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Database Theory — ICDT’99

Volume 1540 of the series Lecture Notes in Computer Science pp 83-99

Date:

Decidability of First-Order Logic Queries over Views

  • James BaileyAffiliated withDepartment of Computer Science
  • , Guozhu DongAffiliated withDepartment of Computer Science, The University of Melbourne

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Abstract

We study the problem of deciding satisfiability of first order logic queries over views, our aim being 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 principal result is the identification of an important decidable class of queries over unary conjunctive views. This extends the decidability of the classical class of first order sentences over unary relations (the Löwenheim class). We then demonstrate how extending this class leads to undecidability. In addition to new areas, our work also has relevance to extensions of results for related problems such as query containment, trigger termination, implication of dependencies and reasoning in description logics.

keywords

satisfiability decidability first order logic database queries database views conjunctive queries unary views inequality the Löwenheim class