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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
7993
Venue
VLDB
Year
1987
Pagerank
0.00034607909
Overall Rank
95 | 99.36%
DOI
-

Incoming Non-self Citations Over Time

Authors

BibTeX Citation

@article{dayal_vldb87,
        title = {{Of Nests and Trees: A Unified Approach to Processing Queries That Contain Nested Subqueries, Aggregates, and Quantifiers}},
        author = {Dayal, Umeshwar},
        journal = {PVLDB},
        series = {{VLDB} '87},
        pages = {197--208},
        year = {1987}
}

Incoming Citations (Sorted by Pagerank)

Showing 49 of 49 citing papers.

Rank Citing Paper Year Venue Pagerank
71 Including Group-By in Query Optimization 1994 VLDB 0.00038021159
110 Extensible/Rule Based Query Rewrite Optimization in Starburst 1992 SIGMOD 0.0003309592
132 Predicate Migration: Optimizing Queries with Expensive Predicates 1993 SIGMOD 0.00030378624
198 Aggregate-Query Processing in Data Warehousing Environments 1995 VLDB 0.00025618616
227 Small Materialized Aggregates: A Light Weight Index Structure for Data Warehousing 1998 VLDB 0.00023958508
268 Extensible Query Processing in Starburst 1989 SIGMOD 0.00022788687
290 An Overview of Query Optimization in Relational Systems 1998 PODS 0.0002227038
543 Orthogonal Optimization of Subqueries and Aggregation 2001 SIGMOD 0.0001682612
687 Sequence Query Processing 1994 SIGMOD 0.00014948592
894 Froid: Optimization of Imperative Programs in a Relational Database 2018 VLDB 0.00013367658
1,012 Improved Unnesting Algorithms for Join Aggregate SQL Queries 1992 VLDB 0.00012682631
1,052 Query Graphs, Implementing Trees, and Freely-Reorderable Outerjoins 1990 SIGMOD 0.00012405308
1,124 Query Optimization by Predicate Move-Around 1994 VLDB 0.00012087356
1,176 Outerjoins as Disjunctions 1994 SIGMOD 0.00011809075
1,261 Rewriting Procedures for Batched Bindings 2008 VLDB 0.0001143305
1,410 Magic is Relevant 1990 SIGMOD 0.00010853223
1,743 Algorithms for Materialized View Design in Data Warehousing Environment 1997 VLDB 9.8702732e-05
1,777 Deciding Containment for Queries with Complex Objects (Extended Abstract) 1997 PODS 9.7849758e-05
2,021 WinMagic : Subquery Elimination Using Window Aggregation 2003 SIGMOD 9.297379e-05
2,093 Reusing Invariants: A New Strategy for Correlated Queries 1998 SIGMOD 9.1831198e-05
2,095 Enhanced Subquery Optimizations in Oracle 2009 VLDB 9.1803718e-05
2,385 Groupwise Processing of Relational Queries 1997 VLDB 8.6492848e-05
2,505 A Transformation-Based Approach to Optimizing Loops in Database Programming Languages 1992 SIGMOD 8.4960641e-05
2,599 WideTable: An Accelerator for Analytical Data Processing 2014 VLDB 8.3583572e-05
2,815 Optimization and Dataflow Algorithms for Nested Tree Queries 1989 VLDB 8.0964463e-05
3,263 Hypergraph based reorderings of outer join queries with complex predicates 1995 SIGMOD 7.584572e-05
3,650 Implementation of Magic-sets in a Relational Database System 1994 SIGMOD 7.2249961e-05
3,708 Providing Better Support for a Class of Decision Support Queries 1996 SIGMOD 7.1814701e-05
3,779 EROC: A Toolkit for Building NEATO Query Optimizers 1996 VLDB 7.1326925e-05
3,816 Optimizing Nested Queries with Parameter Sort Orders 2005 VLDB 7.1002641e-05
3,977 Event-Join Optimization in Temporal Relational Databases 1989 VLDB 6.9776413e-05
4,134 Rule Languages and Internal Algebras for Rule-Based Optimizers 1996 SIGMOD 6.8816554e-05
4,418 On the Correct and Complete Enumeration of the Core Search Space 2013 SIGMOD 6.7137462e-05
4,885 Optimizing View Queries in ROLEX to Support Navigable Result Trees 2002 VLDB 6.4624804e-05
5,142 Online Feedback for Nested Aggregate Queries with Multi-Threading 1999 VLDB 6.3482762e-05
5,861 Factorizing Complex Predicates in Queries to Exploit Indexes 2003 SIGMOD 6.0636778e-05
6,072 Towards an Efficient Evaluation of General Queries: Quantifier and Disjunction Processing Revisited 1989 SIGMOD 5.9870797e-05
7,020 The Generalized Pre-Grouping Transformation: Aggregate Query Optimization in the Presence of Dependencies 2003 VLDB 5.7245921e-05
7,148 Optimization of Nested Queries using the NF2 Algebra 2016 SIGMOD 5.6896396e-05
7,183 Optimizing Queries with Universal Quantification in Object-Oriented and Object-Relational Databases 1997 VLDB 5.6793385e-05
7,787 A Practical Approach to Groupjoin and Nested Aggregates 2021 VLDB 5.5449593e-05
8,119 User-Optimizer Communication using Abstract Plans in Sybase ASE 2001 VLDB 5.4835315e-05
8,971 Equivalence of Nested Queries with Mixed Semantics 2009 PODS 5.3420194e-05
10,697 Query Decorrelation in the Fabric Data Warehouse 2025 SIGMOD 5.093636e-05
11,135 Query Optimization by Quantifier Elimination 2024 PODS 5.093636e-05
11,234 Window Function Expression: Let the Self-join Enter 2024 VLDB 5.093636e-05
11,909 Improving Join Reorderability with Compensation Operators 2018 SIGMOD 5.093636e-05
12,727 A Nested Relational Approach to Processing SQL Subqueries 2005 SIGMOD 5.093636e-05
13,095 A Uniform Approach to Processing Temporal Queries 1992 VLDB 5.093636e-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 0.0024089429
10 Extending the Data Base Relational Model to Capture More Meaning 1979 SIGMOD 0.0007727299
15 The Functional Data Model and the Data Language DAPLEX 1979 SIGMOD 0.00061144858
119 The EXODUS Optimizer Generator 1987 SIGMOD 0.0003183602
129 Optimization of Nested SQL Queries Revisited 1987 SIGMOD 0.0003068101
342 R* Optimizer Validation and Performance Evaluation for Distributed Queries 1986 VLDB 0.00020673706
396 R* Optimizer Validation and Performance Evaluation for Local Queries 1986 SIGMOD 0.00019287574
615 A Rule-Based View of Query Optimization 1987 SIGMOD 0.00015720167
745 Access Paths in the "Abe" Statistical Query Facility 1982 SIGMOD 0.00014403889
1,095 An Extended Relational Algebra with Control Over Duplicate Elimination 1982 PODS 0.00012207515
1,887 Extending the Algebraic Framework of Query Processing to Handle Outerjoins 1984 VLDB 9.5347906e-05
2,263 Optimization of Nested Queries in a Distributed Relational Database 1984 VLDB 8.8440084e-05
2,955 Query Processing Strategies in the PASCAL/R Relational Database Management System 1982 SIGMOD 7.9213835e-05
4,530 Processing Queries with Quantifiers: A Horticultural Approach 1983 PODS 6.6446379e-05
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Semantically Similar Papers

# Overall Rank Paper Year Venue
1 9,142 From Nested-Loop to Join Queries in OODB 1994 VLDB
2 1,073 A General Framework for the Optimization of Object-Oriented Queries 1992 SIGMOD
3 1,012 Improved Unnesting Algorithms for Join Aggregate SQL Queries 1992 VLDB
4 11,135 Query Optimization by Quantifier Elimination 2024 PODS
5 2,198 A Recursive Algebra and Query Optimization for Nested Relations 1989 SIGMOD
6 5,951 Query Unnesting in Object-Oriented Databases 1998 SIGMOD
7 7,148 Optimization of Nested Queries using the NF2 Algebra 2016 SIGMOD
8 2,815 Optimization and Dataflow Algorithms for Nested Tree Queries 1989 VLDB
9 129 Optimization of Nested SQL Queries Revisited 1987 SIGMOD
10 12,727 A Nested Relational Approach to Processing SQL Subqueries 2005 SIGMOD