Theory of regions

The Theory of regions is an approach for synthesizing a Petri net from a transition system. As such, it aims at recovering concurrent, independent behavior from transitions between global states. Theory of regions handles elementary net systems as well as P/T nets and other kinds of nets. An important point is that the approach is aimed at the synthesis of unlabeled Petri nets only.

Definition

A region of a transition system is a mapping assigning to each state a number and to each transition label a number such that consistency conditions holds whenever.

Each region represents a potential place of a Petri net.
Mukund: event/state separation property, state separation property.