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Finitely Representable Databases.

Stéphane Grumbach, Jianwen Su: Finitely Representable Databases. PODS 1994: 289-300
@inproceedings{DBLP:conf/pods/GrumbachS94,
  author    = {St{\'e}phane Grumbach and
               Jianwen Su},
  editor    = {Victor Vianu},
  title     = {Finitely Representable Databases},
  booktitle = {Proceedings of the Thirteenth ACM SIGACT-SIGMOD-SIGART Symposium
               on Principles of Database Systems, May 24-26, 1994, Minneapolis,
               Minnesota, USA},
  publisher = {ACM Press},
  year      = {1994},
  isbn      = {0-89791-642-5},
  pages     = {289-300},
  ee        = {http://doi.acm.org/10.1145/182591.182654, db/conf/pods/pods94-289.html},
  crossref  = {DBLP:conf/pods/94},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

Abstract

We study classes of infinite but finitely representable databases based on constraints, motivated by new database applications such as geographical databases. The mathematical framework is based on classical decidable first-order theories. We investigate the theory of finitely representable models and prove that it differs strongly from both classical model theory and finite model theory. In particular, we show that most of the well known theorems of either one fail (compactness, completeness, locality, 0/1 laws, etc.). An immediate consequence is the lack of tools to consider the definability of queries in the relational calculus over finitely representable databases. We illustrate this very challenging problem through some classical examples.

Copyright © 1994 by the ACM, Inc., used by permission. Permission to make digital or hard copies is granted provided that copies are not made or distributed for profit or direct commercial advantage, and that copies show this notice on the first page or initial screen of a display along with the full citation.


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Printed Edition

Victor Vianu (Ed.): Proceedings of the Thirteenth ACM SIGACT-SIGMOD-SIGART Symposium on Principles of Database Systems, May 24-26, 1994, Minneapolis, Minnesota, USA. ACM Press 1994, ISBN 0-89791-642-5
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Online Edition: ACM Digital Library

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Journal Edition

Stéphane Grumbach, Jianwen Su: Finitely Representable Databases. J. Comput. Syst. Sci. 55(2): 273-298(1997) CiteSeerX Google scholar pubzone.org BibTeX bibliographical record in XML

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Referenced by

  1. Oscar H. Ibarra, Jianwen Su: On the Containment and Equivalence of Database Queries with Linear Constraints. PODS 1997: 32-43
  2. Jan Paredaens, Bart Kuijpers, Gabriel M. Kuper, Luc Vandeurzen: Eucil, Tarski, and Engler Encompassed (Preliminary Report). DBPL 1997: 1-24
  3. Alexei P. Stolboushkin, Michael A. Taitslin: Linear vs. Order Contstrained Queries Over Rational Databases. PODS 1996: 17-27
  4. Christos H. Papadimitriou, Dan Suciu, Victor Vianu: Topological Queries in Spatial Databases. PODS 1996: 81-92
  5. Stéphane Grumbach, Jianwen Su: Towards Practical Constraint Databases. PODS 1996: 28-39
  6. Michael Benedikt, Guozhu Dong, Leonid Libkin, Limsoon Wong: Relational Expressive Power of Constraint Query Languages. PODS 1996: 5-16
  7. Paris C. Kanellakis: Constraint Programming and Database Languages: A Tutorial. PODS 1995: 46-53
  8. Stéphane Grumbach, Jianwen Su: Dense-Order Constraint Databases. PODS 1995: 66-77
  9. Guozhu Dong, Jianwen Su: Space-Bounded FOIES. PODS 1995: 139-150
  10. Jan Chomicki, Gabriel M. Kuper: Measuring Infinite Relations. PODS 1995: 78-85
  11. Peter Z. Revesz: Datalog Queries of Set Constraint Databases. ICDT 1995: 425-438
  12. Stéphane Grumbach, Zoé Lacroix: Computing Queries on Linear Constraint Databases. DBPL 1995: 11
  13. Serge Abiteboul, Richard Hull, Victor Vianu: Foundations of Databases. Addison-Wesley 1995, ISBN 0-201-53771-0
    Contents
  14. Jan Paredaens, Jan Van den Bussche, Dirk Van Gucht: Towards a Theory of Spatial Database Queries. PODS 1994: 279-288

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