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http://hdl.handle.net/1942/633
Title: | Constraint Databases, Data Structures and Efficient Query Evaluation | Authors: | Heintz, Joos KUIJPERS, Bart |
Issue Date: | 2004 | Publisher: | Springer-Verlag | Source: | CONSTRAINT DATABASES, PROCEEDINGS. p. 1-24 | Series/Report: | LECTURE NOTES IN COMPUTER SCIENCE | Series/Report no.: | 3074 | Abstract: | Constraint databases that can be described by boolean combinations of polynomial inequalities over the reals have received ample research attention. In particular, the expressive power of first-order logic over the reals, as a constraint database query language, has been studied extensively. The difficulty of the effective evaluation of first-order queries, usually involving some form of quantifier elimination, has been largely neglected. The contribution of this paper is a discussion of various aspects that influence the efficiency of the evaluation of queries expressible in first-order logic over the reals. We emphasize the importance of data structures and their effect on the complexity of quantifier-elimination. We also propose a novel data model that supports data exploration and visualization as well as efficient query evaluation. In this context, we introduce the concept of sample point query. Finally, we show that a particular kind of sample point query cannot be evaluated in polynomial sequential time by means of branching-parsimonious procedures. Research partially supported by the following Argentinian, Belgian, German and Spanish grants: | Document URI: | http://hdl.handle.net/1942/633 | ISBN: | 3-540-22126-3 | ISSN: | 0302-9743 | ISI #: | 000222323700001 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2005 |
Appears in Collections: | Research publications |
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