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In the context of ontology-mediated querying with description logics (DLs), we study the data complexity of queries in which selected predicates can be closed (OMQCs). We provide a non-uniform analysis, aiming at a classification of the…

Logic in Computer Science · Computer Science 2023-06-22 Carsten Lutz , Inanc Seylan , 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 investigate the data complexity of answering queries mediated by metric temporal logic ontologies under the event-based semantics assuming that data instances are finite timed words timestamped with binary fractions. We identify classes…

Logic in Computer Science · Computer Science 2019-07-02 Vladislav Ryzhikov , Przemyslaw Andrzej Walega , Michael Zakharyaschev

We introduce and study several notions of approximation for ontology-mediated queries based on the description logics ALC and ALCI. Our approximations are of two kinds: we may (1) replace the ontology with one formulated in a tractable…

Artificial Intelligence · Computer Science 2022-07-01 Anneke Haga , Carsten Lutz , Leif Sabellek , Frank Wolter

We study the complexity of ontology-mediated querying when ontologies are formulated in the guarded fragment of first-order logic (GF). Our general aim is to classify the data complexity on the level of ontologies where query evaluation…

Databases · Computer Science 2018-04-20 Andre Hernich , Carsten Lutz , Fabio Papacchini , Frank Wolter

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 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

In this paper, we study the data complexity of querying inconsistent weighted description logic (DL) knowledge bases under recently-introduced cost-based semantics. In a nutshell, the idea is to assign each interpretation a cost based upon…

Artificial Intelligence · Computer Science 2025-11-17 Meghyn Bienvenu , Quentin Manière

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

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

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 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

Ontologies are a popular way of representing domain knowledge, in particular, knowledge in domains related to life sciences. (Semi-)automating the process of building an ontology has attracted researchers from different communities into a…

Artificial Intelligence · Computer Science 2021-03-26 Ana Ozaki

The literature on ontology-mediated query answering (OMQA) has been shaped by two key results: first-order rewritability for DL-Lite, and PTime-hardness of data complexity for essentially every description logic beyond it. This has…

Logic in Computer Science · Computer Science 2026-05-14 Janos Arpasi , Bartosz Jan Bednarczyk , Magdalena Ortiz

The quest for acquiring a formal representation of the knowledge of a domain of interest has attracted researchers with various backgrounds into a diverse field called ontology learning. We highlight classical machine learning and data…

Artificial Intelligence · Computer Science 2021-04-06 Ana Ozaki

We study the problem of finite entailment of ontology-mediated queries. Going beyond local queries, we allow transitive closure over roles. We focus on ontologies formulated in the description logics ALCOI and ALCOQ, extended with…

Artificial Intelligence · Computer Science 2020-07-01 Tomasz Gogacz , Víctor Gutiérrez-Basulto , Albert Gutowski , Yazmín Ibáñez-García , Filip Murlak

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

Circumscription is one of the main approaches for defining non-monotonic description logics (DLs). While the decidability and complexity of traditional reasoning tasks such as satisfiability of circumscribed DL knowledge bases (KBs) is well…

Artificial Intelligence · Computer Science 2023-06-08 Carsten Lutz , Quentin Manière , Robin Nolte

Our concern is the data complexity of answering linear monadic datalog queries whose atoms in the rule bodies can be prefixed by operators of linear temporal logic LTL. We first observe that, for data complexity, answering any connected…

Artificial Intelligence · Computer Science 2025-01-24 Alessandro Artale , Anton Gnatenko , Vladislav Ryzhikov , Michael Zakharyaschev

We show that for every conjunctive query, the complexity of evaluating it on a probabilistic database is either \PTIME or #\P-complete, and we give an algorithm for deciding whether a given conjunctive query is \PTIME or #\P-complete. The…

Databases · Computer Science 2007-05-23 Nilesh Dalvi , Dan Suciu
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