Linear approximation of planar spatial databases using transitive-closure logic
Summary: Linear approximations of planar polynomial-constraint spatial databases are inexpressible in standard FO constraint queries but definable in FO+transitive closure. An extended transitive-closure logic is complete for computable queries on linear spatial DBs, thus capturing all computable planar topological queries. (summarized by gpt-5-mini on Feb 09 2026)
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Authors
- 1. Floris Geerts (Limburgs Universitair Centrum)
- 2. Bart Kuijpers (Limburgs Universitair Centrum)
BibTeX Citation
@inproceedings{geerts_pods00,
address = {New York, NY, USA},
series = {{PODS} '00},
title = {{Linear approximation of planar spatial databases using transitive-closure logic}},
url = {https://dl.acm.org/doi/10.1145/335168.335215},
doi = {10.1145/335168.335215},
booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
publisher = {Association for Computing Machinery},
author = {Geerts, Floris and Kuijpers, Bart},
year = {2000}
}
Incoming Citations (Sorted by Pagerank)
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Outgoing Citations (Sorted by Pagerank)
Showing 6 of 6 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 3,043 | The DEDALE System for Complex Spatial Queries | 1998 | SIGMOD | 7.8228924e-05 |
| 3,544 | On the Decidability of Semi-Linearity for Semi-Algebraic Sets and its Implications for Spatial Databases (extended abstract) | 1997 | PODS | 7.3264444e-05 |
| 4,203 | An Expressive Language for Linear Spatial Database Queries (extended abstract) | 1998 | PODS | 6.8354052e-05 |
| 4,226 | Safe Constraint Queries | 1998 | PODS | 6.8211482e-05 |
| 4,543 | Exact and Approximate Aggregation in Constraint Query Languages | 1999 | PODS | 6.6388258e-05 |
| 8,559 | Towards Practical Constraint Databases (Extended Abstract) | 1996 | PODS | 5.4119882e-05 |
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