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We study the problem of fitting a description logic (DL) ontology to a given set of positive and negative examples that take the form of an ABox and a Boolean query. While previous work has investigated this problem for the expressive DLs…

Logic in Computer Science · Computer Science 2026-05-01 Marvin Grosser , Carsten Lutz

We introduce and study several notions of approximation for ontology-mediated queries based on the description logics ALC and ALCI. Our approximations are of two kinds: we may (1) replace the ontology with one formulated in a tractable…

Artificial Intelligence · Computer Science 2022-07-01 Anneke Haga , Carsten Lutz , Leif Sabellek , Frank Wolter

The EL family of Description Logics (DLs) has been the subject of interest in recent years. On the one hand, these DLs are tractable, but fairly inexpressive. On the other hand, these DLs can be used for designing different classes of…

Logic in Computer Science · Computer Science 2015-03-31 M. Fareed Arif , Joao Marques-Silva

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 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 quest for acquiring a formal representation of the knowledge of a domain of interest has attracted researchers with various backgrounds into a diverse field called ontology learning. We highlight classical machine learning and data…

Artificial Intelligence · Computer Science 2021-04-06 Ana Ozaki

Conjunctive query answering over expressive Horn Description Logic ontologies is a relevant and challenging problem which, in some cases, can be addressed by application of the chase algorithm. In this paper, we define a novel acyclicity…

Logic in Computer Science · Computer Science 2018-04-20 David Carral , Cristina Feier , Pascal Hitzler

Ontology embeddings map classes, roles, and individuals in ontologies into $\mathbb{R}^n$, and within $\mathbb{R}^n$ similarity between entities can be computed or new axioms inferred. For ontologies in the Description Logic…

Artificial Intelligence · Computer Science 2026-02-24 Olga Mashkova , Fernando Zhapa-Camacho , Robert Hoehndorf

Ontologies are one of the richest sources of knowledge. Real-world ontologies often contain thousands of axioms and are often human-made. Hence, they may contain inconsistency and incomplete information which may impair classical reasoners…

Artificial Intelligence · Computer Science 2024-05-28 Tilman Hinnerichs , Zhenwei Tang , Xi Peng , Xiangliang Zhang , Robert Hoehndorf

The literature on ontology-mediated query answering (OMQA) has been shaped by two key results: first-order rewritability for DL-Lite, and PTime-hardness of data complexity for essentially every description logic beyond it. This has…

Logic in Computer Science · Computer Science 2026-05-14 Janos Arpasi , Bartosz Jan Bednarczyk , Magdalena Ortiz

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

We investigate the problem of learning description logic ontologies from entailments via queries, using epistemic reasoning. We introduce a new learning model consisting of epistemic membership and example queries and show that polynomial…

Artificial Intelligence · Computer Science 2019-02-12 Ana Ozaki , Nicolas Troquard

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

We study the problem of rewriting an ontology O1 expressed in a DL L1 into an ontology O2 in a Horn DL L2 such that O1 and O2 are equisatisfiable when extended with an arbitrary dataset. Ontologies that admit such rewritings are amenable to…

Artificial Intelligence · Computer Science 2015-04-22 Mark Kaminski , Bernardo Cuenca Grau

Generating vector representations (embeddings) of OWL ontologies is a growing task due to its applications in predicting missing facts and knowledge-enhanced learning in fields such as bioinformatics. The underlying semantics of OWL…

Logic in Computer Science · Computer Science 2024-11-07 Fernando Zhapa-Camacho , Robert Hoehndorf

State constraints in AI Planning globally restrict the legal environment states. Standard planning languages make closed-domain and closed-world assumptions. Here we address open-world state constraints formalized by planning over a…

Artificial Intelligence · Computer Science 2022-03-18 Stefan Borgwardt , Jörg Hoffmann , Alisa Kovtunova , Markus Krötzsch , Bernhard Nebel , Marcel Steinmetz

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

The Logic of Approximate Entailment (LAE) is a graded counterpart of classical propositional calculus, where conclusions that are only approximately correct can be drawn. This is achieved by equipping the underlying set of possible worlds…

Logic · Mathematics 2018-08-31 Francesc Esteva , Lluís Godo , Thomas Vetterlein

Ontology Learning (OL) is the computational task of generating a knowledge base in the form of an ontology given an unstructured corpus whose content is in natural language (NL). Several works can be found in this area most of which are…

Computation and Language · Computer Science 2016-03-09 Sourish Dasgupta , Ankur Padia , Kushal Shah , Prasenjit Majumder

Ontology embeddings map classes, relations, and individuals in ontologies into $\mathbb{R}^n$, and within $\mathbb{R}^n$ similarity between entities can be computed or new axioms inferred. For ontologies in the Description Logic…

Artificial Intelligence · Computer Science 2024-06-27 Olga Mashkova , Fernando Zhapa-Camacho , Robert Hoehndorf
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