Query Optimization by Quantifier Elimination

Author:

Koch Christoph1ORCID,Lindner Peter1ORCID

Affiliation:

1. École Polytechnique Fédérale de Lausanne, Lausanne, VD, Switzerland

Abstract

Query optimizers have a limited arsenal of techniques for optimizing nested queries. In this paper, we develop a new approach for query optimization based on quantifier elimination. Quantifier elimination is a well-established tool for proving the decidability of logical theories. Here, however, we show that it can be turned into an effective query optimization technique that may yield asymptotic improvements in query processing efficiency. In addition, the technique establishes a foundation for certain well-known but previously little-understood aggregation based techniques for optimizing nested queries.

Publisher

Association for Computing Machinery (ACM)

Reference15 articles.

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3. Herbert B. Enderton. 2001. A Mathematical Introduction to Logic second ed.). Elsevier, San Diego, CA, USA.

4. Optimization of nested SQL queries revisited

5. Wilfrid Hodges. 1993. Model Theory. Cambridge University Press, Cambridge, UK.

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