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Towards Tractable Algebras for Bags (Extended Abstract)
Summary: Extends the nested-relation algebra to bags and analyzes how duplicates and nesting depth change expressive power and complexity. Proves bag algebra strictly more expressive than nested relations at all nesting depths and establishes an expression-structure hierarchy linked to powerset properties.
(summarized by gpt-5-mini on Feb 09 2026)
- Paper ID
- 987
- Venue
- PODS
- Year
- 1993
- Pagerank
- 8.5701687e-05
- Overall Rank
- 2,546 | 82.29%
- DOI
-
-
Incoming Non-self Citations Over Time
Incoming Citations (Sorted by Pagerank)
Showing 9 of 9 citing papers.
| Rank |
Citing Paper |
Year |
Venue |
Pagerank |
| 481 |
Incremental Maintenance of Views with Duplicates |
1995 |
SIGMOD |
0.00022167223 |
| 1,412 |
A Query Language for Multidimensional Arrays: Design, Implementation, and Optimization Techniques |
1996 |
SIGMOD |
0.00012122159 |
| 1,421 |
Algorithms for Deferred View Maintenance |
1996 |
SIGMOD |
0.0001205793 |
| 4,285 |
A Query Language for List-Based Complex Objects |
1994 |
PODS |
6.2913523e-05 |
| 4,611 |
On the Complexity of Nonrecursive XQuery and Functional Query Languages on Complex Values |
2005 |
PODS |
6.0488752e-05 |
| 6,539 |
On the Power of Algebras with Recursion |
1993 |
SIGMOD |
5.02287e-05 |
| 7,782 |
New Techniques for Studying Set Languages, Bag Languages and Aggregate Functions |
1994 |
PODS |
4.6523963e-05 |
| 12,799 |
Normalizing Incomplete Databases |
1995 |
PODS |
4.1945683e-05 |
| 12,828 |
Tutorial: Languages for Collection Types |
1994 |
PODS |
4.1945683e-05 |
Outgoing Citations (Sorted by Pagerank)
Showing 12 of 12 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank |
Cited Paper |
Year |
Venue |
Pagerank |
| 445 |
The Magic of Duplicates and Aggregates |
1990 |
VLDB |
0.0002294367 |
| 603 |
A Data Model and Query Language for EXODUS |
1988 |
SIGMOD |
0.00019351031 |
| 837 |
An Extended Relational Algebra with Control Over Duplicate Elimination |
1982 |
PODS |
0.00016097758 |
| 2,395 |
Algebraic Properties of Bag Data Types |
1991 |
VLDB |
8.8998019e-05 |
| 2,515 |
Untyped Sets, Invention, and Computable Queries |
1989 |
PODS |
8.6128871e-05 |
| 2,553 |
Possibilities and Limitations of Using Flat Operators in Nested Algebra Expressions |
1988 |
PODS |
8.5500139e-05 |
| 2,800 |
On the Expressive Power of Database Queries with Intermediate Types |
1988 |
PODS |
8.1019352e-05 |
| 3,040 |
Tractable Query Languages for Complex Object Databases |
1991 |
PODS |
7.6707607e-05 |
| 3,364 |
Multirelations - Semantics and Languages |
1985 |
VLDB |
7.1731086e-05 |
| 4,381 |
Functional and Predicative programming in OODB's |
1992 |
PODS |
6.2389434e-05 |
| 4,894 |
The Expressive Power of Structured Values in Pure OODB's (extended abstract) |
1991 |
PODS |
5.8477088e-05 |
| 6,539 |
On the Power of Algebras with Recursion |
1993 |
SIGMOD |
5.02287e-05 |
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1994 |
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On the Expressive Power of Database Queries with Intermediate Types |
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A Recursive Algebra and Query Optimization for Nested Relations |
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Possibilities and Limitations of Using Flat Operators in Nested Algebra Expressions |
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| 5,871 |
Expressiveness of Structured Document Query Languages Based on Attribute Grammars (extended abstract) |
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| 13,419 |
A Dichotomy in the Intensional Expressive Power of Nested Relational Calculi augmented with Aggregate Functions and a Powerset Operator |
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- |
| 7,782 |
New Techniques for Studying Set Languages, Bag Languages and Aggregate Functions |
1994 |
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4.6523963e-05 |
| 3,392 |
The Powerset Algebra As A Result Of Adding Programming Constructs To The Nested Relational Algebra |
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SIGMOD |
7.1485699e-05 |
| 2,395 |
Algebraic Properties of Bag Data Types |
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VLDB |
8.8998019e-05 |