On the Power of Algebras with Recursion
Summary: Explores recursion and negation in algebraic query languages, extending beyond fixed-point algebras and stratified deductive programs. Shows that queries expressible by general deduction with negation under valid semantics are captured by algebras with recursive definitions. (summarized by gpt-5-nano on Feb 09 2026)
Incoming Non-self Citations Over Time
Authors
- 1. Catriel Beeri (Hebrew University)
- 2. Tova Milo (INRIA; University of Toronto)
BibTeX Citation
@inproceedings{beeri_sigmod93,
title = {{On the Power of Algebras with Recursion}},
author = {Beeri, Catriel and Milo, Tova},
series = {{SIGMOD} '93},
booktitle = {Proceedings of the {ACM} {SIGMOD} International Conference on Management of Data},
publisher = {Association for Computing Machinery},
doi = {10.1145/170035.170090},
url = {https://dl.acm.org/doi/10.1145/170035.170090},
year = {1993}
}Incoming Citations (Sorted by Pagerank)
Showing 2 of 2 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 2,515 | Towards Tractable Algebras for Bags (Extended Abstract) | 1993 | PODS | 8.3644485e-05 |
| 7,337 | Typed Query Languages for Databases Containing Queries | 1998 | PODS | 5.5492759e-05 |
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Outgoing Citations (Sorted by Pagerank)
Showing 6 of 6 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 1,556 | Unfounded Sets and Well-Founded Semantics for General Logic Programs | 1988 | PODS | 0.00010267435 |
| 1,919 | The Expressiveness of a Family of Finite Set Languages | 1991 | PODS | 9.3781849e-05 |
| 2,515 | Towards Tractable Algebras for Bags (Extended Abstract) | 1993 | PODS | 8.3644485e-05 |
| 3,046 | Tractable Query Languages for Complex Object Databases | 1991 | PODS | 7.7144804e-05 |
| 4,523 | Functional and Predicative programming in OODB's | 1992 | PODS | 6.56223e-05 |
| 8,253 | The Valid Model Semantics for Logic Programs | 1992 | PODS | 5.3679991e-05 |
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| 3 | 8,136 | On the First-Order Expressibility of Recursive Queries | 1989 | PODS |
| 4 | 2,109 | A Study of Transitive Closure As a Recursion Mechanism | 1987 | SIGMOD |
| 5 | 4,735 | Translation and Optimization of Logic Queries: The Algebraic Approach | 1986 | VLDB |
| 6 | 6,689 | Functional Database Query Languages as Typed Lambda Calculi of Fixed Order (Extended Abstract) | 1994 | PODS |
| 7 | 305 | A Graphical Query Language Supporting Recursion | 1987 | SIGMOD |
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