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Equivalence of Nested Queries with Mixed Semantics

Summary: Deciding equivalence of conjunctive nested queries mixing sets, bags, and normalized bags (arbitrary nesting) is NP-complete, via reduction to an “encoding equivalence” problem by encoding nested objects as flat relations. Introduces a normal form using query-implied multivalued dependencies that characterizes interactions between collection types, unifies prior semantics results, and clarifies nested-aggregation behavior. (summarized by gpt-5-mini on Feb 09 2026)

Paper ID
1493
Venue
PODS
Year
2009
Pagerank
4.4604187e-05
Overall Rank
8,699 | 39.55%
DOI
-

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Incoming Citations (Sorted by Pagerank)

Showing 1 of 1 citing papers.

Rank Citing Paper Year Venue Pagerank
3,514 Complete Yet Practical Search for Minimal Query Reformulations Under Constraints 2014 SIGMOD 7.0192177e-05
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Outgoing Citations (Sorted by Pagerank)

Showing 19 of 19 cited papers.

Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.

Rank Cited Paper Year Venue Pagerank
82 Answering Queries Using Views (Extended Abstract) 1995 PODS 0.00054430106
102 Of Nests and Trees: A Unified Approach to Processing Queries That Contain Nested Subqueries, Aggregates, and Quantifiers 1987 VLDB 0.00049592627
142 Testing Containment of Conjunctive Queries Under Functional and Inclusion Dependencies (Extended Abstract) 1982 PODS 0.00041780711
218 Aggregate-Query Processing in Data Warehousing Environments 1995 VLDB 0.00033489004
335 Optimization of Real Conjunctive Queries 1993 PODS 0.00027012705
582 The Complexity of Querying Indefinite Data about Linearly Ordered Domains (Preliminary Version) 1992 PODS 0.00019753367
583 Answering Queries with Aggregation Using Views 1996 VLDB 0.00019705383
607 Extending Query Rewriting Techniques for Fine-Grained Access Control 2004 SIGMOD 0.00019248482
1,059 Answering Complex SQL Queries Using Automatic Summary Tables 2000 SIGMOD 0.00014370009
1,303 Query Optimization by Predicate Move-Around 1994 VLDB 0.00012692678
1,579 Constraint Checking with Partial Information 1994 PODS 0.00011273105
1,959 Deciding Containment for Queries with Complex Objects (Extended Abstract) 1997 PODS 9.958725e-05
2,252 Compiling Mappings to Bridge Applications and Databases 2007 SIGMOD 9.1887678e-05
2,475 Querying Aggregate Data 1999 PODS 8.6942707e-05
3,284 Magic Conditions 1990 PODS 7.2738706e-05
5,196 Equivalence of Queries Combining Set and Bag-Set Semantics 2006 PODS 5.6311982e-05
6,293 Containment of Nested XML Queries 2004 VLDB 5.1206121e-05
6,830 Stacked Indexed Views in Microsoft SQL Server 2005 SIGMOD 4.9081078e-05
7,782 New Techniques for Studying Set Languages, Bag Languages and Aggregate Functions 1994 PODS 4.6479178e-05
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