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We propose a method to count the number of reachable markings of a Petri netwithout having to enumerate these rst. The method relies on a structuralreduction system that reduces the number of places and transitions of the netin such a way that we can faithfully compute the number of reachable markingsof the original net from the reduced net and the reduction history. The methodhas been implemented and computing experiments show that reductions are eectiveon a large benchmark of models.

Petri Net Reductions for Counting Markings