CONCEPT ADVANTAGES OF DISCRETE EVENT FORMALISM

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Abstract
In this paper we study different timing regimes for a class of morpheme generating systems. These systems were previously analysed in their classical discrete time form:1 in that form they are of the type of developmental systems proposed by Lindenmayer.1,2,3By timing regime we mean rules governing activation of local transitions. The fixed limeslep, globally synchronous regime underlying L-systems are one example and the basis of our previous study. In this paper some other possibilities are considered, naturally expressable in discrete event form. Each of them involves some measure of local synchronisation and variable timing. These various timing regimes are compared with respect to the variability of the morphemes generated by them. This is done by cluster analysis.|It is shown that: (I) the generated morphemes depend more heavily on the timing regime than on the particular state transition function of the cells; (ii) local synchronisation is sufficient to reestablish the seeming complexity and the form variation of the morphemes which is present in the global synchronous case, but is rapidly lost by asynchronisation.