Index-Based Multidimensional Array Queries: Safety and Equivalence
Summary: Index-centric array model: arrays as shaped maps with shape constraints and a rule-based language for index reorganizations and aggregations. Safety: tractable non-arithmetic, in P with limited Presburger. Equivalence: monoid cases reduce to index-cores; set-aggregator equivalence via containment maps (P for conjunctive/nonarith, coNP else). (summarized by gpt-5-mini on Feb 09 2026)
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Authors
- 1. Rona Machlin (Panix)
BibTeX Citation
@inproceedings{machlin_pods07,
address = {New York, NY, USA},
series = {{PODS} '07},
title = {{Index-Based Multidimensional Array Queries: Safety and Equivalence}},
url = {https://dl.acm.org/doi/10.1145/1265530.1265555},
doi = {10.1145/1265530.1265555},
booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
publisher = {Association for Computing Machinery},
author = {Machlin, Rona},
year = {2007}
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Outgoing Citations (Sorted by Pagerank)
Showing 10 of 10 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 633 | The Complexity of Querying Indefinite Data about Linearly Ordered Domains (Preliminary Version) | 1992 | PODS | 0.00015560958 |
| 724 | The Multidimensional Database System RasDaMan | 1998 | SIGMOD | 0.00014620119 |
| 869 | Rewriting Aggregate Queries Using Views | 1999 | PODS | 0.00013503594 |
| 1,434 | A Query Language for Multidimensional Arrays: Design, Implementation, and Optimization Techniques | 1996 | SIGMOD | 0.00010800479 |
| 1,909 | A Call to Order | 1993 | PODS | 9.4991504e-05 |
| 2,238 | Deciding Equivalences among Aggregate Queries | 1998 | PODS | 8.8882317e-05 |
| 2,305 | Querying Aggregate Data | 1999 | PODS | 8.7766218e-05 |
| 4,226 | Safe Constraint Queries | 1998 | PODS | 6.8211482e-05 |
| 5,736 | On the Containment and Equivalence of Database Queries with Linear Constraints* (Extended Abstract) | 1997 | PODS | 6.1050534e-05 |
| 7,636 | Query Processing Techniques for Arrays | 1999 | SIGMOD | 5.5769872e-05 |
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