An Expressive Language for Linear Spatial Database Queries (extended abstract)
Summary: Introduce PFOL, a coordinate-based language sound for linear FO over the reals; SPFOL (safe PFOL-fin) equals SafeEuQL and thus captures classical ruler-and-compass constructions on finite point sets. Provide finite encodings/decodings of semilinear sets and a lifting theorem that moves finite-database query languages to arbitrary linear databases, yielding a syntactic fragment of FO+poly complete for FO+poly-expressible linear queries. (summarized by gpt-5-mini on Feb 09 2026)
Incoming Non-self Citations Over Time
Authors
- 1. Luc Vandeurzen
- 2. Marc Gyssens
- 3. Dirk Van Gucht
Incoming Citations (Sorted by Pagerank)
Showing 5 of 5 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 4,379 | Safe Constraint Queries | 1998 | PODS | 6.2397591e-05 |
| 4,723 | Exact and Approximate Aggregation in Constraint Query Languages | 1999 | PODS | 5.9714196e-05 |
| 5,503 | Expressive power and data complexity of nonrecursive query languages for lists and trees (Extended Abstract) | 2000 | PODS | 5.4738619e-05 |
| 12,683 | Linear approximation of planar spatial databases using transitive-closure logic | 2000 | PODS | 4.1945683e-05 |
| 12,686 | Uniform Generation in Spatial Constraint Databases and Applications | 2000 | PODS | 4.1945683e-05 |
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Outgoing Citations (Sorted by Pagerank)
Showing 8 of 8 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 620 | Constraint Programming and Database Languages: A Tutorial | 1995 | PODS | 0.00019005954 |
| 1,415 | Towards a Theory of Spatial Database Queries (Extended Abstract) | 1994 | PODS | 0.0001211468 |
| 1,741 | Relational Expressive Power of Constraint Query Languages | 1996 | PODS | 0.00010714223 |
| 2,851 | On the Decidability of Semi-Linearity for Semi-Algebraic Sets and its Implications for Spatial Databases (extended abstract) | 1997 | PODS | 8.0155027e-05 |
| 2,970 | Variable Independence and Aggregation Closure | 1996 | PODS | 7.7971058e-05 |
| 3,191 | The LyriC Language: Querying Constraint Objects | 1995 | SIGMOD | 7.4112897e-05 |
| 4,346 | Languages for Relational Databases over Interpreted Structures | 1997 | PODS | 6.2725564e-05 |
| 4,379 | Safe Constraint Queries | 1998 | PODS | 6.2397591e-05 |
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