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Of Nests and Trees: A Unified Approach to Processing Queries That Contain Nested Subqueries, Aggregates, and Quantifiers

Summary: Introduces a unified framework for SQL-like queries with nested subqueries, aggregates, and quantifiers, using new algebraic operators beyond Restrict-Project-Join and reducing reliance on tuple substitution. Derives optimization tactics from these algebraic properties to broaden the optimizer’s search space and enable distributed-friendly integration with existing architectures. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID
7802
Venue
VLDB
Year
1987
Pagerank
0.00049624696
Overall Rank
100 | 99.31%
DOI
-

Incoming Non-self Citations Over Time

Authors

Incoming Citations (Sorted by Pagerank)

Showing 49 of 49 citing papers.

Rank Citing Paper Year Venue Pagerank
51 Including Group-By in Query Optimization 1994 VLDB 0.00067123727
106 Extensible/Rule Based Query Rewrite Optimization in Starburst 1992 SIGMOD 0.00048400734
139 Predicate Migration: Optimizing Queries with Expensive Predicates 1993 SIGMOD 0.00042299329
218 Aggregate-Query Processing in Data Warehousing Environments 1995 VLDB 0.00033503922
307 Extensible Query Processing in Starburst 1989 SIGMOD 0.00028211308
368 Small Materialized Aggregates: A Light Weight Index Structure for Data Warehousing 1998 VLDB 0.000254931
454 An Overview of Query Optimization in Relational Systems 1998 PODS 0.00022734812
625 Sequence Query Processing 1994 SIGMOD 0.00018980669
639 Orthogonal Optimization of Subqueries and Aggregation 2001 SIGMOD 0.00018791492
901 Query Graphs, Implementing Trees, and Freely-Reorderable Outerjoins 1990 SIGMOD 0.00015487777
990 Improved Unnesting Algorithms for Join Aggregate SQL Queries 1992 VLDB 0.00014809094
1,032 Outerjoins as Disjunctions 1994 SIGMOD 0.00014544529
1,108 Froid: Optimization of Imperative Programs in a Relational Database 2018 VLDB 0.00013984276
1,302 Query Optimization by Predicate Move-Around 1994 VLDB 0.00012705525
1,423 Magic is Relevant 1990 SIGMOD 0.00012054867
1,456 Rewriting Procedures for Batched Bindings 2008 VLDB 0.00011899772
1,869 WinMagic : Subquery Elimination Using Window Aggregation 2003 SIGMOD 0.00010265836
1,911 Algorithms for Materialized View Design in Data Warehousing Environment 1997 VLDB 0.00010120234
1,927 Reusing Invariants: A New Strategy for Correlated Queries 1998 SIGMOD 0.00010062716
1,948 Groupwise Processing of Relational Queries 1997 VLDB 9.989482e-05
1,952 Deciding Containment for Queries with Complex Objects (Extended Abstract) 1997 PODS 9.9677831e-05
2,412 WideTable: An Accelerator for Analytical Data Processing 2014 VLDB 8.8726508e-05
2,504 Enhanced Subquery Optimizations in Oracle 2009 VLDB 8.6351917e-05
2,632 A Transformation-Based Approach to Optimizing Loops in Database Programming Languages 1992 SIGMOD 8.4074026e-05
2,719 Optimization and Dataflow Algorithms for Nested Tree Queries 1989 VLDB 8.2398923e-05
3,339 Hypergraph based reorderings of outer join queries with complex predicates 1995 SIGMOD 7.2038026e-05
3,404 EROC: A Toolkit for Building NEATO Query Optimizers 1996 VLDB 7.1321923e-05
3,676 Providing Better Support for a Class of Decision Support Queries 1996 SIGMOD 6.8547125e-05
3,701 Optimizing View Queries in ROLEX to Support Navigable Result Trees 2002 VLDB 6.8301363e-05
3,998 Event-Join Optimization in Temporal Relational Databases 1989 VLDB 6.5472662e-05
4,032 Rule Languages and Internal Algebras for Rule-Based Optimizers 1996 SIGMOD 6.5117637e-05
4,045 Optimizing Nested Queries with Parameter Sort Orders 2005 VLDB 6.4985218e-05
4,199 Implementation of Magic-sets in a Relational Database System 1994 SIGMOD 6.3662839e-05
4,896 Online Feedback for Nested Aggregate Queries with Multi-Threading 1999 VLDB 5.8469503e-05
4,938 On the Correct and Complete Enumeration of the Core Search Space 2013 SIGMOD 5.8184655e-05
6,072 Factorizing Complex Predicates in Queries to Exploit Indexes 2003 SIGMOD 5.2257599e-05
6,090 Towards an Efficient Evaluation of General Queries: Quantifier and Disjunction Processing Revisited 1989 SIGMOD 5.2148332e-05
6,672 Optimization of Nested Queries using the NF2 Algebra 2016 SIGMOD 4.9669223e-05
6,837 The Generalized Pre-Grouping Transformation: Aggregate-Query Optimization in the Presence of Dependencies 2003 VLDB 4.9111342e-05
7,079 Optimizing Queries with Universal Quantification in Object-Oriented and Object-Relational Databases 1997 VLDB 4.8418318e-05
8,016 User-Optimizer Communication using Abstract Plans in Sybase ASE 2001 VLDB 4.6050078e-05
8,680 A Practical Approach to Groupjoin and Nested Aggregates 2021 VLDB 4.4694927e-05
8,704 Equivalence of Nested Queries with Mixed Semantics 2009 PODS 4.4647149e-05
10,412 Query Decorrelation in the Fabric Data Warehouse 2025 SIGMOD 4.1945683e-05
10,914 Query Optimization by Quantifier Elimination 2024 PODS 4.1945683e-05
11,023 Window Function Expression: Let the Self-join Enter 2024 VLDB 4.1945683e-05
11,705 Improving Join Reorderability with Compensation Operators 2018 SIGMOD 4.1945683e-05
12,534 A Nested Relational Approach to Processing SQL Subqueries 2005 SIGMOD 4.1945683e-05
12,901 A Uniform Approach to Processing Temporal Queries 1992 VLDB 4.1945683e-05
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Outgoing Citations (Sorted by Pagerank)

Showing 14 of 14 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 Access Path Selection in a Relational Database Management System 1979 SIGMOD 0.0040449103
8 Extending the Data Base Relational Model to Capture More Meaning 1979 SIGMOD 0.0015385917
12 The Functional Data Model and the Data Language DAPLEX 1979 SIGMOD 0.0011248121
130 Optimization of Nested SQL Queries Revisited 1987 SIGMOD 0.00044031247
132 The EXODUS Optimizer Generator 1987 SIGMOD 0.00042994082
196 R* Optimizer Validation and Performance Evaluation for Distributed Queries 1986 VLDB 0.00035261496
268 R* Optimizer Validation and Performance Evaluation for Local Queries 1986 SIGMOD 0.00029662304
479 Access Paths in the "Abe" Statistical Query Facility 1982 SIGMOD 0.00022217448
594 A Rule-Based View of Query Optimization 1987 SIGMOD 0.00019534507
837 An Extended Relational Algebra with Control Over Duplicate Elimination 1982 PODS 0.00016097758
1,451 Extending the Algebraic Framework of Query Processing to Handle Outerjoins 1984 VLDB 0.00011922302
2,705 Query Processing Strategies in the PASCAL/R Relational Database Management System 1982 SIGMOD 8.2681571e-05
2,775 Optimization of Nested Queries in a Distributed Relational Database 1984 VLDB 8.1334572e-05
4,352 Processing Queries with Quantifiers: A Horticultural Approach 1983 PODS 6.2638329e-05
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Overall Rank Paper Year Venue Pagerank
9,084 From Nested-Loop to Join Queries in OODB 1994 VLDB 4.3996109e-05
1,199 A General Framework for the Optimization of Object-Oriented Queries 1992 SIGMOD 0.00013354204
990 Improved Unnesting Algorithms for Join Aggregate SQL Queries 1992 VLDB 0.00014809094
10,914 Query Optimization by Quantifier Elimination 2024 PODS 4.1945683e-05
5,662 Query Unnesting in Object-Oriented Databases 1998 SIGMOD 5.3838456e-05
2,110 A Recursive Algebra and Query Optimization for Nested Relations 1989 SIGMOD 9.5315487e-05
6,672 Optimization of Nested Queries using the NF2 Algebra 2016 SIGMOD 4.9669223e-05
2,719 Optimization and Dataflow Algorithms for Nested Tree Queries 1989 VLDB 8.2398923e-05
130 Optimization of Nested SQL Queries Revisited 1987 SIGMOD 0.00044031247
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