A Categorical Semantics for Hierarchical Petri Nets

  title={A Categorical Semantics for Hierarchical Petri Nets},
  author={Fabrizio Genovese and Jelle Herold},
We show how a particular flavor of hierarchical nets, where the firing of a transition in the parent net must correspond to an execution in some child net, can be modelled utilizing a functorial semantics from a free category – representing the parent net – to the category of sets and spans between them. This semantics can be internalized via Grothendieck construction, resulting in the category of executions of a Petri net representing the semantics of the overall hierarchical net. We conclude… 

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