The Restricted and Bounded Fixpoint Closures of the Nested Relational Algebra are Equivalent.

@inproceedings{DBLP:conf/dbpl/GyssensSG95,
  author    = {Marc Gyssens and
               Dan Suciu and
               Dirk Van Gucht},
  editor    = {Paolo Atzeni and
               Val Tannen},
  title     = {The Restricted and Bounded Fixpoint Closures of the Nested Relational
               Algebra are Equivalent},
  booktitle = {Database Programming Languages (DBPL-5), Proceedings of the Fifth
               International Workshop on Database Programming Languages, Gubbio,
               Umbria, Italy, 6-8 September 1995},
  publisher = {Springer},
  series    = {Electronic Workshops in Computing},
  year      = {1995},
  isbn      = {3-540-76086-5},
  pages     = {5},
  ee        = {db/conf/dbpl/GyssensSG95.html},
  crossref  = {DBLP:conf/dbpl/95},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

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References

[1]

Serge Abiteboul, Catriel Beeri: The Power of Languages for the Manipulation of Complex Values. VLDB J. 4(4): 727-794(1995)

[2]

Serge Abiteboul, Catriel Beeri, Marc Gyssens, Dirk Van Gucht: An Introduction to the Completeness of Languages for Complex Objects and Nested Relations. NF² 1987: 117-138

[3]

Serge Abiteboul, Victor Vianu: Datalog Extensions for Database Queries and Updates. J. Comput. Syst. Sci. 43(1): 62-124(1991)

[4]

Serge Abiteboul, Victor Vianu: Generic Computation and Its Complexity. STOC 1991: 209-219

[5]

Val Tannen, Peter Buneman, Limsoon Wong: Naturally Embedded Query Languages. ICDT 1992: 140-154

[6]

E. F. Codd: A Relational Model of Data for Large Shared Data Banks. Commun. ACM 13(6): 377-387(1970)

[7]

Latha S. Colby: A recursive algebra for nested relations. Inf. Syst. 15(5): 567-582(1990)

[8]

...

[9]

Marc Gyssens, Jan Paredaens, Dirk Van Gucht: A uniform approach toward handling atomic and structured information in the nested relational database model. J. ACM 36(4): 790-825(1989)

[10]

Marc Gyssens, Dirk Van Gucht: A Comparison between Algebraic Query Languages for Flat and Nested Databases. Theor. Comput. Sci. 87(2): 263-286(1991)

[11]

Marc Gyssens, Dirk Van Gucht: The Powerset Algebra as a Natural Tool to Handle Nested Database Relations. J. Comput. Syst. Sci. 45(1): 76-103(1992)

[12]

Gerhard Jaeschke, Hans-Jörg Schek: Remarks on the Algebra of Non First Normal Form Relations. PODS 1982: 124-138

[13]

Jan Paredaens, Dirk Van Gucht: Converting Nested Algebra Expressions into Flat Algebra Expressions. ACM Trans. Database Syst. 17(1): 65-93(1992)

[14]

Hans-Jörg Schek, Marc H. Scholl: The relational model with relation-valued attributes. Inf. Syst. 11(2): 137-147(1986)

[15]

Dan Suciu: Bounded Fixpoints for Complex Objects. DBPL 1993: 263-281

[16]

Stan J. Thomas, Patrick C. Fischer: Nested Relational Structures. Advances in Computing Research 3: 269-307(1986)