Abstract
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.
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References
Genrich, H.J.: Ein systemtheoretischer Beitrag zur Handlungslogik. Interner Bericht der GMD, ISF-03/75, Bonn (1975)
Petri, C.A.: Kommunikation mit Automaten. Schriften des IIM Nr.2, Bonn (1962)
Birkhoff, G.: Lattice theory (third edition). American Mathematical Society, Providence (1967)
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Genrich, H.J. (1975). Extended simple regular expressions. In: Bečvář, J. (eds) Mathematical Foundations of Computer Science 1975 4th Symposium, Mariánské Lázně, September 1–5, 1975. MFCS 1975. Lecture Notes in Computer Science, vol 32. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-07389-2_201
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DOI: https://doi.org/10.1007/3-540-07389-2_201
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