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Department of Computer Science

University of California, Santa Barbara

Abstract

Linear Constraint Databases

by: Stephane Grumbach, Jianwen Su, and Cristophe Tollu

Abstract:

We give an AC/sup 0/ upper bound on the complexity of first-order queries over(infinite) databases defined by restricted linear constraints. This resultenables us to deduce the non-expressibility of various usual queries, such asthe parity of the cardinality of a set or the connectivity of a graph infirst-order logic with linear constraints over the reals.

Keywords:

linear constraints, constraint databases, query languages,expressive power, computational complexity

Date:

February, 1995

Document: 1995-03

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