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The study of Description Logics have been historically mostly focused on features that can be translated to decidable fragments of first-order logic. In this paper, we leave this restriction behind and look for useful and decidable…

Logic in Computer Science · Computer Science 2023-08-30 Joshua Hirschbrunn , Yevgeny Kazakov

Definite descriptions, such as 'the General Chair of KR 2024', are a semantically transparent device for object identification in knowledge representation. In first-order modal logic, definite descriptions have been widely investigated for…

Logic in Computer Science · Computer Science 2024-09-12 Alessandro Artale , Roman Kontchakov , Andrea Mazzullo , Frank Wolter

This paper provides a self-contained first introduction to description logics (DLs). The main concepts and features are explained with examples before syntax and semantics of the DL SROIQ are defined in detail. Additional sections review…

Artificial Intelligence · Computer Science 2013-06-04 Markus Krötzsch , Frantisek Simancik , Ian Horrocks

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

Description logics are a powerful tool for describing ontological knowledge bases. That is, they give a factual account of the world in terms of individuals, concepts and relations. In the presence of uncertainty, such factual accounts are…

Artificial Intelligence · Computer Science 2021-08-31 Tim French , Tom Smoker

Ontology is a popular method for knowledge representation in different domains, including the legal domain, and description logics (DL) is commonly used as its description language. To handle reasoning based on inconsistent DL-based legal…

Artificial Intelligence · Computer Science 2022-09-20 Zhe Yu , Yiwei Lu

We present an ongoing implementation of a KE-tableau based reasoner for a decidable fragment of stratified elementary set theory expressing the description logic $\mathcal{DL}\langle \mathsf{4LQS^{R,\!\times}}\rangle(\mathbf{D})$ (shortly…

Logic in Computer Science · Computer Science 2024-02-22 Domenico Cantone , Marianna Nicolosi-Asmundo , Daniele Francesco Santamaria

RDF and Description Logics work in an open-world setting where absence of information is not information about absence. Nevertheless, Description Logic axioms can be interpreted in a closed-world setting and in this setting they can be used…

Artificial Intelligence · Computer Science 2015-01-23 Peter F. Patel-Schneider

We present a KE-tableau-based implementation of a reasoner for a decidable fragment of (stratified) set theory expressing the description logic $\mathcal{DL}\langle \mathsf{4LQS^{R,\!\times}}\rangle(\mathbf{D})$…

Logic in Computer Science · Computer Science 2024-02-22 Domenico Cantone , Marianna Nicolosi-Asmundo , Daniele Francesco Santamaria

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 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

The necessity to manage inconsistency in Description Logics Knowledge Bases (KBs) has come to the fore with the increasing importance gained by the Semantic Web, where information comes from different sources that constantly change their…

Artificial Intelligence · Computer Science 2025-08-06 Riccardo Zese , Evelina Lamma , Fabrizio Riguzzi

It is widely recognized today that the management of imprecision and vagueness will yield more intelligent and realistic knowledge-based applications. Description Logics (DLs) are a family of knowledge representation languages that have…

Artificial Intelligence · Computer Science 2011-11-02 I. Horrocks , J. Z. Pan , G. Stamou , G. Stoilos , V. Tzouvaras

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

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

Fusions are a simple way of combining logics. For normal modal logics, fusions have been investigated in detail. In particular, it is known that, under certain conditions, decidability transfers from the component logics to their fusion.…

Artificial Intelligence · Computer Science 2011-06-10 F. Baader , C. Lutz , H. Sturm , F. Wolter

We introduce optimization techniques for reasoning in DLN---a recently introduced family of nonmonotonic description logics whose characterizing features appear well-suited to model the applicative examples naturally arising in biomedical…

Artificial Intelligence · Computer Science 2015-07-17 Piero Andrea Bonatti , Iliana Mineva Petrova , Luigi Sauro

We study the problem of deciding satisfiability of first order logic queries over views, our aim being to delimit the boundary between the decidable and the undecidable fragments of this language. Views currently occupy a central place in…

Logic in Computer Science · Computer Science 2008-12-18 James Bailey , Guozhu Dong , Anthony Widjaja To

Recently, there has been a lot of interest in the integration of Description Logics and rules on the Semantic Web.We define guarded hybrid knowledge bases (or g-hybrid knowledge bases) as knowledge bases that consist of a Description Logic…

Logic in Computer Science · Computer Science 2007-11-15 Stijn Heymans , Jos de Bruijn , Livia Predoiu , Cristina Feier , Davy Van Nieuwenborgh

We address the problem of Conjunctive Query Answering (CQA) for the description logic $\dlssx$ ($\shdlssx$, for short) which extends the logic $\dlss$ with Boolean operations on concrete roles and with the product of concepts. The result is…

Logic in Computer Science · Computer Science 2016-06-24 Domenico Cantone , Marianna Nicolosi-Asmundo , Daniele Francesco Santamaria