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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
7803
Venue
VLDB
Year
1987
Pagerank
0.00049592627
Overall Rank
102 | 99.30%
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 0.00067060283
107 Extensible/Rule Based Query Rewrite Optimization in Starburst 1992 SIGMOD 0.00048363446
140 Predicate Migration: Optimizing Queries with Expensive Predicates 1993 SIGMOD 0.00042289025
218 Aggregate-Query Processing in Data Warehousing Environments 1995 VLDB 0.00033489004
309 Extensible Query Processing in Starburst 1989 SIGMOD 0.00028195213
367 Small Materialized Aggregates: A Light Weight Index Structure for Data Warehousing 1998 VLDB 0.00025518228
454 An Overview of Query Optimization in Relational Systems 1998 PODS 0.00022796106
626 Sequence Query Processing 1994 SIGMOD 0.00018961452
640 Orthogonal Optimization of Subqueries and Aggregation 2001 SIGMOD 0.00018780632
898 Query Graphs, Implementing Trees, and Freely-Reorderable Outerjoins 1990 SIGMOD 0.00015476243
991 Improved Unnesting Algorithms for Join Aggregate SQL Queries 1992 VLDB 0.00014797083
1,034 Outerjoins as Disjunctions 1994 SIGMOD 0.00014532543
1,107 Froid: Optimization of Imperative Programs in a Relational Database 2018 VLDB 0.0001397627
1,303 Query Optimization by Predicate Move-Around 1994 VLDB 0.00012692678
1,423 Magic is Relevant 1990 SIGMOD 0.00012047765
1,457 Rewriting Procedures for Batched Bindings 2008 VLDB 0.00011891025
1,871 WinMagic : Subquery Elimination Using Window Aggregation 2003 SIGMOD 0.0001025746
1,911 Algorithms for Materialized View Design in Data Warehousing Environment 1997 VLDB 0.00010117173
1,930 Reusing Invariants: A New Strategy for Correlated Queries 1998 SIGMOD 0.00010052743
1,952 Groupwise Processing of Relational Queries 1997 VLDB 9.9806285e-05
1,959 Deciding Containment for Queries with Complex Objects (Extended Abstract) 1997 PODS 9.958725e-05
2,409 WideTable: An Accelerator for Analytical Data Processing 2014 VLDB 8.867144e-05
2,503 Enhanced Subquery Optimizations in Oracle 2009 VLDB 8.6306662e-05
2,637 A Transformation-Based Approach to Optimizing Loops in Database Programming Languages 1992 SIGMOD 8.399844e-05
2,722 Optimization and Dataflow Algorithms for Nested Tree Queries 1989 VLDB 8.232489e-05
3,338 Hypergraph based reorderings of outer join queries with complex predicates 1995 SIGMOD 7.1990012e-05
3,407 EROC: A Toolkit for Building NEATO Query Optimizers 1996 VLDB 7.1253175e-05
3,678 Providing Better Support for a Class of Decision Support Queries 1996 SIGMOD 6.8482668e-05
3,705 Optimizing View Queries in ROLEX to Support Navigable Result Trees 2002 VLDB 6.8235636e-05
4,005 Event-Join Optimization in Temporal Relational Databases 1989 VLDB 6.5387514e-05
4,039 Rule Languages and Internal Algebras for Rule-Based Optimizers 1996 SIGMOD 6.5056258e-05
4,052 Optimizing Nested Queries with Parameter Sort Orders 2005 VLDB 6.4923e-05
4,198 Implementation of Magic-sets in a Relational Database System 1994 SIGMOD 6.361961e-05
4,902 Online Feedback for Nested Aggregate Queries with Multi-Threading 1999 VLDB 5.8415033e-05
4,939 On the Correct and Complete Enumeration of the Core Search Space 2013 SIGMOD 5.8131374e-05
6,076 Factorizing Complex Predicates in Queries to Exploit Indexes 2003 SIGMOD 5.2207439e-05
6,094 Towards an Efficient Evaluation of General Queries: Quantifier and Disjunction Processing Revisited 1989 SIGMOD 5.2099705e-05
6,672 Optimization of Nested Queries using the NF2 Algebra 2016 SIGMOD 4.9621566e-05
6,836 The Generalized Pre-Grouping Transformation: Aggregate-Query Optimization in the Presence of Dependencies 2003 VLDB 4.9065277e-05
7,075 Optimizing Queries with Universal Quantification in Object-Oriented and Object-Relational Databases 1997 VLDB 4.8371887e-05
8,020 User-Optimizer Communication using Abstract Plans in Sybase ASE 2001 VLDB 4.6005954e-05
8,676 A Practical Approach to Groupjoin and Nested Aggregates 2021 VLDB 4.4652082e-05
8,699 Equivalence of Nested Queries with Mixed Semantics 2009 PODS 4.4604187e-05
10,423 Query Decorrelation in the Fabric Data Warehouse 2025 SIGMOD 4.1905499e-05
10,918 Query Optimization by Quantifier Elimination 2024 PODS 4.1905499e-05
11,026 Window Function Expression: Let the Self-join Enter 2024 VLDB 4.1905499e-05
11,710 Improving Join Reorderability with Compensation Operators 2018 SIGMOD 4.1905499e-05
12,543 A Nested Relational Approach to Processing SQL Subqueries 2005 SIGMOD 4.1905499e-05
12,911 A Uniform Approach to Processing Temporal Queries 1992 VLDB 4.1905499e-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 0.0040465394
7 Extending the Data Base Relational Model to Capture More Meaning 1979 SIGMOD 0.0015464728
12 The Functional Data Model and the Data Language DAPLEX 1979 SIGMOD 0.0011268747
130 Optimization of Nested SQL Queries Revisited 1987 SIGMOD 0.00044001626
134 The EXODUS Optimizer Generator 1987 SIGMOD 0.00043070028
196 R* Optimizer Validation and Performance Evaluation for Distributed Queries 1986 VLDB 0.00035240105
269 R* Optimizer Validation and Performance Evaluation for Local Queries 1986 SIGMOD 0.00029665158
462 Access Paths in the "Abe" Statistical Query Facility 1982 SIGMOD 0.00022568219
592 A Rule-Based View of Query Optimization 1987 SIGMOD 0.0001953183
835 An Extended Relational Algebra with Control Over Duplicate Elimination 1982 PODS 0.00016081611
1,455 Extending the Algebraic Framework of Query Processing to Handle Outerjoins 1984 VLDB 0.00011912375
2,709 Query Processing Strategies in the PASCAL/R Relational Database Management System 1982 SIGMOD 8.2607995e-05
2,784 Optimization of Nested Queries in a Distributed Relational Database 1984 VLDB 8.1263312e-05
4,349 Processing Queries with Quantifiers: A Horticultural Approach 1983 PODS 6.2577871e-05
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Overall Rank Paper Year Venue Pagerank
9,081 From Nested-Loop to Join Queries in OODB 1994 VLDB 4.3953936e-05
1,201 A General Framework for the Optimization of Object-Oriented Queries 1992 SIGMOD 0.00013341955
991 Improved Unnesting Algorithms for Join Aggregate SQL Queries 1992 VLDB 0.00014797083
10,918 Query Optimization by Quantifier Elimination 2024 PODS 4.1905499e-05
5,674 Query Unnesting in Object-Oriented Databases 1998 SIGMOD 5.3787647e-05
2,109 A Recursive Algebra and Query Optimization for Nested Relations 1989 SIGMOD 9.5283567e-05
6,672 Optimization of Nested Queries using the NF2 Algebra 2016 SIGMOD 4.9621566e-05
2,722 Optimization and Dataflow Algorithms for Nested Tree Queries 1989 VLDB 8.232489e-05
130 Optimization of Nested SQL Queries Revisited 1987 SIGMOD 0.00044001626
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