By H. Weber, H. Ehrig, W. Reisig, A. Borusan (auth.), Hartmut Ehrig, Wolfgang Reisig, Grzegorz Rozenberg, Herbert Weber (eds.)
This state of the art survey within the Advances in Petri Nets sequence reviews how a number of well-established and novel Petri web notions and methods should be hired for modelling communication-based platforms, with a selected specialise in workflow administration and enterprise processes.
The ebook builds at the good fortune of a distinct application of the German technological know-how beginning (DFG) on Petri web expertise in addition to on huge participation from the foreign Petri internet examine community.
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Extra info for Petri Net Technology for Communication-Based Systems: Advances in Petri Nets
Example text
The model transformations printrefP T and transrefP T can be transformed as well yielding transformations printrefAHL and transrefAHL in Figure 11. Then we can further refine the net AHL3 by an AHL net model transformation specrefAHL , which changes the arc inscriptions of AHL3 to the ones of Ready to transmit Sending task Transmission Printing prepared Ready to print Seize Printing completed Printing Release Printer Fig. 9. Refinement of the printer EN2 Tasks Petri Net Transformations in the Petri Net Baukasten 57 AHL4 given in Figure 10 and adds the following specification with a suitable algebra: BOOL+ sorts : P rinter, T ask, Comm, Result opns : printer: → P rinter com: → Comm task1 : → T ask task2 : → T ask equ: T ask T ask → Bool ok: T ask → Result nok: → Result get: Result → T ask vars : t: T ask, r: Result eqns : get(ok(t)) = t equ(t, t) = true In the net AHL4 we are able to model the comparison of the two tasks sent through the insecure channel by inscribing the transition CP with the equation r = if equ(t , t ) then ok(t ) else nok .
Strict marking: for all p ∈ P1 with fP (p) ∈ P2 : fP⊕ (m1 |p ) = m2 |fP (p) 4. for all p ∈ P1 with fP (p) ∈ T2 : fT (•p) = {fP (p)} analogously for the post function ÔÖ Ì½ // ÔÖ ¾ ÔÓ×ؾ ¨ Ƚ ¨ È ´Ì¾ Ì Ì¾ ½ ÔÓ×ؽ Ⱦ ÔÖ // ¨ { µ¨ È ÔÖÆ È¨ Ⱦ Example 1. Examples of abstracting morphisms are shown in Figures 7 a,b. The dashed arrow going from the right-hand side of each rule to the left-hand side represents an abstracting morphism between nets. The subnet in a dotted rectangle on the right-hand side of each rule is abstracted by the abstracting morphism to a single transition Printing, resp.
Rozenberg, H. Ehrig, J. Padberg, and G. Juh´ as, editors, Unifying Petri Nets, Advances in Petri Nets. Springer, LNCS, 2001. 26, 32 [5] Dietmar Wikarski. Petri net tools—a comparative study. Forschungsberichte des Fachbereichs Informatik 97-4, Technische Universit¨ at Berlin, 1997. 27 Petri Net Transformations in the Petri Net Baukasten B. Braatz, H. Ehrig, and M. de Abstract. The purpose of this contribution is to give an overview of constructions and results for Petri net transformations in the Petri Net Baukasten developed by the “DFG-Forschergruppe PetrinetzTechnologie”.
