Relating SPO and DPO graph rewriting
with Petri nets having read, inhibitor and reset arcs

Paolo Baldan(1) - Andrea Corradini(2) - Ugo Montanari(2)

(1)Dipartimento di Informatica, Università Ca' Foscari di Venezia, Italia.
(2)Dipartimento di Informatica, Università di Pisa, Italia.

Abstract:

It belongs to the folklore that graph grammars can be seen as a proper generalisation of Petri nets. In this paper we show how this intuitive relationship can be made formal. The double-pushout approach to graph rewriting turns out to be strictly related to Petri nets with read and inhibitor arcs, while the single-pushout approach has strong connections to Petri nets with read and reset arcs.