing time, logarithmic delay, and non-trivial space usage during…

Databases · Computer Science 2025-05-21 Shaleen Deep , Paraschos Koutris

Definite descriptions are phrases of the form 'the $x$ such that $\varphi$', used to refer to single entities in a context. They are often more meaningful to users than individual names alone, in particular when modelling or querying data…

Logic in Computer Science · Computer Science 2021-06-30 Alessandro Artale , Andrea Mazzullo , Ana Ozaki , 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

As data analytics becomes more crucial to digital systems, so grows the importance of characterizing the database queries that admit a more efficient evaluation. We consider the tractability yardstick of answer enumeration with a…

Databases · Computer Science 2019-12-24 Nofar Carmeli , Shai Zeevi , Christoph Berkholz , Benny Kimelfeld , Nicole Schweikardt

We study a logic-based approach to versioning of ontologies. Under this view, ontologies provide answers to queries about some vocabulary of interest. The difference between two versions of an ontology is given by the set of queries that…

Logic in Computer Science · Computer Science 2014-01-24 Boris Konev , Michel Ludwig , Dirk Walther , Frank Wolter

We study a fitting problem inspired by ontology-mediated querying: given a collection of positive and negative examples of the form $(\mathcal{A},q)$ with $\mathcal{A}$ an ABox and $q$ a Boolean query, we seek an ontology $\mathcal{O}$ that…

Artificial Intelligence · Computer Science 2025-08-18 Maurice Funk , Marvin Grosser , Carsten Lutz

We study the problem of finite ontology mediated query answering (FOMQA), the variant of OMQA where the represented world is assumed to be finite, and thus only finite models of the ontology are considered. We adopt the most typical setting…

Artificial Intelligence · Computer Science 2018-08-10 Tomasz Gogacz , Yazmin Ibáñez-García , Filip Murlak

In ontology-based data access (OBDA), ontologies have been successfully employed for querying possibly unstructured and incomplete data. In this paper, we advocate using ontologies not only to formulate queries and compute their answers,…

Logic in Computer Science · Computer Science 2018-08-09 Medina Andreşel , Yazmin Ibáñez-García , Magdalena Ortiz , Mantas Šimkus

Due to the importance of linear algebra and matrix operations in data analytics, there is significant interest in using relational query optimization and processing techniques for evaluating (sparse) linear algebra programs. In particular,…

Computational Complexity · Computer Science 2026-01-07 Thomas Muñoz , Cristian Riveros , Stijn Vansummeren

We study query answering in the description logic $\mathcal{SQ}$ supporting qualified number restrictions on both transitive and non-transitive roles. Our main contributions are a tree-like model property for $\mathcal{SQ}$ knowledge bases…

Logic in Computer Science · Computer Science 2020-11-18 Víctor Gutiérrez-Basulto , Yazmín Ibáñez-García , Jean Christoph Jung

We study the enumeration complexity of Unions of Conjunctive Queries(UCQs). We aim to identify the UCQs that are tractable in the sense that the answer tuples can be enumerated with a linear preprocessing phase and a constant delay between…

Databases · Computer Science 2021-05-07 Nofar Carmeli , Markus Kröll

Definite descriptions are expressions of the form "the unique $x$ satisfying property $C$," which allow reference to objects through their distinguishing characteristics. They play a crucial role in ontology and query languages, offering an…

Logic in Computer Science · Computer Science 2025-12-09 Michał Sochański , Przemysław Andrzej Wałęga , Michał Zawidzki

We study the evaluation of ontology-mediated queries (OMQs) on databases of bounded cliquewidth from the viewpoint of parameterized complexity theory. As the ontology language, we consider the description logics $\mathcal{ALC}$ and…

Databases · Computer Science 2022-09-15 Carsten Lutz , Leif Sabellek , Lukas Schulze

In ontology-mediated query answering, access to incomplete data sources is mediated by a conceptual layer constituted by an ontology, which can be formulated in a description logic (DL) or using existential rules. In the literature, there…

Logic in Computer Science · Computer Science 2022-08-31 Christian Alrabbaa , Stefan Borgwardt , Patrick Koopmann , Alisa Kovtunova

Competency Questions (CQs) are a cornerstone of requirement elicitation in ontology engineering. CQs represent requirements as a set of natural language questions that an ontology should satisfy; they are traditionally modelled by ontology…

Artificial Intelligence · Computer Science 2026-04-20 Reham Alharbi , Valentina Tamma , Terry R. Payne , Jacopo de Berardinis

Ontology-mediated query answering (OMQA) is a promising approach to data access and integration that has been actively studied in the knowledge representation and database communities for more than a decade. The vast majority of work on…

Logic in Computer Science · Computer Science 2020-09-22 Meghyn Bienvenu , Quentin Manière , Michaël Thomazo

Conjunctive queries play an important role as an expressive query language for Description Logics (DLs). Although modern DLs usually provide for transitive roles, conjunctive query answering over DL knowledge bases is only poorly understood…

Artificial Intelligence · Computer Science 2011-11-02 Birte Glimm , Ian Horrocks , Carsten Lutz , Ulrike Sattler
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