Wed, 16/01/2008 (All day)
Abstract: Timed continuous Petri nets with infinite server semantics
is a subclass of piecewise linear systems in which some state
variables are redundant due to the P-flows. When the order of the
system is reduced according to these conservation laws we obtain
piecewise affine systems with continue flow at the borders. For these
systems we offer a formal analysis technique abstracting the
continuous behavior to a discrete representation in a transitions
system. Two software packages have been developed. The first one takes
an initial region and computes the safety regions, i.e., the region
that cannot be reached starting from any point in the initial one
while the second one accepts as input some regions and a formula in
linear temporal logic (LTL) and computes the initial regions from
which we can start and the formula is satisfied over the evolution. We
will see how we can refine the abstraction hoping that at the next
step the result is improved.