Decidability Problems in Petri Nets with Names and Replication

In this paper we study decidability of several extensions of P/T nets with name creation and/or replication. In particular, we study how to restrict the models of RN systems (P/T nets extended with replication, for which reachability is undecidable) and -RN systems (RN extended with name creation, which are Turing-complete, so that coverability is undecidable), in order to obtain decidability of reachability and coverability, respectively. We prove that if we forbid synchronizations between the different components in a RN system, then reachability is still decidable. Similarly, if we forbid name communication between the different components in a -RN system, or restrict communication so that it is allowed only for a given finite set of names, we obtain decidability of coverability. Finally, we consider a polyadic version of -PN (P/T nets extended with name creation), that we call p-PN, in which tokens are tuples of names. We prove that p-PN are Turing complete, and discuss how the res...

• Type: Journal
• Year: 2010
• Where: FUIN
• Authors: Fernando Rosa Velardo, David de Frutos-Escrig
• Keywords: -RN Systems, FUIN 2010, Polyadic Version, Reachability