Towards reasoning about Petri nets: A Propositional Dynamic Logic based approach

Abstract This work extends our previous work [4] , [22] with the iteration operator. This new operator allows for representing more general networks and thus enhancing the former propositional logic for Petri nets. We provide an axiomatization and a new semantics, prove soundness and completeness with respect to its semantics and the EXPTIME-Hardness of its satisfiability problem, present a linear model checking algorithm and show that its satisfiability problem is in 2EXPTIME. In order to illustrate its usage, we also provide some examples.

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