On a Normal Form of Petri Nets
Ferucio Laurentiu TIPLEA Masashi
KATSURA
Masami ITO
Abstract:
A Petri net is called
-transition restricted if its weight function takes values
in and
and
for all
transitions . Using the results from
[] it has been proved ([]) that any -labelled Petri net is
equivalent to a -labelled -transition restricted Petri
net, with respect to the finite transition sequence
behaviour. This one may be considered as a normal form of
Petri nets, called the super-normal form of Petri
nets, and the question is whether it preserves or not the
partial words and processes of Petri nets ([]). In this paper we show that the answer to
this question is positive for partial words and negative for
processes. Then some infinite hierarchies of families of
partial languages generated by (labelled) -transition
restricted Petri nets, are obtained.
Gyenizse Pal
1997. Február 4. Kedd 15:02:00 MET
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