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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

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 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,…

Logic in Computer Science · Computer Science 2026-04-27 Lukas Gerlach

The chase procedure, an algorithm proposed 25+ years ago to fix constraint violations in database instances, has been successfully applied in a variety of contexts, such as query optimization, data exchange, and data integration. Its…

Databases · Computer Science 2009-05-06 Michael Meier , Michael Schmidt , Georg Lausen

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

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 scheduling problem is a key class of optimization problems and has various kinds of applications both in practical and theoretical scenarios. In the scheduling problem, probabilistic analysis is a basic tool for investigating…

Information Theory · Computer Science 2024-01-30 Daiki Suruga

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

Constraint problems can be trivially solved in parallel by exploring different branches of the search tree concurrently. Previous approaches have focused on implementing this functionality in the solver, more or less transparently to the…

Artificial Intelligence · Computer Science 2010-08-26 Lars Kotthoff , Neil C. A. Moore

Programs with constraints are hard to debug. In this paper, we describe a general architecture to help develop new debugging tools for constraint programming. The possible tools are fed by a single general-purpose tracer. A tracer-driver is…

Software Engineering · Computer Science 2007-05-23 Ludovic Langevine , Mireille Ducasse

In this paper, we consider existential rules, an expressive formalism well suited to the representation of ontological knowledge and data-to-ontology mappings in the context of ontology-based data integration. The chase is a fundamental…

Artificial Intelligence · Computer Science 2021-07-14 Maxime Buron , Marie-Laure Mugnier , Michaël Thomazo

Create an idea, prototype it, evaluate if users like it, then learn. It is the circle of business. If AI can operate in all parts of the circle, it will enable rapid iteration and learning speeds for businesses. Experiment platforms that…

Software Engineering · Computer Science 2026-04-28 Jeffrey Wong , Antoine Creux

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…

Logic in Computer Science · Computer Science 2023-06-06 Tim S. Lyon , Piotr Ostropolski-Nalewaja

Constraint programming is used for a variety of real-world optimisation problems, such as planning, scheduling and resource allocation problems. At the same time, one continuously gathers vast amounts of data about these problems. Current…

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

While large-scale distributed data processing platforms have become an attractive target for query processing, these systems are problematic for applications that deal with nested collections. Programmers are forced either to perform…

Databases · Computer Science 2020-11-13 Jaclyn Smith , Michael Benedikt , Milos Nikolic , Amir Shaikhha

This paper presents a programming language which includes paradigms that are usually associated with declarative languages, such as sets, rules and search, into an imperative (functional) language. Although these paradigms are separately…

Programming Languages · Computer Science 2007-05-23 Yves Caseau , Francois-Xavier Josset , Francois Laburthe

Backtracking search is a powerful algorithmic paradigm that can be used to solve many problems. It is in a certain sense the dual of variable elimination; but on many problems, e.g., SAT, it is vastly superior to variable elimination in…

Artificial Intelligence · Computer Science 2012-12-12 Fahiem Bacchus , Shannon Dalmao , Toniann Pitassi

Dataset Search -- the process of finding appropriate datasets for a given task -- remains a critical yet under-explored challenge in data science workflows. Assessing dataset suitability for a task (e.g., training a classification model) is…

Human-Computer Interaction · Computer Science 2025-07-28 Rachel Lin , Bhavya Chopra , Wenjing Lin , Shreya Shankar , Madelon Hulsebos , Aditya G. Parameswaran

Constrained sampling and counting are two fundamental problems in artificial intelligence with a diverse range of applications, spanning probabilistic reasoning and planning to constrained-random verification. While the theory of these…

Artificial Intelligence · Computer Science 2015-12-22 Kuldeep S. Meel , Moshe Vardi , Supratik Chakraborty , Daniel J. Fremont , Sanjit A. Seshia , Dror Fried , Alexander Ivrii , Sharad Malik
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