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Ontology-based query answering (OBQA) asks whether a Boolean conjunctive query is satisfied by all models of a logical theory consisting of a relational database paired with an ontology. The introduction of existential rules (i.e., Datalog…

Logic in Computer Science · Computer Science 2017-07-07 Giovanni Amendola , Nicola Leone , Marco Manna

Existential rule languages are a family of ontology languages that have been widely used in ontology-mediated query answering (OMQA). However, for most of them, the expressive power of representing domain knowledge for OMQA, known as the…

Logic in Computer Science · Computer Science 2021-12-20 Heng Zhang

Rule-based languages lie at the core of several areas of central importance to databases and artificial intelligence such as deductive databases and knowledge representation and reasoning. Disjunctive existential rules (a.k.a. disjunctive…

Logic in Computer Science · Computer Science 2025-08-19 Marco Calautti , Marco Console , Andreas Pieris

Existential rules, a.k.a. dependencies in databases, and Datalog+/- in knowledge representation and reasoning recently, are a family of important logical languages widely used in computer science and artificial intelligence. Towards a deep…

Artificial Intelligence · Computer Science 2020-01-24 Heng Zhang , Yan Zhang , Guifei Jiang

In ontology-based data access (OBDA), the classical database is enhanced with an ontology in the form of logical assertions generating new intensional knowledge. A powerful form of such logical assertions is the tuple-generating…

Artificial Intelligence · Computer Science 2018-08-03 Vernon Asuncion , Yan Zhang , Heng Zhang , Yun Bai , Weisheng Si

Existential rules form an expressive Datalog-based language to specify ontological knowledge. The presence of existential quantification in rule-heads, however, makes the main reasoning tasks undecidable. To overcome this limitation, in the…

Computational Complexity · Computer Science 2023-07-25 Georg Gottlob , Marco Manna , Cinzia Marte

Existential rules are a very popular ontology-mediated query language for which the chase represents a generic computational approach for query answering. It is straightforward that existential rule queries exhibiting chase termination are…

Logic in Computer Science · Computer Science 2021-07-19 Camille Bourgaux , David Carral , Markus Krötzsch , Sebastian Rudolph , Michaël Thomazo

We study consistent query answering in relational databases. We consider an expressive class of schema constraints that generalizes both tuple-generating dependencies and equality-generating dependencies. We establish the complexity of…

Databases · Computer Science 2022-07-20 Lorenzo Marconi , Riccardo Rosati

In this paper, we propose the use of epistemic dependencies to express data protection policies in Controlled Query Evaluation (CQE), which is a form of confidentiality-preserving query answering over ontologies and databases. The resulting…

Artificial Intelligence · Computer Science 2024-05-07 Gianluca Cima , Domenico Lembo , Lorenzo Marconi , Riccardo Rosati , Domenico Fabio Savo

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

An ontology language for ontology mediated query answering (OMQA-language) is universal for a family of OMQA-languages if it is the most expressive one among this family. In this paper, we focus on three families of tractable…

Artificial Intelligence · Computer Science 2019-12-16 Heng Zhang , Yan Zhang , Jia-Huai You , Zhiyong Feng , Guifei Jiang

The need for an ontological layer on top of data, associated with advanced reasoning mechanisms able to exploit the semantics encoded in ontologies, has been acknowledged both in the database and knowledge representation communities. We…

Artificial Intelligence · Computer Science 2014-12-16 Sebastian Rudolph , Michaël Thomazo , Jean-François Baget , Marie-Laure Mugnier

Existential rules, long known as tuple-generating dependencies in database theory, have been intensively studied in the last decade as a powerful formalism to represent ontological knowledge in the context of ontology-based query answering.…

Logic in Computer Science · Computer Science 2018-10-05 Michel Leclere , Marie-Laure Mugnier , Michael Thomazo , Federico Ulliana

Consistent Query Answering (CQA) is an inconsistency-tolerant approach to data access in knowledge bases and databases. The goal of CQA is to provide meaningful (consistent) answers to queries even in the presence of inconsistent…

Artificial Intelligence · Computer Science 2024-04-25 Lorenzo Marconi , Riccardo Rosati

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

Several types of dependencies have been proposed for the static analysis of existential rule ontologies, promising insights about computational properties and possible practical uses of a given set of rules, e.g., in ontology-based query…

Artificial Intelligence · Computer Science 2022-07-21 Larry González , Alex Ivliev , Markus Krötzsch , Stephan Mennicke

We provide an ultimately fine-grained analysis of the data complexity and rewritability of ontology-mediated queries (OMQs) based on an EL ontology and a conjunctive query (CQ). Our main results are that every such OMQ is in AC0,…

Computational Complexity · Computer Science 2019-05-02 Carsten Lutz , Leif Sabellek

In this paper, we explore conjunctive query rewriting, focusing on queries containing universally quantified negation within the framework of disjunctive existential rules. We address the undecidability of the existence of a finite and…

Logic in Computer Science · Computer Science 2023-10-20 Enrique Matos Alfonso , Giorgos Stamou

Ontology-based query answering with existential rules is well understood and implemented for positive queries, in particular conjunctive queries. The situation changes drastically for queries with negation, where there is no agreed-upon…

Logic in Computer Science · Computer Science 2021-12-22 Stefan Ellmauthaler , Markus Krötzsch , Stephan Mennicke

We study the problem to decide, given sets T1,T2 of tuple-generating dependencies (TGDs), also called existential rules, whether T2 is a conservative extension of T1. We consider two natural notions of conservative extension, one pertaining…

Databases · Computer Science 2022-04-25 Jean Christoph Jung , Carsten Lutz , Jerzy Marcinkowski
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