Adding a path connectedness operator to FO+poly (linear)
- 17 Downloads
In the constraint database community FO+poly and FO+linear have been proposed as foundations for spatial database query languages. One of the strengths of this approach is that these languages are a clean and natural generalization of Codd's relational model to a spatial setting. As a result rigorous mathematical study of their expressiveness and complexity can be carried out.
Along this line important geometric queries involving connectivity have been shown to be inexpressible in FO+poly and FO+linear. To address this problem we extend both languages with a parameterized path-connectivity predicate Pconn. We show that FO+linear+Pconn and FO+poly+Pconn[3D] are closed and have PTIME data complexity. We also examine the expressiveness of FO+poly+Pconn and FO+linear+Pconn and show that parity and transitive closure are expressible in each.
Unable to display preview. Download preview PDF.