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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

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

Description Logics are knowledge representation formalisms that provide, for example, the logical underpinning of the W3C OWL standards. Conjunctive queries, the standard query language in databases, have recently gained significant…

Logic in Computer Science · Computer Science 2014-01-17 Sebastian Rudolph , Birte Glimm

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

We introduce and investigate the expressive description logic (DL) ALCSCC++, in which the global and local cardinality constraints introduced in previous papers can be mixed. On the one hand, we prove that this does not increase the…

Logic in Computer Science · Computer Science 2020-02-17 Franz Baader , Bartosz Bednarczyk , Sebastian Rudolph

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

Standard Description Logics (DLs) can encode quantitative aspects of an application domain through either number restrictions, which constrain the number of individuals that are in a certain relationship with an individual, or concrete…

Logic in Computer Science · Computer Science 2025-05-28 Franz Baader , Stefan Borgwardt , Filippo De Bortoli , Patrick Koopmann

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

Aiming to harmonise finite and infinite model reasoning, we initiate the study of partially finite models, where the reasoning task comes with a formula that specifies a part of the model that must be finite. We focus on the problem of…

Logic in Computer Science · Computer Science 2026-04-29 Tomasz Gogacz , Filip Murlak , Marcin Przybyłko , Alexandra Rogova , Michał Skrzypczak

Reasoning with minimal models has always been at the core of many knowledge representation techniques, but we still have only a limited understanding of this problem in Description Logics (DLs). Minimization of some selected predicates,…

Artificial Intelligence · Computer Science 2025-08-08 Federica Di Stefano , Quentin Manière , Magdalena Ortiz , Mantas Šimkus

DL^N is a recent approach that extends description logics with defeasible reasoning capabilities. In this paper we provide an overview on DL^N, illustrating the underlying knowledge engineering requirements as well as the characteristic…

Artificial Intelligence · Computer Science 2020-09-18 Piero A. Bonatti , Iliana M. Petrova , Luigi Sauro

Fuzzy Description Logics (DLs) provide a means for representing vague knowledge about an application domain. In this paper, we study fuzzy extensions of conjunctive queries (CQs) over the DL $\mathcal{SROIQ}$ based on finite chains of…

Logic in Computer Science · Computer Science 2015-10-15 Stefan Borgwardt , Theofilos Mailis , Rafael Peñaloza , Anni-Yasmin Turhan

We study privacy-preserving query answering in Description Logics (DLs). Specifically, we consider the approach of controlled query evaluation (CQE) based on the notion of instance indistinguishability. We derive data complexity results for…

Artificial Intelligence · Computer Science 2020-04-27 Gianluca Cima , Domenico Lembo , Riccardo Rosati , Domenico Fabio Savo

Description Logics (DLs) are a family of knowledge representation formalisms mainly characterised by constructors to build complex concepts and roles from atomic ones. Expressive role constructors are important in many applications, but can…

Logic in Computer Science · Computer Science 2007-05-23 Ian Horrocks , Ulrike Sattler , Stephan Tobies

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

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

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

Description logics (DLs) are well-known knowledge representation formalisms focused on the representation of terminological knowledge. Due to their first-order semantics, these languages (in their classical form) are not suitable for…

Logic in Computer Science · Computer Science 2020-09-29 Leonard Botha , Thomas Meyer , Rafael Peñaloza

Description Logics (DLs) are a family of knowledge representation formalisms mainly characterised by constructors to build complex concepts and roles from atomic ones. Expressive role constructors are important in many applications, but can…

Logic in Computer Science · Computer Science 2007-05-23 Ian Horrocks , Ulrike Sattler , Stephan Tobies

Description Logics (DLs) are appropriate, widely used, logics for managing structured knowledge. They allow reasoning about individuals and concepts, i.e. set of individuals with common properties. Typically, DLs are limited to dealing with…

Artificial Intelligence · Computer Science 2016-11-17 Haibin Wang , Andre Rogatko , Florentin Smarandache , Rajshekhar Sunderraman
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