Title
The Formalization Of Decision-Free Petri Net
Abstract
In this article we formalize the definition of Decision-Free Petri Net (DFPN) presented in [19]. Then we formalize the concept of directed path and directed circuit nets in Petri nets to prove properties of DFPN. We also present the definition of firing transitions and transition sequences with natural numbers marking that always check whether transition is enabled or not and after firing it only removes the available tokens (i.e., it does not remove from zero number of tokens). At the end of this article, we show that the total number of tokens in a circuit of decision-free Petri net always remains the same after firing any sequences of the transition.
Year
DOI
Venue
2014
10.2478/forma-2014-0004
FORMALIZED MATHEMATICS
Keywords
Field
DocType
specification and verification of discrete systems, Petri net
Discrete mathematics,Natural number,Petri net,Stochastic Petri net,Theoretical computer science,Mathematics
Journal
Volume
Issue
ISSN
22
1
1898-9934
Citations 
PageRank 
References 
0
0.34
1
Authors
3
Name
Order
Citations
PageRank
Pratima K. Shah100.34
Pauline N. Kawamoto200.34
Mariusz Giero300.34