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A Mathematical Systems—Theory of Database Systems

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Current Topics in Cybernetics and Systems

Abstract

The various aspects of database systems are formalized. An information base is described as a projection of a part of the real world which follows certain semantical constraints. The concepts of the external and internal model of a database are integrated in this theory. Furthermore, interactions (add, modify, delete and retrieve) on databases are defined exactly with the help of this generalized conception.

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References

  1. P. A. Bernstein, “Comment on ‘Decomposition of a Data Base and the Theory of Boolean Switching Functions” IBM J. Res. Develop. (21 May, 1977).

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  2. R. Carnap, Meaning and Necessity (Chicago, 2nd. ed., 1956).

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  3. C. Delobel and R. G. Casey, “Decomposition of a Data Base and the Theory of Boolean Switching Functions” IBM J. Res. Develop. 17, 374 (1973).

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  4. P. F. Rennert, A. M. Tjoa, G. Vinek and R. R. Wagner, “A Data Manipulation Language Based on a Relational Model for the Preparation of Statistical Analysis” COMPSTAT 379-387 (1976).

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  5. A. M. Tjoa and R. R. Wagner, “Eine, einem relationalen Datenmodell zugrundeliegenden Datenmanipulationssprache einer medizinischen Datenbank für den Kliniker” Proc. of the 26 th GMDS Congress (Göttingen, 1977).

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  6. A. M. Tjoa and R. R. Wagner, “The Conception of a Virtual Retrieval Machine as a Systemtheoretical Approach for Queries on Relational Data Bases” in: Proc. of the Fourth European Meeting on Cybernetics and Systems Research (Hemisphere Publ. Co., Washington, D.C., 1978).

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Author information

Authors and Affiliations

  1. Statistical Institute, Vienna University, Vienna, Austria

    A. M. Tjoa

  2. Statistical and Informatics Institute, University of Linz, Linz, Austria

    R. R. Wagner

Authors
  1. A. M. Tjoa
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  2. R. R. Wagner
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Editor information

Editors and Affiliations

  1. W.O.G.S.C., Blackburn, UK

    J. Rose (Director-General) (Director-General)

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© 1978 The World Organisation of General Systems and Cybernetics

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Tjoa, A.M., Wagner, R.R. (1978). A Mathematical Systems—Theory of Database Systems. In: Rose, J. (eds) Current Topics in Cybernetics and Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93104-8_222

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  • DOI: https://doi.org/10.1007/978-3-642-93104-8_222

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-93106-2

  • Online ISBN: 978-3-642-93104-8

  • eBook Packages: Springer Book Archive

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