Logical Queries over Views: Decidability and Expressiveness

TitleLogical Queries over Views: Decidability and Expressiveness
Publication TypeJournal Article
Year of Publication2010
AuthorsJames Bailey, Guozhu Dong, Anthony Widjaja
JournalACM Transactions on Computational Logic
Keywordsconjunctive query, containment, database query, database view, decidability, first-order logic, Lowenheim class, monadic logic, ontology reasoning, Satisfiability, unary logic, unary view
Abstract

We study the problem of deciding the satisfiability of first-order logic queries over views, with our aim to delimit the boundary between the decidable and the undecidable fragments of this language. Views currently occupy a central place in database research due to their role in applications such as information integration and data warehousing. Our main result is the identification of a decidable class of first-order queries over unary conjunctive views that general the decidability of the classical class of first-order sentences over unary relations known as the Lowenheim class. We then demonstrate how various extensions of this class lead to undecidability and also provide some expressivity results. Besides its theoretical interest, our new decidable class is potentially interesting for use in applications such as deciding implication of complex dependencies, analysis of a restricted class of active database rules, and ontology reasoning.

Full Text

James Bailey, Guozhu Dong, Anthony Widjaja To. 'Unary First Order Logic Queries Over Views'. ACM Transactions on Computational Logic. 11(2): 2010.
research center: Data Mining Research Lab

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