Starts with a brief review of the history and the application areas considered in the literature. The author then proceeds with introductory modeling examples, behavioral and structural properties, three methods of analysis, subclasses of Petri nets and their analysis. In particular, one section is devoted to marked graphs, the concurrent system model most amenable to analysis. Introductory discussions on stochastic nets with their application to performance modeling, and on high-level nets with their application to logic programming, are provided. Also included are recent results on reachability criteria. Suggestions are provided for further reading on many subject areas of Petri nets. >

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Petri nets: Properties, analysis and applications

A description and analysis of concurrent systems, such as communication systems, whose behavior is dependent on explicit values of time is presented. An enumerative method is proposed in order to exhaustively validate the behavior of P. Merlin's time Petri net model, (1974). This method allows formal verification of time-dependent systems. It is applied to the specification and verification of the alternating bit protocol as a simple illustrative example. >

Modeling and verification of time dependent systems using time Petri nets

Analysis of petri nets by stepwise refinements

Remarks on blind and partially blind one-way multicounter machines

Complexity of some problems in Petri nets

In a labeled Petri Net we assign symbols from an alphabet to some or all the transitions of a Petri Net. To each firing sequence of such a Labeled Petri Net corresponds to a string over the alphabet. We study the languages obtained in this way by all firing sequences of a Petri Net, or by all firing sequences which reach a given final marking. We consider the closure properties of these languages, their characterization, their relation to other language families, and the decidability of various problems concerning these languages. The last chapter relates Petri Nets to Counter Automata and Weak Counter Automata, introduces inhibitor Nets and Priority Nets, and considers extensions and limitations of the Petri Net Languages.

M. Hack

Papers

Petri net language