2013 | OriginalPaper | Chapter
Further Notations for Elementary System Nets
Author : Wolfgang Reisig
Published in: Understanding Petri Nets
Publisher: Springer Berlin Heidelberg
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
In the literature, elementary system nets are often extended by additional notations, especially
capacities
(“no transition can add an (
n
+ 1)th token to a place
p
”) and arc weights (“
n
tokens simultaneously flow through an arc”). We will discuss both of these extensions and show that they do not increase the expressiveness of elementary system nets: they can be simulated and are thus merely syntactic sugar. Occasionally, it is possible to use capacities and arc weights to construct very intuitive and clear models. In such cases, they should definitely be used.
However, a transition that is supposed to “test” the number of tokens in a place, or that should be given priority in case of a conflict, is a different matter: such things cannot be simulated within the bounds of elementary system nets.