We present an embedding of Petri nets into B abstract systems. The embedding is achieved by translating both the static structure (modelling aspect) and the evolution semantics of Petri nets. The static structure of a Petri net is captured within a B abstract system through a graph structure. This abstract system is then included in another abstract system which captures the evolution semantics...

As part of the Petri Net Baukastenn Pad99b] the Expert View presents mathematical concepts and results of Petri net theory in a structured and application oriented way. Consistent formal Petri net techniques and transformations between these are main issues. We introduce the notions of formal Petri net techniques, abstract Petri net frames, instantiations, and transformations. These notions are...

In this paper the dynamic modeling of repairable and standby components of complex systems is analyzed using Petri Nets and ladder logic diagrams. The use of Petri Nets as modelling of a complex system avoids two basic disadvantages of Markov chain analysis. First, the Petri Net model does not grow in size as increasing the number of components and second, Markov chain has been limited to the e...

Hierarchical Petri nets allow a more abstract view whereas reconfigurable Petri nets model dynamic structural adaptation. In this contribution we present the combination of reconfigurable Petri nets and hierarchical Petri nets yielding an hierarchical structure for reconfigurable Petri nets. Hierarchies are established by substituting transitions by subnets. These subnets are themselves reconfi...

It had been shown that Merlin’s Time Petri Nets are a special case of Time Stream Petri Nets. In this paper, we show that it does not exist a time equivalence between both models. We extend first this result to the non equivalence of Timed Automata and Time Petri Nets and second to the non equivalence of Timed Link Petri Net and Timed Transition Petri Net.

In this paper we present a Petri-net-based approach to consider anticipated faults in real-time distributed systems. The proposed approach is based on Fuzzy Time G-Nets which is the integration of two Petri Nets extensions: Fuzzy Time Petri Net (timing Petri net extension) and G-Nets (Petri net extended with object oriented concepts). We also show that Fuzzy Time G-Nets can be used to represent...

Petri nets are a subject of interest to researchers since more than 30 years. They became popular since they allow the graphic representation of computational structures and have a formal underpinning that allows formal proofs of properties. Their use in engineering, however is limited to a rather small number of applications. Many of the graphic notations used in practice are very similar to t...