Products of Transition Systems and Additions of Petri Nets

Abstract

It is well-known that the reachability graph of a sum of disjoint Petri nets is the disjoint product of the reachability graphs of the components. We shall consider here the converse problem, i.e., determine when and how a transition system may be decomposed in non-trivial concurrent factors, and extend the theory to more general labelled transition systems. Meanwhile, we shall develop interesting algebraic properties of disjoint products.