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A Categorical Semantics for Guarded Petri Nets (2002.02762v2)
Published 29 Jan 2020 in math.CT and cs.DC
Abstract: We build on the correspondence between Petri nets and free symmetric strict monoidal categories already investigated in the literature, and present a categorical semantics for Petri nets with guards. This comes in two flavors: Deterministic and with side-effects. Using the Grothendieck construction, we show how the guard semantics can be internalized in the net itself.