Title :
Petri Nets Representing the Evolution of Elementary Cellular Automata
Author :
Barraga?Œ??n, I. ; Tuoh, J.C.S. ; Medina, J.
Author_Institution :
Univ. Autonoma del Estado de Hidalgo, Hidalgo, Mexico
Abstract :
A Petri net (PN) is a directed graph which consists of two kinds of nodes called places and transitions. Besides their graphical representation, PN possess a mathematical formalism based on the incidence matrix and the state equation. In this paper we show that PN can be used as a general tool to represent the evolution of any elementary cellular automaton (ECA). This is performed by matrix operations obtained from the state equation of the PN which represent the cellular automaton and the use of a logical operator. It is presented an algorithm to construct a PN for any ECA and we give some comparative examples between the evolution of markings of the PN and the evolution of the respective ECA.
Keywords :
Petri nets; cellular automata; matrix algebra; ECA; PN; Petri nets; directed graph; elementary cellular automata evolution; incidence matrix; logical operator; place; state equation; transition; Adaptation models; Automata; Biological system modeling; Mathematical model; Matrices; Petri nets; Silicon compounds; Petri nets; elementary cellular automata; matrix operations;
Journal_Title :
Latin America Transactions, IEEE (Revista IEEE America Latina)
DOI :
10.1109/TLA.2015.7350065
