Abstract
The relationship between graph grammars and Petri nets is the topic of this workshop with the emphasis on work in progress and especially the transfer of concepts between both areas. Both areas are prominent specification formalisms for concurrent and distributed systems. It is well-known that the token game of place-transition nets can be modeled by double pushouts of discrete labeled graphs. This allows to relate basic notions of place-transition nets like marking, enabling, firing, steps, and step sequences to corresponding notions of graph grammars and to transfer semantical concepts from Petri nets to graph grammars. Since a marking of a net on one hand and a graph of a graph grammar on the other hand correspond to the state of a system to be modeled, graph grammars can be seen to generalize place-transition nets by allowing more structured states. The concurrent semantics of graph transformations presented in [BCM+99] of the Handbook of Graph grammars volume 3 and [Bal00] is strongly influenced by corresponding semantical constructions for Petri nets in [Win87].
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Ehrig, H., Padberg, J., Rozenberg, G. (2004). Workshop on Petri Nets and Graph Transformations. In: Ehrig, H., Engels, G., Parisi-Presicce, F., Rozenberg, G. (eds) Graph Transformations. ICGT 2004. Lecture Notes in Computer Science, vol 3256. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30203-2_34
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