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In this paper, we explore a quantitative approach to querying inconsistent description logic knowledge bases. We consider weighted knowledge bases in which both axioms and assertions have (possibly infinite) weights, which are used to…

Logic in Computer Science · Computer Science 2024-08-01 Meghyn Bienvenu , Camille Bourgaux , Robin Jean

We analyze the data complexity of ontology-mediated querying where the ontologies are formulated in a description logic (DL) of the ALC family and queries are conjunctive queries, positive existential queries, or acyclic conjunctive…

Artificial Intelligence · Computer Science 2023-06-22 Carsten Lutz , Frank Wolter

Weighted-knowledge bases and cost-based semantics represent a recent formalism introduced by Bienvenu et al. for Ontology Mediated Data Querying in the case where a given knowledge base is inconsistent. This is done by adding a weight to…

Artificial Intelligence · Computer Science 2025-10-03 Nicholas Leisegang , Giovanni Casini , Thomas Meyer

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

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

We address the problem of answering Web ontology queries efficiently. An ontology is formalized as a Deductive Ontology Base (DOB), a deductive database that comprises the ontology's inference axioms and facts. A cost-based query…

Databases · Computer Science 2007-11-15 Edna Ruckhaus , Eduardo Ruiz , Maria-Esther Vidal

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

In this paper, we explore the issue of inconsistency handling over prioritized knowledge bases (KBs), which consist of an ontology, a set of facts, and a priority relation between conflicting facts. In the database setting, a closely…

Logic in Computer Science · Computer Science 2026-05-27 Meghyn Bienvenu , Camille Bourgaux

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

Query containment and query answering are two important computational tasks in databases. While query answering amounts to compute the result of a query over a database, query containment is the problem of checking whether for every…

Databases · Computer Science 2007-05-23 Diego Calvanese , Giuseppe De Giacomo , Maurizio Lenzerini

Querying large datasets with incomplete and vague data is still a challenge. Ontology-based query answering extends standard database query answering by background knowledge from an ontology to augment incomplete data. We focus on…

Logic in Computer Science · Computer Science 2018-08-07 Rafael Peñaloza , Veronika Thost , Anni-Yasmin Turhan

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

Weighted knowledge bases for description logics with typicality under a "concept-wise" multi-preferential semantics provide a logical interpretation of MultiLayer Perceptrons. In this context, Answer Set Programming (ASP) has been shown to…

Artificial Intelligence · Computer Science 2023-03-28 Mario Alviano , Laura Giordano , Daniele Theseider Dupré

Representation of defeasible information is of interest in description logics, as it is related to the need of accommodating exceptional instances in knowledge bases. In this direction, in our previous works we presented a datalog…

Logic in Computer Science · Computer Science 2019-05-23 Loris Bozzato , Thomas Eiter , Luciano Serafini

Description logics are knowledge representation languages that have been designed to strike a balance between expressivity and computational tractability. Many different description logics have been developed, and numerous computational…

Logic in Computer Science · Computer Science 2018-08-14 Ronald de Haan

We present a novel approach to querying classical inconsistent description logic (DL) knowledge bases by adopting a~paraconsistent semantics with the four Belnapian values: exactly true ($\mathbf{T}$), exactly false ($\mathbf{F}$), both…

Logic in Computer Science · Computer Science 2025-07-21 Meghyn Bienvenu , Camille Bourgaux , Daniil Kozhemiachenko

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

Ontologies often require knowledge representation on multiple levels of abstraction, but description logics (DLs) are not well-equipped for supporting this. We propose an extension of DLs in which abstraction levels are first-class citizens…

Artificial Intelligence · Computer Science 2023-10-23 Carsten Lutz , Lukas Schulze

The recently introduced series of description logics under the common moniker DL-Lite has attracted attention of the description logic and semantic web communities due to the low computational complexity of inference, on the one hand, and…

Logic in Computer Science · Computer Science 2014-01-16 Alessandro Artale , Diego Calvanese , Roman Kontchakov , Michael Zakharyaschev

Classical algorithms for query optimization presuppose the absence of inconsistencies or uncertainties in the database and exploit only valid semantic knowledge provided, e.g., by integrity constraints. Data inconsistency or uncertainty,…

Databases · Computer Science 2014-05-05 Federica Panella
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