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We show that, for OWL 2 QL ontology-mediated queries with (i) ontologies of bounded depth and conjunctive queries of bounded treewidth, (ii) ontologies of bounded depth and bounded-leaf tree-shaped conjunctive queries, and (iii) arbitrary…

Logic in Computer Science · Computer Science 2016-04-19 Meghyn Bienvenu , Stanislav Kikot , Roman Kontchakov , Vladimir V. Podolskii , Michael Zakharyaschev

In logic-based knowledge representation, query answering has essentially replaced mere satisfiability checking as the inferencing problem of primary interest. For knowledge bases in the basic description logic ALC, the computational…

Logic in Computer Science · Computer Science 2021-08-17 Bartosz Bednarczyk , Sebastian Rudolph

Our concern is the problem of efficiently determining the data complexity of answering queries mediated by description logic ontologies and constructing their optimal rewritings to standard database queries. Originated in ontology-based…

Artificial Intelligence · Computer Science 2022-05-06 Olga Gerasimova , Stanislav Kikot , Agi Kurucz , Vladimir Podolskii , Michael Zakharyaschev

We consider ontology-mediated queries (OMQs) based on expressive description logics of the ALC family and (unions) of conjunctive queries, studying the rewritability into OMQs based on instance queries (IQs). Our results include exact…

Artificial Intelligence · Computer Science 2020-10-23 Cristina Feier , Carsten Lutz , Frank Wolter

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 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 study a logic-based approach to versioning of ontologies. Under this view, ontologies provide answers to queries about some vocabulary of interest. The difference between two versions of an ontology is given by the set of queries that…

Logic in Computer Science · Computer Science 2014-01-24 Boris Konev , Michel Ludwig , Dirk Walther , Frank Wolter

Ontological queries are evaluated against an ontology rather than directly on a database. The evaluation and optimization of such queries is an intriguing new problem for database research. In this paper we discuss two important aspects of…

Databases · Computer Science 2011-12-05 Georg Gottlob , Giorgio Orsi , Andreas Pieris

Large language models (LLMs) have shown significant achievements in solving a wide range of tasks. Recently, LLMs' capability to store, retrieve and infer with symbolic knowledge has drawn a great deal of attention, showing their potential…

Artificial Intelligence · Computer Science 2024-10-11 Keyu Wang , Guilin Qi , Jiaqi Li , Songlin Zhai

On the Semantic Web, metadata and ontologies are used to enable computers to read data. The Web Ontology Language (OWL) has been proposed as a standard ontological language, and various inference systems for this language have been studied.…

Logic in Computer Science · Computer Science 2022-08-11 Daiki Takahashi , Ken Kaneiwa

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

GQL has recently emerged as the standard query language over graph databases (particularly, the property graph model). Indeed, this is analogous to the role of SQL for relational databases. Unlike SQL, however, fundamental problems…

Databases · Computer Science 2025-10-23 Diego Figueira , Anthony W. Lin , Liat Peterfreund

We study the problem of query evaluation on probabilistic graphs, namely, tuple-independent probabilistic databases over signatures of arity two. We focus on the class of queries closed under homomorphisms, or, equivalently, the infinite…

Databases · Computer Science 2023-06-22 Antoine Amarilli , İsmail İlkan Ceylan

Ontologies are useful for automatic machine processing of domain knowledge as they represent it in a structured format. Yet, constructing ontologies requires substantial manual effort. To automate part of this process, large language models…

Machine Learning · Computer Science 2024-11-01 Andy Lo , Albert Q. Jiang , Wenda Li , Mateja Jamnik

Definite descriptions are phrases of the form 'the $x$ such that $\varphi$', used to refer to single entities in a context. They are often more meaningful to users than individual names alone, in particular when modelling or querying data…

Logic in Computer Science · Computer Science 2021-06-30 Alessandro Artale , Andrea Mazzullo , Ana Ozaki , Frank Wolter

We study a fitting problem inspired by ontology-mediated querying: given a collection of positive and negative examples of the form $(\mathcal{A},q)$ with $\mathcal{A}$ an ABox and $q$ a Boolean query, we seek an ontology $\mathcal{O}$ that…

Artificial Intelligence · Computer Science 2025-08-18 Maurice Funk , Marvin Grosser , Carsten Lutz

We study complete approximations of an ontology formulated in a non-Horn description logic (DL) such as $\mathcal{ALC}$ in a Horn DL such as~$\mathcal{EL}$. We provide concrete approximation schemes that are necessarily infinite and observe…

Artificial Intelligence · Computer Science 2020-06-17 Anneke Haga , Carsten Lutz , Johannes Marti , Frank Wolter

In ontology-based data access (OBDA), ontologies have been successfully employed for querying possibly unstructured and incomplete data. In this paper, we advocate using ontologies not only to formulate queries and compute their answers,…

Logic in Computer Science · Computer Science 2018-08-09 Medina Andreşel , Yazmin Ibáñez-García , Magdalena Ortiz , Mantas Šimkus

Algorithms for learning database queries from examples and unique characterisations of queries by examples are prominent starting points for developing automated support for query construction and explanation. We investigate how far recent…

Artificial Intelligence · Computer Science 2024-07-30 Jean Christoph Jung , Vladislav Ryzhikov , Frank Wolter , Michael Zakharyaschev

We introduce ontology-mediated planning, in which planning problems are combined with an ontology. Our formalism differs from existing ones in that we focus on a strong separation of the formalisms for describing planning problems and…

Artificial Intelligence · Computer Science 2024-08-15 Tobias John , Patrick Koopmann