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 |
|---|---|---|---|---|
| 3,562 | Incomplete Information and Dependencies in Relational Databases | 1983 | SIGMOD | 6.9690605e-05 |
| 13,045 | On Lossless Transformation of Database Schemes Not Necessarily Satisfying Universal Instance Assumption (preliminary version) | 1984 | PODS | 4.1905499e-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 | 0.0007528369 |
| 131 | Can We Use The Universal Instance Assumption Without Using Nulls? | 1981 | SIGMOD | 0.00043719033 |
| 3,023 | On Equivalences of Database Schemes | 1982 | PODS | 7.6919854e-05 |
| 4,842 | Notions of Dependency Satisfaction | 1982 | PODS | 5.8778608e-05 |
| 13,073 | A Technique For Translating States Between Database Schemata | 1982 | SIGMOD | 4.1905499e-05 |
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Semantically Similar Papers
| Overall Rank | Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 7,696 | Equivalence of Views by Query Capacity | 1985 | PODS | 4.6703908e-05 |
| 1,167 | On Computing Restricted Projections of Representative Instances | 1985 | PODS | 0.0001354084 |
| 2,694 | Quasi-inverses of Schema Mappings | 2007 | PODS | 8.2836784e-05 |
| 5,993 | Tables As a Paradigm for Querying and Restructuring | 1996 | PODS | 5.2378977e-05 |
| 5,308 | On the Computation of Relational View Complements | 2002 | PODS | 5.5714815e-05 |
| 672 | Algorithms for Translating View Updates to Database Updates for Views Involving Selections, Projections, and Joins | 1985 | PODS | 0.00018353514 |
| 13,073 | A Technique For Translating States Between Database Schemata | 1982 | SIGMOD | 4.1905499e-05 |
| 893 | Updates Of Relational Views | 1983 | PODS | 0.00015519479 |
| 58 | Efficient Optimization of a Class of Relational Expressions | 1978 | SIGMOD | 0.00064817807 |
| 3,231 | View-Based Query Processing for Regular Path Queries with Inverse | 2000 | PODS | 7.3333516e-05 |