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)
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Incoming Citations (Sorted by Pagerank)
Showing 2 of 2 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 3,559 | Incomplete Information and Dependencies in Relational Databases | 1983 | SIGMOD | 6.9759696e-05 |
| 13,034 | On Lossless Transformation of Database Schemes Not Necessarily Satisfying Universal Instance Assumption (preliminary version) | 1984 | PODS | 4.1945683e-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 |
|---|---|---|---|---|
| 38 | Testing Implications Of Data Dependencies | 1979 | SIGMOD | 0.00075110004 |
| 135 | Can We Use The Universal Instance Assumption Without Using Nulls? | 1981 | SIGMOD | 0.00042421957 |
| 2,918 | Notions of Dependency Satisfaction | 1982 | PODS | 7.9051531e-05 |
| 3,019 | On Equivalences of Database Schemes | 1982 | PODS | 7.6994314e-05 |
| 13,061 | A Technique For Translating States Between Database Schemata | 1982 | SIGMOD | 4.1945683e-05 |
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Semantically Similar Papers
| Overall Rank | Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 7,698 | Equivalence of Views by Query Capacity | 1985 | PODS | 4.6749332e-05 |
| 1,196 | On Computing Restricted Projections of Representative Instances | 1985 | PODS | 0.00013403617 |
| 2,692 | Quasi-inverses of Schema Mappings | 2007 | PODS | 8.2908844e-05 |
| 5,989 | Tables As a Paradigm for Querying and Restructuring | 1996 | PODS | 5.2429037e-05 |
| 5,306 | On the Computation of Relational View Complements | 2002 | PODS | 5.5769585e-05 |
| 671 | Algorithms for Translating View Updates to Database Updates for Views Involving Selections, Projections, and Joins | 1985 | PODS | 0.00018370973 |
| 13,061 | A Technique For Translating States Between Database Schemata | 1982 | SIGMOD | 4.1945683e-05 |
| 895 | Updates Of Relational Views | 1983 | PODS | 0.00015534879 |
| 58 | Efficient Optimization of a Class of Relational Expressions | 1978 | SIGMOD | 0.00064826446 |
| 3,228 | View-Based Query Processing for Regular Path Queries with Inverse | 2000 | PODS | 7.3405281e-05 |