A Categorical Approach to General Systems

  • Susanna Ginali
  • Joseph Goguen
Part of the NATO Conference Series book series (NATOCS, volume 5)

Abstract

The purpose of this paper is to sketch a simplified version of Goguen’s general systems theory [4], [2], [3] using graphs and sets instead of categories insofar as possible, accompanied by intuitive motivation and simple examples. We also introduce basic theorems relating some fundamental concepts of system theory but space limitations preclude much background information and all proofs. These details will appear elsewhere.

Keywords

Finite State Machine Categorical Approach Underlying Graph General System Theory State Variable Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    J. A. Goguen, “Complexity of hierarchically organized systems and the structure of musical experiences,” UCLA Computer Science Department Quarterly, 3, No. 4, Oct. 1975.Google Scholar
  2. 2.
    J. A. Goguen, “Objects,” Int. J. General Systems, 1, pp. 237–243, 1975.CrossRefGoogle Scholar
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    J. A. Goguen, “Mathematical representation of hierarchically organized systems,” In: Global Systems Dynamics, edited byGoogle Scholar
  4. E. Attinger, S. Karger, Basel, Switzerland, pp. 112–129, 1970.Google Scholar
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    J. A. Goguen, “Systems and minimal realization,” Proc. 1971 IEEE Conf. on Decision and Control, Miami Beach, Fla., pp. 42–46, 1972.Google Scholar
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    L. A. Zaden, “Outline of a new approach to the analysis of complex systems and decision processes,” IEEE Trans. on Systems, Man, and Cybernetics, 1, pp. 28–44, 1973.Google Scholar
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    S. Mac Lane, Categories for the Working Mathematician, Springer Verlag, New York, 1971.CrossRefGoogle Scholar
  8. 7.
    J. A. Goguen, J. Thatcher, E. Wagner, and J. Wright (ADJ), “A junction between computer science and category theory.” IBM Research Report RC 5369, 1976.Google Scholar

Copyright information

© Springer Science+Business Media New York 1978

Authors and Affiliations

  • Susanna Ginali
    • 1
  • Joseph Goguen
    • 2
  1. 1.Dept. of Computer ScienceIllinois Institute of Tech.ChicagoUSA
  2. 2.Dept. of Computer ScienceUniversity of CaliforniaLos AngelesUSA

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