We have seen that concurrency and decision are dual concepts in the same sense as logical ‘and’ and logical ‘or’ are dual. Furthermore, the temporal connective ‘first-then’ may exhibit properties of ‘and’ or of ‘or’ according to its use in the context of action (→ plans, tasks, accomplishment) or in the context of states-of-affairs (→ assertions, restrictions, observance). It should have become obvious that these structural properties of fundamental concepts of systems organization are important enough not to be omitted by restricting oneself to purely sequential mathematical models which do not properly exhibit concurrency phenomena.


Atomic Plan Theoretical Computer Science Dual Concept Cessing System Coincidence Class 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1975

Authors and Affiliations

  • Hartmann J. Genrich
    • 1
  1. 1.Gesellschaft fuer Mathematik und DatenverarbeitungSt.Augustin 1

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