Abstract
Coloured Petri nets are a formal method that allows to create sophisticated event-driven models. In addition, there exists a software tool, called CPN Tools, which provides a support for creation, simulation and state space-based verification of CPN models. An interesting feature of CPN Tools is that it uses CPN ML, a slightly modified version of the SML functional language, for data manipulation. In this chapter we describe basic concepts of Coloured Petri nets (CPN), SML and CPN ML and by means of an example illustrate how CPN ML can be used to build a concrete, timed CPN model from an abstract, low-level Petri net model in such a way that the structure of the abstract model is preserved. We also explore possibilities of already existing SML code utilization in CPN models.
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Notes
- 1.
In fact, Petri invented the formalism more than 20 years earlier, in August 1939, when he used it to describe chemical processes [12].
- 2.
In high-level PN.
- 3.
This is indicated by the thick frame around the transition in Fig. 1.
- 4.
In CPN ML the
operator is replaced by 
, because 
is reserved for so-called delay expressions. - 5.
As defined in Sect. 3.4.
- 6.
See Sect. 5.3 for details.
- 7.
We can use any pair of values, the first one is always for true and the second one for false.
- 8.
In fact, if there are two or more arcs, they can be always replaced by one.
- 9.
Assuming the ordering p1, p2, p3, p4 of places. The symbol \(\emptyset \) denotes an empty multiset.
operator is replaced by 
, because 
is reserved for so-called delay expressions.References
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Korečko, Š. (2019). Functional Languages in Design of Coloured Petri Nets Models. In: Zsók, V., Porkoláb, Z., Horváth, Z. (eds) Central European Functional Programming School. CEFP 2015. Lecture Notes in Computer Science(), vol 10094. Springer, Cham. https://doi.org/10.1007/978-3-030-28346-9_6
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