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In this paper we use results from Computable Set Theory as a means to represent and reason about description logics and rule languages for the semantic web. Specifically, we introduce the description logic $\mathcal{DL}\langle…

Logic in Computer Science · Computer Science 2015-05-11 Domenico Cantone , Cristiano Longo , Marianna Nicolosi-Asmundo , Daniele Francesco Santamaria

We study the enumeration of answers to ontology-mediated queries when the ontology is formulated in a description logic that supports functional roles and the query is a CQ. In particular, we show that enumeration is possible with linear…

Logic in Computer Science · Computer Science 2022-11-29 Carsten Lutz , Marcin Przybylko

In this paper we show that the problem of checking consistency of a knowledge base in the Description Logic ALCM is ExpTime-complete. The M stands for meta-modelling as defined by Motz, Rohrer and Severi. To show our main result, we define…

Logic in Computer Science · Computer Science 2015-11-13 Monica Martinez , Edelweis Rohrer , Paula Severi

Most modern formalisms used in Databases and Artificial Intelligence for describing an application domain are based on the notions of class (or concept) and relationship among classes. One interesting feature of such formalisms is the…

Artificial Intelligence · Computer Science 2009-09-25 G. DeGiacomo , M. Lenzerini

The notion of class is ubiquitous in computer science and is central in many formalisms for the representation of structured knowledge used both in knowledge representation and in databases. In this paper we study the basic issues…

Artificial Intelligence · Computer Science 2011-05-30 D. Calvanese , M. Lenzerini , D. Nardi

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

The aim of this paper is to show how we can handle the Recognising Textual Entailment (RTE) task by using Description Logics (DLs). To do this, we propose a representation of natural language semantics in DLs inspired by existing…

Computation and Language · Computer Science 2007-10-17 Paul Bedaride

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

One of the main reasons to employ a description logic such as EL or EL++ is the fact that it has efficient, polynomial-time algorithmic properties such as deciding consistency and inferring subsumption. However, simply by adding negation of…

Logic in Computer Science · Computer Science 2019-08-29 Marcelo Finger

We consider a logic used to describe sets of configurations of distributed systems, whose network topologies can be changed at runtime, by reconfiguration programs. The logic uses inductive definitions to describe networks with an unbounded…

Logic in Computer Science · Computer Science 2022-04-27 Marius Bozga , Lucas Bueri , Radu Iosif

Ontology-based query answering (OBQA) augments classical query answering in databases by domain knowledge encoded in an ontology. Systems for OBQA use the ontological knowledge to infer new information that is not explicitly given in the…

Logic in Computer Science · Computer Science 2020-03-24 Stefan Borgwardt , Veronika Thost

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

We consider a family U of finite universes. The second order quantifier Q_R, means for each u in U quantifying over a set of n(R)-place relations isomorphic to a given relation. We define a natural partial order on such quantifiers called…

Logic · Mathematics 2007-05-23 Mor Doron , Saharon Shelah

Knowledge bases are widely used for information management, enabling high-impact applications such as web search, question answering, and natural language processing. They also serve as the backbone for automatic decision systems, e.g., for…

Artificial Intelligence · Computer Science 2023-10-05 Leonie Nora Sieger , Stefan Heindorf , Yasir Mahmood , Lukas Blübaum , Axel-Cyrille Ngonga Ngomo

An uncertain database is defined as a relational database in which primary keys need not be satisfied. A repair (or possible world) of such database is obtained by selecting a maximal number of tuples without ever selecting two distinct…

Databases · Computer Science 2013-01-08 Jef Wijsen

In the last 20 years many proposals have been made to incorporate non-monotonic reasoning into description logics, ranging from approaches based on default logic and circumscription to those based on preferential semantics. In particular,…

Artificial Intelligence · Computer Science 2014-04-29 Oliver Fernández Gil

We consider existential rules (aka Datalog+) as a formalism for specifying ontologies. In recent years, many classes of existential rules have been exhibited for which conjunctive query (CQ) entailment is decidable. However, most of these…

Artificial Intelligence · Computer Science 2017-01-06 Jean-François Baget , Meghyn Bienvenu , Marie-Laure Mugnier , Swan Rocher

We study the enumeration of answers to Unions of Conjunctive Queries (UCQs) with optimal time guarantees. More precisely, we wish to identify the queries that can be solved with linear preprocessing time and constant delay. Despite the…

Databases · Computer Science 2025-04-02 Karl Bringmann , Nofar Carmeli

Substructural logics are formal logical systems that omit familiar structural rules of classical and intuitionistic logic such as contraction, weakening, exchange (commutativity), and associativity. This leads to a resource-sensitive…

Logic in Computer Science · Computer Science 2025-05-01 Nikolaos Galatos , Vitor Greati , Revantha Ramanayake , Gavin St. John

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
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