Inverting Relational Expressions - A Uniform And Natural Technique For Various Database Problems
Summary: Introduce inversion of relational expressions via tables to represent f^{-1}(Rep(q)) = { r | f(r) ⊇ q } for expressions with projection, join, and positive selection. Provides a uniform, simpler alternative to tableaux for view problems (dependencies, equivalence, state translation). (summarized by gpt-5-mini on Feb 09 2026)
Incoming Non-self Citations Over Time
No non-self incoming citations found for this paper in this database.
Authors
- 1. Tomasz Imielinski (McGill University)
- 2. Witold Lipski, Jr (Polish Academy of Sciences)
BibTeX Citation
@inproceedings{imielinski_pods83,
address = {New York, NY, USA},
series = {{PODS} '83},
title = {{INVERTING RELATIONAL EXPRESSIONS - A UNIFORM AND NATURAL TECHNIQUE FOR VARIOUS DATABASE PROBLEMS}},
url = {https://dl.acm.org/doi/10.1145/588058.588094},
doi = {10.1145/588058.588094},
booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
publisher = {Association for Computing Machinery},
author = {Imielinski, Tomasz and Witold Lipski, Jr},
year = {1983}
}Incoming Citations (Sorted by Pagerank)
Showing 2 of 2 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 4,198 | Incomplete Information and Dependencies in Relational Databases | 1983 | SIGMOD | 6.7411355e-05 |
| 13,523 | On Lossless Transformation of Database Schemes Not Necessarily Satisfying Universal Instance Assumption (preliminary version) | 1984 | PODS | 4.9793485e-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 |
|---|---|---|---|---|
| 41 | Testing Implications Of Data Dependencies | 1979 | SIGMOD | 0.00045899672 |
| 278 | Can We Use The Universal Instance Assumption Without Using Nulls? | 1981 | SIGMOD | 0.00022313978 |
| 3,342 | On Equivalences of Database Schemes | 1982 | PODS | 7.4053737e-05 |
| 4,964 | Notions of Dependency Satisfaction | 1982 | PODS | 6.337274e-05 |
| 13,551 | A Technique For Translating States Between Database Schemata | 1982 | SIGMOD | 4.9793485e-05 |
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