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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/605

Title: On capturing first-order topological properties of planar spatial databases
Authors: KUIJPERS, Bart
VAN DEN BUSSCHE, Jan
Issue Date: 1999
Publisher: Springer
Citation: DATABASE THEORY - ICDT'99. p. 187-198
Series/Report: LECTURE NOTES IN COMPUTER SCIENC, 1540
Abstract: Spatial databases are modeled as closed semi-algebraic subsets of the real plane. First-order logic over the reals, expanded with a symbol to address the database, provides a natural language for expressing properties of such databases. Motivated by applications in geographical information systems, this paper investigates the question of which topological properties can be thus expressed. We introduce a novel, two-tiered logic for expressing topological properties, called CL, which is subsumed by first-order logic over the reals. We put forward the question whether the two logics are actually equivalent (when restricting attention to topological properties). We answer this question affirmatively on the class of “region databases”. We also prove a general result which further illustrates the power of the logic CL.
URI: http://hdl.handle.net/1942/605
ISI #: 000082775200013
ISSN: 0302-9743
Type: Journal Contribution
Validation: ecoom, 2000
Appears in Collections: Research publications

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