In this paper, a representation of multivalued functions called interval de
cision diagrams (IDDs) is introduced. It is related to similar representati
ons such as binary decision diagrams. Compared to other functional represen
tations with regard to symbolic formal verification approaches, IDDs show s
ome important properties that enable us to verify process networks and rela
ted models of computation more adequately than with conventional approaches
. Therefore, a new form of transition relation representation called interv
al mapping diagram (IMD) is introduced.
A novel approach to symbolic model checking of process networks is presente
d, Several drawbacks of traditional strategies are avoided using IDDs and I
MDs. The resulting transition relation IMD is very compact, enabling fast i
mage computations. Furthermore, no artificial limitations concerning buffer
capacities or equivalent have to be introduced. Additionally, applications
concerning scheduling of process networks are feasible. IDDs and IMDs are
defined, their properties are described, and computation methods and techni
ques are given.