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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.…

计算机科学中的逻辑 · 计算机科学 2018-10-05 Michel Leclere , Marie-Laure Mugnier , Michael Thomazo , Federico Ulliana

Existential rules are a positive fragment of first-order logic that generalizes function-free Horn rules by allowing existentially quantified variables in rule heads. This family of languages has recently attracted significant interest in…

人工智能 · 计算机科学 2021-01-13 Stathis Delivorias , Michel Leclère , Marie-Laure Mugnier , Federico Ulliana

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…

计算机科学中的逻辑 · 计算机科学 2021-07-19 Camille Bourgaux , David Carral , Markus Krötzsch , Sebastian Rudolph , Michaël Thomazo

Existential rules have been proposed for representing ontological knowledge, specifically in the context of Ontology-Based Query Answering. Entailment with existential rules is undecidable. We focus in this paper on conditions that ensure…

人工智能 · 计算机科学 2014-07-28 Jean-Francois Baget , Fabien Garreau , Marie-Laure Mugnier , Swan Rocher

Existential rules are an expressive knowledge representation language mainly developed to query data. In the literature, they are often supposed to be in some normal form that simplifies technical developments. For instance, a common…

人工智能 · 计算机科学 2022-06-08 David Carral , Lucas Larroque , Marie-Laure Mugnier , Michaël Thomazo

Existential rules have been proposed for representing ontological knowledge, specifically in the context of Ontology- Based Data Access. Entailment with existential rules is undecidable. We focus in this paper on conditions that ensure the…

人工智能 · 计算机科学 2014-07-28 Jean-François Baget , Fabien Garreau , Marie-Laure Mugnier , Swan Rocher

The chase procedure for existential rules is an indispensable tool for several database applications, where its termination guarantees the decidability of these tasks. Most previous studies have focused on the skolem chase variant and its…

计算机科学中的逻辑 · 计算机科学 2020-05-13 Arash Karimi , Heng Zhang , Jia-Huai You

Chase algorithms are indispensable in the domain of knowledge base querying, which enable the extraction of implicit knowledge from a given database via applications of rules from a given ontology. Such algorithms have proved beneficial in…

计算机科学中的逻辑 · 计算机科学 2023-06-06 Tim S. Lyon , Piotr Ostropolski-Nalewaja

The chase is a fundamental tool for existential rules. Several chase variants are known, which differ on how they handle redundancies possibly caused by the introduction of nulls. Given a chase variant, the halting problem takes as input a…

人工智能 · 计算机科学 2018-10-23 Stathis Delivorias , Michel Leclere , Marie-Laure Mugnier , Federico Ulliana

The chase procedure is a fundamental algorithmic tool in databases that allows us to reason with constraints, such as existential rules, with a plethora of applications. It takes as input a database and a set of constraints, and iteratively…

数据库 · 计算机科学 2023-03-24 Marco Calautti , Mostafa Milani , Andreas Pieris

The chase is a sound, complete, but possibly non-terminating algorithm for reasoning with existential rules (aka. tuple-generating dependencies), a highly expressive knowledge representation language. Although the procedure appears simple,…

计算机科学中的逻辑 · 计算机科学 2026-04-27 Lukas Gerlach

Finite chase, or alternatively chase termination, is an important condition to ensure the decidability of existential rule languages. In the past few years, a number of rule languages with finite chase have been studied. In this work, we…

人工智能 · 计算机科学 2015-01-12 Heng Zhang , Yan Zhang , Jia-Huai You

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…

人工智能 · 计算机科学 2020-01-24 Heng Zhang , Yan Zhang , Guifei Jiang

We study reasoning with existential rules to perform query answering over streams of data. On static databases, this problem has been widely studied, but its extension to rapidly changing data has not yet been considered. To bridge this…

人工智能 · 计算机科学 2022-05-05 Jacopo Urbani , Markus Krötzsch , Thomas Eiter

We study the notion of boundedness in the context of positive existential rules, that is, whether there exists an upper bound to the depth of the chase procedure, that is independent from the initial instance. By focussing our attention on…

人工智能 · 计算机科学 2020-06-16 Pierre Bourhis , Michel Leclère , Marie-Laure Mugnier , Sophie Tison , Federico Ulliana , Lily Galois

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…

人工智能 · 计算机科学 2017-01-06 Jean-François Baget , Meghyn Bienvenu , Marie-Laure Mugnier , Swan Rocher

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…

计算复杂性 · 计算机科学 2023-07-25 Georg Gottlob , Marco Manna , Cinzia Marte

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…

计算机科学中的逻辑 · 计算机科学 2025-08-19 Marco Calautti , Marco Console , Andreas Pieris

The chase is a sound and complete algorithm for conjunctive query answering over ontologies of existential rules with equality. To enable its effective use, we can apply acyclicity notions; that is, sufficient conditions that guarantee…

计算机科学中的逻辑 · 计算机科学 2019-11-26 David Carral , Jacopo Urbani

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…

计算机科学中的逻辑 · 计算机科学 2017-07-07 Giovanni Amendola , Nicola Leone , Marco Manna
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