On the Power of Algebras with Recursion.

Catriel Beeri, Tova Milo: On the Power of Algebras with Recursion. SIGMOD Conference 1993: 377-386
  author    = {Catriel Beeri and
               Tova Milo},
  editor    = {Peter Buneman and
               Sushil Jajodia},
  title     = {On the Power of Algebras with Recursion},
  booktitle = {Proceedings of the 1993 ACM SIGMOD International Conference on
               Management of Data, Washington, D.C., May 26-28, 1993},
  publisher = {ACM Press},
  year      = {1993},
  pages     = {377-386},
  ee        = {, db/conf/sigmod/BeeriM93.html},
  crossref  = {DBLP:conf/sigmod/93},
  bibsource = {DBLP,}


We consider the relationship between the deductive and the functional/algebraic query language paradigms. Previous works considered this subject for a non-recursive algebra, or an algebra with a fixed point operation, and the corresponding class of deductive queries is that defined by stratified programs. We consider here algebraic languages extended by general recursive definitions. We also consider languages that allow non-restricted use of negation. It turns out that recursion and negation in the algebraic paradigm need to be studied together. The semantics used for the comparison is the valid semantics, although other well-known declarative semantics can also be used to derive similar results. We show that the class of queries expressed by general deduction with negation can be captured using algebra with recursive definitions.

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Peter Buneman, Sushil Jajodia (Eds.): Proceedings of the 1993 ACM SIGMOD International Conference on Management of Data, Washington, D.C., May 26-28, 1993. ACM Press 1993 BibTeX , SIGMOD Record 22(2), June 1993

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Serge Abiteboul, Catriel Beeri: The Power of Languages for the Manipulation of Complex Values. VLDB J. 4(4): 727-794(1995) BibTeX
Catriel Beeri: New Data Models and Languages - the Challenge. PODS 1992: 1-15 BibTeX
Catriel Beeri, Tova Milo: Subtyping in OODB's. PODS 1991: 300-314 BibTeX
Catriel Beeri, Tova Milo: Functional and Predicative Programming in OODB's. PODS 1992: 176-190 BibTeX
Catriel Beeri, Raghu Ramakrishnan, Divesh Srivastava, S. Sudarshan: The Valid Model Semantics for Logic Programs. PODS 1992: 91-104 BibTeX
Val Tannen, Peter Buneman, Limsoon Wong: Naturally Embedded Query Languages. ICDT 1992: 140-154 BibTeX
Ashok K. Chandra, David Harel: Horn Clauses Queries and Generalizations. J. Log. Program. 2(1): 1-15(1985) BibTeX
Michael Gelfond, Vladimir Lifschitz: The Stable Model Semantics for Logic Programming. ICLP/SLP 1988: 1070-1080 BibTeX
Stéphane Grumbach, Tova Milo: Towards Tractable Algebras for Bags. PODS 1993: 49-58 BibTeX
Stéphane Grumbach, Victor Vianu: Tractable Query Languages for Complex Object Databases. PODS 1991: 315-327 BibTeX
Richard Hull, Jianwen Su: On the Expressive Power of Database Queries with Intermediate Types. J. Comput. Syst. Sci. 43(1): 219-267(1991) BibTeX
Neil Immerman, Sushant Patnaik, David W. Stemple: The Expressiveness of a Family of Finite Set Languages. PODS 1991: 37-52 BibTeX
Michael Kifer: On Safety, Domain Independence, and Capturability of Database Queries (Preliminary Report). JCDKB 1988: 405-415 BibTeX
James W. Thatcher, Eric G. Wagner, Jesse B. Wright: Data Type Specification: Parameterization and the Power of Specification Techniques. ACM Trans. Program. Lang. Syst. 4(4): 711-732(1982) BibTeX
Jeffrey D. Ullman: Principles of Database and Knowledge-Base Systems, Volume I. Computer Science Press 1988, ISBN 0-7167-8158-1
Contents BibTeX
Allen Van Gelder: Negation as Failure Using Tight Derivations for General Logic Programs. SLP 1986: 127-138 BibTeX
Allen Van Gelder, Kenneth A. Ross, John S. Schlipf: Unfounded Sets and Well-Founded Semantics for General Logic Programs. PODS 1988: 221-230 BibTeX

Referenced by

  1. Frank Neven, Jan Van den Bussche, Dirk Van Gucht, Gottfried Vossen: Typed Query Languages for Databases Containing Queries. PODS 1998: 189-196
  2. Carlos A. Tau, Clara Smith, Claudia Pons, Ana María Monteiro: Formally Speaking About Schemata, Bases, Classes and Objects. DASFAA 1995: 308-317
  3. Stéphane Grumbach, Tova Milo: Towards Tractable Algebras for Bags. PODS 1993: 49-58
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