Database Theory — ICDT’99

Volume 1540 of the series Lecture Notes in Computer Science pp 187-198


On Capturing First-Order Topological Properties of Planar Spatial Databases

  • Bart KuijpersAffiliated withDept. WNI, Limburgs Universitair Centrum
  • , Jan van den BusscheAffiliated withDept. Math. & Computer Sci., University of Antwerp (UIA)

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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.