Fundamentals of Order Dependencies
Summary: Introduces order dependencies (ODs) for lexicographically ordered tuple sets and a complete, sound axiom system. Demonstrates that FDs are subsumed by ODs and uses OD-based rewrites for query optimization; proves the axiom system's completeness and derives several theorems. (summarized by gpt-5-nano on Feb 09 2026)
Incoming Non-self Citations Over Time
Authors
- 1. Jaroslaw Szlichta (International Business Machines Center for Advanced Studies; York University)
- 2. Parke Godfrey (International Business Machines Center for Advanced Studies; York University)
- 3. Jarek Gryz (International Business Machines Center for Advanced Studies; York University)
BibTeX Citation
@article{szlichta_vldb12,
title = {{Fundamentals of Order Dependencies}},
author = {Szlichta, Jaroslaw and Godfrey, Parke and Gryz, Jarek},
journal = {PVLDB},
series = {{VLDB} '12},
volume = {5},
number = {11},
pages = {1220},
doi = {10.14778/2350229.2350241},
url = {https://doi.org/10.14778/2350229.2350241},
year = {2012}
}Incoming Citations (Sorted by Pagerank)
Showing 8 of 8 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 3,420 | Data Profiling – A Tutorial | 2017 | SIGMOD | 7.300051e-05 |
| 4,476 | Effective and Complete Discovery of Order Dependencies via Set-based Axiomatization | 2017 | VLDB | 6.5696859e-05 |
| 5,303 | Fast Approximate Denial Constraint Discovery | 2023 | VLDB | 6.1758652e-05 |
| 6,438 | CtxPipe: Context-aware Data Preparation Pipeline Construction for Machine Learning | 2024 | SIGMOD | 5.7678369e-05 |
| 6,439 | Expressiveness and Complexity of Order Dependencies | 2013 | VLDB | 5.7676676e-05 |
| 6,877 | Fast Incremental Discovery of Pointwise Order Dependencies | 2020 | VLDB | 5.6429454e-05 |
| 8,881 | Rapidash: Efficient Detection of Constraint Violations | 2024 | VLDB | 5.2442249e-05 |
| 10,146 | Efficient Differential Dependency Discovery | 2024 | VLDB | 5.0597449e-05 |
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Outgoing Citations (Sorted by Pagerank)
Showing 5 of 5 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 | 0.0023948467 |
| 726 | Fundamental Techniques for Order Optimization | 1996 | SIGMOD | 0.0001443284 |
| 3,830 | Applying Approximate Order Dependency to Reduce Indexing Space | 1982 | SIGMOD | 6.9770657e-05 |
| 3,874 | Optimizing Nested Queries with Parameter Sort Orders | 2005 | VLDB | 6.9367667e-05 |
| 3,974 | Implementation of Two Semantic Query Optimization Techniques in DB2 Universal Database | 1999 | VLDB | 6.8733375e-05 |
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Semantically Similar Papers
| # | Overall Rank | Paper | Year | Venue |
|---|---|---|---|---|
| 1 | 13,596 | A Theory Of Data Dependencies Over Relational Expressions | 1982 | PODS |
| 2 | 3,536 | Inference Rules for Functional and Inclusion Dependencies | 1983 | PODS |
| 3 | 7,295 | Sort Sets in the Relational Model* (extended abstract) | 1983 | PODS |
| 4 | 8,873 | Workload-driven, Lazy Discovery of Data Dependencies for Query Optimization | 2022 | CIDR |
| 5 | 510 | A Complete Axiomatization For Functional And Multivalued Dependencies In Database Relations | 1977 | SIGMOD |
| 6 | 3,609 | First Order Logic Formalization for Functional, Multivalued and Mutual Dependencies | 1978 | SIGMOD |
| 7 | 211 | Dependency Inference | 1987 | VLDB |
| 8 | 3,830 | Applying Approximate Order Dependency to Reduce Indexing Space | 1982 | SIGMOD |
| 9 | 4,476 | Effective and Complete Discovery of Order Dependencies via Set-based Axiomatization | 2017 | VLDB |
| 10 | 6,439 | Expressiveness and Complexity of Order Dependencies | 2013 | VLDB |