*For the most recent entries see the
Petri Nets Newsletter.*

## On the structural computation of synchronic invariants in P/T nets.

Silva, M.;
Colom, J.M.
In:
*Proceedings of the Eighth European Workshop on Application and Theory of Petri Nets, Zaragoza, Espana*, pages 237-258.
1987.

Abstract:
Inside Synchrony Theory, this paper deals with a structural computation of
synchronic invariants. It is based on the state equation of the
place/transition (P/T) net and on Linear Programming theory. The approach
is conceptually very simple, general and computationally very efficient.
It is said to be a general approach in the sense that instead of single
transitions, subsets of transitions are directly taken into account.
Computationally it is very efficient because the linear programming
problem is know to be of polynomial complexity. Two transition subsets are
in a given synchronic relation if the corresponding synchronic invariant
is bounded; for any conflict-resolution strategies, synchronic relations
characterize the existence or non-existence of firing dependences. As a
by-product of the proposed approach, a full algebraic characterization of
structural synchronic relations (i.e. independent of the initial marking)
is obtained.

*Do you need a refined search? Try our search engine
which allows complex field-based queries.*
*Back to the Petri Nets Bibliography*