Positive Higher-Order Queries

Summary: Embeds positive relational algebra into a simply-typed lambda-calculus to express CQs/UCQs and higher-order, syntax-independent query functionals. Shows decidability and gives exact complexity for equivalence/containment when variables range over positive RA, identifies tractable fragments and provides upper bounds for other target classes. (summarized by gpt-5-mini on Feb 09 2026)

Paper ID: 1504
Venue: PODS
Year: 2010
Pagerank: 4.7902631e-05
Overall Rank: 7,248 | 49.58%
DOI: -

Incoming Non-self Citations Over Time

Authors

Incoming Citations (Sorted by Pagerank)

Showing 3 of 3 citing papers.

Rank	Citing Paper	Year	Venue	Pagerank
3,375	Query Shredding: Efficient Relational Evaluation of Queries over Nested Multisets	2014	SIGMOD	7.1633324e-05
7,275	The Impact of Virtual Views on Containment	2010	VLDB	4.7806552e-05
12,195	HOMES: A Higher-Order Mapping Evaluation System	2011	VLDB	4.1945683e-05

Outgoing Citations (Sorted by Pagerank)

Showing 12 of 12 cited papers.

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

Rank	Cited Paper	Year	Venue	Pagerank
58	Efficient Optimization of a Class of Relational Expressions	1978	SIGMOD	0.00064826446
104	Inclusion dependencies and their interaction with functional dependencies (Extended abstract)	1982	PODS	0.00048766186
144	Testing Containment of Conjunctive Queries Under Functional and Inclusion Dependencies (Extended Abstract)	1982	PODS	0.00041462501
976	Answering Queries Using Limited External Query Processors	1996	PODS	0.0001489085
1,830	Relaxing Join and Selection Queries	2006	VLDB	0.000103862
1,871	Relations with Relation Names as Arguments: Algebra and Calculus	1992	PODS	0.00010259891
1,952	Deciding Containment for Queries with Complex Objects (Extended Abstract)	1997	PODS	9.9677831e-05
2,317	Database Programming in Machiavelli - a Polymorphic Language with Static Type Inference	1989	SIGMOD	9.0409573e-05
4,611	On the Complexity of Nonrecursive XQuery and Functional Query Languages on Complex Values	2005	PODS	6.0488752e-05
6,551	Functional Database Query Languages as Typed Lambda Calculi of Fixed Order (Extended Abstract)	1994	PODS	5.0171671e-05
6,664	Typed Query Languages for Databases Containing Queries	1998	PODS	4.9699875e-05
6,794	Complexity of Nonrecursive Logic Programs with Complex Values	1998	PODS	4.9244886e-05

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2,800	On the Expressive Power of Database Queries with Intermediate Types	1988	PODS	8.1019352e-05
431	On the Complexity of Database Queries (Extended Abstract)	1997	PODS	0.00023370207
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172	Decidability And Expressiveness Aspects Of Logic Queries	1987	PODS	0.00038808816
2,398	Containment and Minimization of Positive Conjunctive Queries in OODB's (Extended Abstract)	1992	PODS	8.8973978e-05
6,551	Functional Database Query Languages as Typed Lambda Calculi of Fixed Order (Extended Abstract)	1994	PODS	5.0171671e-05
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