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An algebra of relations for machine computation

Published:01 January 1975Publication History

ABSTRACT

This paper extends the relational algebra of data bases, presented by Codd [4] and others, in four areas. The first is the use of selector names to remove order dependencies from the columns of a relation. This use of selector names enables us to define a more general class of operations, which include the normal relational operations of union, equi-join etc., as special cases. Thirdly we introduce relations represented algorithmically as well as by a stored set of tuples. Such computed relations cannot always be effectively realised as a finite set of tuples. Finally we consider relational expressions as algorithmic representations of relations and characterize their effectiveness.

References

  1. Boyce, R. F., Chamberlin, D. D., King, W. F. III, Hammer, M. M.: 'Specifying Queries as Relational Expressions: SQUARE', IBM Research Report, RJ 1291, Oct 16 1973.Google ScholarGoogle Scholar
  2. Boyce, R. F., Chamberlin, D. D.: 'A Structured English Query Language', IBM Research Report, RJ 1318, March 1974.Google ScholarGoogle Scholar
  3. Bracchi, G., Fedeli, A., Paolini, P.: 'A Language for a Relational Data Base Management Systems', Proceedings of the Sixth Annual Princeton Conference on Information Sciences and Systems, 1972.Google ScholarGoogle Scholar
  4. Codd, E. F.: 'A Relational Model of Data for Large Shared Data Banks', Comm. ACM 13, June 1970, pp. 377-387. Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. Codd, E. F.: 'Relational Completeness of Data Base Sublanguages'. in 'Data Base Systems', Editor Rustin, Prentice-Hall, 1972.Google ScholarGoogle Scholar
  6. Codd, E. F.: 'Further Normalisation of the Data Base Relational Model', in 'Data Base Systems', Editor Rustin, Prentice-Hall 1972.Google ScholarGoogle Scholar
  7. Earley, J.: 'Relational Level Data Structures for Programming Languages'. Acta Informatica 2, 1973, pp. 293-309.Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. Hall, P. A. V.: 'Common Subexpression Identification in General Algebraic Systems', IBM UKSC Report UKSC0060, August 1974.Google ScholarGoogle Scholar
  9. Hitchcock, P.: 'Fundamental Operations on Relations', IBM UKSC Report, UKSC0051, May 1974.Google ScholarGoogle Scholar
  10. Hitchcock, P. and Park, D. M. R.: 'Induction Rules and Termination Proofs', in Automata, Languages, and Programming, Editor M. Nivat, North-Holland/Elsevier, 1973, pp. 225-251.Google ScholarGoogle Scholar
  11. Lucas, P., Lauer, P., Stigleitner, H., 'Method and Notation for the Formal Definition of Programming Languages', IBM Lab., Vienna, Tech. Rep., TR25.087, June 1968.Google ScholarGoogle Scholar
  12. Rissanen, J., Delobel, C.: 'Decomposition of Files, a basis for data storage and retrieval', IBM Research Report RJ 1220, May 1973.Google ScholarGoogle Scholar
  13. Stocker, P. M., Dearnley, P. A.: 'Self-organising Data Management Systems', The Computer Journal, Vol. 16, no. 2, pp. 100-105.Google ScholarGoogle ScholarCross RefCross Ref

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  • Published in

    cover image ACM Conferences
    POPL '75: Proceedings of the 2nd ACM SIGACT-SIGPLAN symposium on Principles of programming languages
    January 1975
    242 pages
    ISBN:9781450373517
    DOI:10.1145/512976

    Copyright © 1975 ACM

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    Association for Computing Machinery

    New York, NY, United States

    Publication History

    • Published: 1 January 1975

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    POPL '75 Paper Acceptance Rate23of100submissions,23%Overall Acceptance Rate824of4,130submissions,20%

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