Embedded systems are increasingly important. They are currently implemented
as a mix of hardware and software components, and they must satisfy strict
real-time constraints. To achieve this, several counting devices are usual
ly introduced in the system. As a result, embedded systems exhibit extremel
y deep state spaces, and standard analysis methods may be excessively expen
sive. More specifically, there is interest in very long sequences of states
without 'observable or 'relevant' external effects. A new symbolic approac
h to represent them is described which is based on timed transition relatio
ns. The methodology may be used for a variety of applications, from synthes
is to verification and to simulation. The paper concentrates on simulation.
In this field, starting from a register-transfer or gate-level description
, a binary-decision-diagram-based model is extracted automatically which is
capable of jumping in time, avoiding the simulation of internal events. Fi
nally, a set of experimental results obtained using a state-of-the-art simu
lator is discussed.