Advertisement

Theory of relations for databases — a tutorial survey

  • J. Rissanen
Communications
Part of the Lecture Notes in Computer Science book series (LNCS, volume 64)

Abstract

This is an account of a theory of relations that has advanced from Codd's relational model of data for databases. The theory developed so far by a number of authors deals with syntactic characterizations of the closed families of functional, multivalued, and general join dependencies that hold in relations. It also deals with representation of relations by a collection of others corresponding to a decomposition of the closed families of constraints.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    E. F. Codd, "A Relational Model of Data for Large Shared Data Banks," Comm. ACM, Vol. 13, No. 6, June 1970, pp. 377–387.CrossRefGoogle Scholar
  2. 2.
    E. F. Codd, "Further Normalization of the Data Base Relational Model," Courant Comp. Sc. Symp. 6: Data Base Systems, Prentice-Hall, N.J., May 1971, pp. 65–98.Google Scholar
  3. 3.
    C. Delobel, "Contributions Theoretique a la Conception d'un Systeme d'informations," Ph.D. thesis, Univ. of Grenoble, Oct. 1973.Google Scholar
  4. 4.
    C. Delobel, "Aspects Theoretiques sur la Structure de l'Information dans une Base de Donneé," Revue Informatique et Rech. Oper. B3, (1971) pp. 37–64.Google Scholar
  5. 5.
    C. Delobel, R. G. Casey, "Decomposition of a Data Base and the Theory of Boolean Switching Functions," IBM J. Res. Dev. 17, 1973, pp. 374–386.Google Scholar
  6. 6.
    W. W. Armstrong, "Dependency Structures of Data Base Relationships," IFIP 74, North-Holland Pub. Co. Amsterdam, 1974, pp. 580–583.Google Scholar
  7. 7.
    R. Fagin, "Multivalued Dependencies and a New Normal Form for Relational Databases," ACM Trans. on Database Systems, Vol. 2, No. 3, Sept. 1977, pp. 262–278.CrossRefGoogle Scholar
  8. 8.
    C. Zaniolo, Analysis and Design of Relational Schemeta for Database Systems, Ph.D. Diss. Tech. Rep. UCLA-ENG-7669 of U. of Cal., Los Angeles, Cal., July 1976.Google Scholar
  9. 9.
    C. Beeri, R. Fagin, and H. J. Howard, "A Complete Axiomatization of Functional and Multivalued Dependencies in Database Relations," ACM SIGMOD Int. Conf. on Management of Data, Toronto, Canada, 1977, pp. 47–61.Google Scholar
  10. 10.
    J. Rissanen, "Independent Components of Relations," ACM Trans. on Database Systems, Vol. 2., No. 4., Dec. 1977.Google Scholar
  11. 11.
    A. V. Aho, C. Beeri, and J. Ullman, "The Theory of Joins in Relational Data Bases," Proc. 19th IEEE Symp. on Foundations of Comp. Sci., 1977.Google Scholar
  12. 12.
    J. Rissanen, "Relations with Functional and Join Dependencies and Their Representation by Independent Components," IBM Res. Rep.Google Scholar
  13. 13.
    P. A. Bernstein, "Normalization and Functional Dependencies in the Relational Data Base Model," Ph.D. Thesis Dept. of Comp. Sci., Univ. of Toronto, Toronto, Canada, 1975.Google Scholar
  14. 14.
    P. A. Bernstein and C. Beeri, "An Algorithmic Approach to Normalization of Relational Database Schemes," TRCSRG-73, Comp. Sci. Res. Group, Univ. of Toronto, Sept. 1976.Google Scholar
  15. 15.
    R. Fagin, "Functional Dependencies in a Relational Database and Propositional Logic," IBM J. Res. Dev., Vol. 21, No. 6, Nov. 1977, pp. 534–544.Google Scholar
  16. 16.
    H. A. Schmid and J. R. Swenson, "On the Semantics of the Relational Data Model," Proc. ACM SIGMOD Conf. W. F. King, Ed., San Jose, Cal., May 1975, pp. 211–223.Google Scholar
  17. 17.
    J. M. Cadiu, "On Semantic Issues in the Relational Model of Data," Proc. Int. Symp. on Math. Found's of Comp. Sc., Gdan'sk, Poland, Lecture Notes in Comp. Sc. Springer-Verlag, Heidelberg, Sept. 1975.Google Scholar
  18. 18.
    I. J. Heath, "Unacceptable File Operations in a Relational Data Base," Proc. 1971 ACM SIGFIDET Workshop on Data Description, Access and Control, San Diego, California, pp. 19–68.Google Scholar
  19. 19.
    A. V. Aho, Y. Sagiv, J. D. Ullman, "Equivalences Among Relational Expressions," (unpublished memorandum, Bell Labs, Murray Hill, N.J.)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1978

Authors and Affiliations

  • J. Rissanen
    • 1
  1. 1.IBM Research LaboratorySan Jose

Personalised recommendations