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Related papers: Stop the Chase

200 papers

We study the termination problem of the chase algorithm, a central tool in various database problems such as the constraint implication problem, Conjunctive Query optimization, rewriting queries using views, data exchange, and data…

Databases · Computer Science 2009-09-17 Michael Meier , Michael Schmidt , Georg Lausen

The chase is a fundamental algorithm with ubiquitous uses in database theory. Given a database and a set of existential rules (aka tuple-generating dependencies), it iteratively extends the database to ensure that the rules are satisfied in…

Logic in Computer Science · Computer Science 2025-05-23 David Carral , Lukas Gerlach , Lucas Larroque , Michaël Thomazo

The chase procedure is a fundamental algorithmic tool in database theory with a variety of applications. A key problem concerning the chase procedure is all-instances termination: for a given set of tuple-generating dependencies (TGDs), is…

Databases · Computer Science 2019-07-09 Tomasz Gogacz , Jerzy Marcinkowski , Andreas Pieris

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…

Databases · Computer Science 2023-03-24 Marco Calautti , Mostafa Milani , Andreas Pieris

The chase is a ubiquitous algorithm in database theory. However, for existential rules (aka tuple-generating dependencies), its termination is not guaranteed, and even undecidable in general. The problem of termination becomes particularly…

Databases · Computer Science 2025-11-25 Lukas Gerlach , Lucas Larroque , Jerzy Marcinkowski , Piotr Ostropolski-Nalewaja

A lot of research activity has recently taken place around the chase procedure, due to its usefulness in data integration, data exchange, query optimization, peer data exchange and data correspondence, to mention a few. As the chase has…

Databases · Computer Science 2013-03-28 Gosta Grahne , Adrian Onet

The chase is a widely implemented approach to reason with tuple-generating dependencies (tgds), used in data exchange, data integration, and ontology-based query answering. However, it is merely a semi-decision procedure, which may fail to…

Databases · Computer Science 2024-03-29 Philipp Hanisch , Markus Krötzsch

In this paper we take closer look at recent developments for the chase procedure, and provide additional results. Our analysis allows us create a taxonomy of the chase variations and the properties they satisfy. Two of the most central…

Databases · Computer Science 2014-07-10 Gosta Grahne , Adrian Onet

The disjunctive restricted chase is a sound and complete procedure for solving boolean conjunctive query entailment over knowledge bases of disjunctive existential rules. Alas, this procedure does not always terminate and checking if it…

Logic in Computer Science · Computer Science 2023-09-25 Lukas Gerlach , David Carral

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

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…

Logic in Computer Science · Computer Science 2020-05-13 Arash Karimi , Heng Zhang , Jia-Huai You

We show that all--instances termination of chase is undecidable. More precisely, there is no algorithm deciding, for a given set $\cal T$ consisting of Tuple Generating Dependencies (a.k.a. Datalog$^\exists$ program), whether the $\cal…

Databases · Computer Science 2015-12-08 Tomasz Gogacz , Jerzy Marcinkowski

The chase procedure, originally introduced for checking implication of database constraints, and later on used for computing data exchange solutions, has recently become a central algorithmic tool in rule-based ontological reasoning. In…

Databases · Computer Science 2022-04-27 Marco Calautti , Georg Gottlob , Andreas Pieris

The chase algorithm is a fundamental tool for query evaluation and query containment under constraints, where the constraints are (sub-classes of) tuple-generating dependencies (TGDs) and equality generating depencies (EGDs). So far, most…

Logic in Computer Science · Computer Science 2013-11-19 Andrea Cali , Georg Gottlob , Michael Kifer

In the last decade, the term instance-spanning constraint has been introduced in the process mining field to refer to constraints that span multiple process instances of one or several processes. Of particular relevance, in this setting, is…

Databases · Computer Science 2022-06-02 Heba Aamer , Marco Montali , Jan Van den Bussche

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…

Artificial Intelligence · Computer Science 2014-07-28 Jean-François Baget , Fabien Garreau , Marie-Laure Mugnier , Swan Rocher

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…

Logic in Computer Science · Computer Science 2019-11-26 David Carral , Jacopo Urbani

What do applications like semantic optimization, data exchange and integration, answering queries under dependencies, query reformulation with constraints, and data cleaning have in common? All these applications can be processed by the…

Databases · Computer Science 2022-06-06 Tanja Auge , Nic Scharlau , Andreas Görres , Jakob Zimmer , Andreas Heuer

Efficient consistency maintenance of incomplete and dynamic real-life databases is a quality label for further data analysis. In prior work, we tackled the generic problem of database updating in the presence of tuple generating constraints…

Databases · Computer Science 2024-05-16 Jacques Chabin , Mirian Halfeld Ferrari , Nicolas Hiot , Dominique Laurent

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…

Artificial Intelligence · Computer Science 2018-10-23 Stathis Delivorias , Michel Leclere , Marie-Laure Mugnier , Federico Ulliana
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