Expressiveness and Complexity of Order Dependencies
Summary: ODs and UODs over lexicographic orderings; a hierarchy of OD classes with implications for SQL ORDER BY and query optimization. Key results: co-NP-complete inference for UODs/ODs; co-NP for FDs from ODs (linear for FDs from UODs); complete OD-elimination; polynomial inference for UODs on restricted domains. (summarized by gpt-5-nano on Feb 09 2026)
Incoming Non-self Citations Over Time
Authors
- 1. Jaroslaw Szlichta
- 2. Parke Godfrey
- 3. Jarek Gryz
- 4. Calisto Zuzarte
Incoming Citations (Sorted by Pagerank)
Showing 6 of 6 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 4,744 | Effective and Complete Discovery of Order Dependencies via Set-based Axiomatization | 2017 | VLDB | 5.957936e-05 |
| 6,756 | Fast Incremental Discovery of Pointwise Order Dependencies | 2020 | VLDB | 4.9379361e-05 |
| 8,836 | Fast Approximate Denial Constraint Discovery | 2023 | VLDB | 4.4393184e-05 |
| 9,749 | Efficient Differential Dependency Discovery | 2024 | VLDB | 4.2897489e-05 |
| 10,587 | Efficient Discovery of Relaxed Functional Dependencies | 2025 | VLDB | 4.1945683e-05 |
| 10,679 | How and Why False Denial Constraints are Discovered | 2025 | VLDB | 4.1945683e-05 |
Previous
Page 1 / 1
Next
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 |
|---|---|---|---|---|
| 1 | Access Path Selection in a Relational Database Management System | 1979 | SIGMOD | 0.0040449103 |
| 907 | Fundamental Techniques for Order Optimization | 1996 | SIGMOD | 0.00015435983 |
| 2,159 | Sequential Dependencies | 2009 | VLDB | 9.4130956e-05 |
| 3,879 | Applying Approximate Order Dependency to Reduce Indexing Space | 1982 | SIGMOD | 6.6710739e-05 |
| 4,045 | Optimizing Nested Queries with Parameter Sort Orders | 2005 | VLDB | 6.4985218e-05 |
| 6,437 | Fundamentals of Order Dependencies | 2012 | VLDB | 5.0631488e-05 |
Previous
Page 1 / 1
Next
Semantically Similar Papers
| Overall Rank | Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 6,756 | Fast Incremental Discovery of Pointwise Order Dependencies | 2020 | VLDB | 4.9379361e-05 |
| 13,059 | A Theory Of Data Dependencies Over Relational Expressions | 1982 | PODS | 4.1945683e-05 |
| 2,058 | Functional and Inclusion Dependencies: A Graph Theoretic Approach | 1984 | PODS | 9.6585264e-05 |
| 4,778 | Dense-Order Constraint Databases (Extended Abstract) | 1995 | PODS | 5.9290535e-05 |
| 6,651 | Sort Sets in the Relational Model* (extended abstract) | 1983 | PODS | 4.9763125e-05 |
| 3,879 | Applying Approximate Order Dependency to Reduce Indexing Space | 1982 | SIGMOD | 6.6710739e-05 |
| 581 | The Complexity of Querying Indefinite Data about Linearly Ordered Domains (Preliminary Version) | 1992 | PODS | 0.00019767772 |
| 25 | Dependency Inference (Extended Abstract) | 1987 | VLDB | 0.00083101742 |
| 4,744 | Effective and Complete Discovery of Order Dependencies via Set-based Axiomatization | 2017 | VLDB | 5.957936e-05 |
| 6,437 | Fundamentals of Order Dependencies | 2012 | VLDB | 5.0631488e-05 |