Applications and Theory of Petri Nets 2001: 22nd by Susanna Donatelli (auth.), José-Manuel Colom, Maciej Koutny

By Susanna Donatelli (auth.), José-Manuel Colom, Maciej Koutny (eds.)

This quantity comprises the lawsuits of the twenty second foreign convention on program and concept of Petri Nets. the purpose of the Petri web meetings is to create a discussion board for discussing growth within the program and idea of Petri nets. ordinarily, the meetings have 100{150 contributors { one 3rd of those coming from whereas the remainder are from universities and examine associations. The meetings constantly ensue within the final week of June. This 12 months the convention used to be geared up together with the 2d overseas convention on software of Concurrency to procedure layout (ICACSD 2001). the 2 meetings shared the invited lectures and the social application. The convention and several other actions are co-ordinated by means of a guidance committee with the next contributors: G. Balbo (Italy), J. Billington (Aust- lia), G. De Michelis (Italy), C. Girault (France), okay. Jensen (Denmark), S. - magai (Japan), T. Murata (USA), C.A. Petri (Germany; honorary member), W. Reisig (Germany), G. Rozenberg (The Netherlands; chairman), and M. Silva (Spain). different actions earlier than and through the 2001 convention integrated device dem- strations, a gathering on \XML established Interchange codecs for Petri Nets", - tensive introductory tutorials, complex tutorials on \Probabilistic tools in Concurrency" and \Model Checking", and workshops on \Synthesis of Concurrent platforms" and \Concurrency in in charge Computing". The tu- rial notes and workshop court cases are usually not released in those court cases, yet copies can be found from the organizers.

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By Susanna Donatelli (auth.), José-Manuel Colom, Maciej Koutny (eds.)

This quantity comprises the lawsuits of the twenty second foreign convention on program and concept of Petri Nets. the purpose of the Petri web meetings is to create a discussion board for discussing growth within the program and idea of Petri nets. ordinarily, the meetings have 100{150 contributors { one 3rd of those coming from whereas the remainder are from universities and examine associations. The meetings constantly ensue within the final week of June. This 12 months the convention used to be geared up together with the 2d overseas convention on software of Concurrency to procedure layout (ICACSD 2001). the 2 meetings shared the invited lectures and the social application. The convention and several other actions are co-ordinated by means of a guidance committee with the next contributors: G. Balbo (Italy), J. Billington (Aust- lia), G. De Michelis (Italy), C. Girault (France), okay. Jensen (Denmark), S. - magai (Japan), T. Murata (USA), C.A. Petri (Germany; honorary member), W. Reisig (Germany), G. Rozenberg (The Netherlands; chairman), and M. Silva (Spain). different actions earlier than and through the 2001 convention integrated device dem- strations, a gathering on \XML established Interchange codecs for Petri Nets", - tensive introductory tutorials, complex tutorials on \Probabilistic tools in Concurrency" and \Model Checking", and workshops on \Synthesis of Concurrent platforms" and \Concurrency in in charge Computing". The tu- rial notes and workshop court cases are usually not released in those court cases, yet copies can be found from the organizers.

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Fig. 1. Example of time synchronisation for GT nets – We define a time-elapsing transition , for : P/E → D, as follows, where [p]E denotes the E-equivalence class of p: M[ M iff ∀p ∈ P. M (p) = M (p) <+ ([p]E ). We write M −→ M iff either M [t M or M [ M for some t or . In particular we can consider the following two classes of DTAPNs. The first one requires an absolute synchronisation and was studied in the past, while the other one is a new model — completely asynchronous. – Global timed-arc Petri nets (GT nets): E = P × P .

Information and Computation, 57:125–147, 1983. M. Hanisch. Analysis of place/transition nets with timed-arcs and its application to batch process control. In Application and Theory of Petri Nets, volume 691 of LNCS, pages 282–299, 1993. P. Jancar. Decidability of a temporal logic problem for Petri nets. Theoretical Computer Science, 74(1):71–93, 1990. P. Jancar. Bisimulation equivalence is decidable for one-counter processes. In Automata, Languages and Programming, 24th International Colloquium (ICALP’97), volume 1256 of LNCS, pages 549–559.

A termination predicate ↓ ⊆ N defines in what states a marked net can terminate successfully. A marked net that cannot perform any actions or terminate successfully is in a deadlock. We need two auxiliary definitions: (1) a relation expressing that a marked net can evolve via zero or more τ actions into another marked net; (2) a predicate expressing that a marked net can terminate via zero or more τ actions. 7. The relation =⇒ ⊆ N × N is defined as the smallest relation satisfying, for any p, p , p ∈ N , p =⇒ p and (p =⇒ p ∧ p [τ p ) ⇒ p =⇒ p .

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