Application and Theory of Petri Nets 1998: 19th by Rüdiger Valk (auth.), Jörg Desel, Manuel Silva (eds.)

By Rüdiger Valk (auth.), Jörg Desel, Manuel Silva (eds.)

This quantity includes the complaints of the nineteenth annual overseas convention on program and concept of Petri Nets. the purpose of the Petri web convention is to create a discussion board for the dissemination of the newest ends up in the applying and conception of Petri nets. it usually occurs within the final week of June. in general there are one hundred fifty - two hundred contributors. approximately one 3rd of those come from whereas the remainder are from universities and examine associations. The meetings and several other actions are coordinated through a guidance committee with the next participants: G. Balbo (Italy), J. Billington (Australia), G. DeMichelis(Italy),C. Girault(France),K. Jensen (Denmark), S. Kumagai (Japan), T. Murata (USA), C. A. Petri (Germany; honorary member), W. Reisig (Germany), G. Roucairol (France), G. Rozenberg (The Netherlands; chairman), M. Silva (Spain). The nineteenth convention has been geared up for the rst time in Portugal, via the dep. of electric Engineering of the school of Sciences and expertise of the hot college of Lisbon, including the heart for clever Robotics of UNINOVA. It occurs in Lisbon whilst EXPO’98, the final international exhibition of the 20 th century.

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Additional resources for Application and Theory of Petri Nets 1998: 19th International Conference, ICATPN’98 Lisbon, Portugal, June 22–26, 1998 Proceedings

Example text

Bericht 185/96, Fachbereich Informatik, Universit¨ at Hamburg, 1996. 19. R. Valk. Concurrency in communicating object petri nets. In F. A. Agha, editor, to appear in: Advances in Petri Nets, LNCS. Springer-Verlag, Berlin, 1998. Synchronized Products of Transition Systems and Their Analysis Andr´e Arnold LaBRI, Universit´e Bordeaux I and CNRS (UMR 5800) Abstract. Petri Nets and the synchronized products of transition systems introduced by Arnold and Nivat are two closely related models of concurrent systems.

An in I if there is an i and a transition / Qi , there is a j such that for any s, ai , s ∈ Ti such that s ∈ Qi and s ∈ s, aj , s ∈ Tj , s ∈ Qj . For instance, if H is a trap in a Petri Net, (seen as a synchronized product of C’s) we take Qi = {n > 0} if i is in H, ∅ otherwise. Our definition of a trap becomes: for any transition t of the Petri net and for any i in H there is a j ∈ H such that i ∈ pre(t) ⇒ j ∈ post(t). The “behavioural” property of the synchronized product associated with a trap is: let Q be the set n i=1 S1 × · · ·× Si−1 × Qi × Si+1 × · · ·× Sn .

Up to eight different states can be grouped into a single equivalence class, exploiting this kind of symmetry. The interest of such a complex encoding of the names of objects is that, once the modeler has accomplished the effort of defining the colour sets the transition predicates and the arc functions according to such a complex encoding, the SRG construction algorithm can automatically and very efficiently construct a lumped Markov chain with a number of states reduced by a factor up to 8 as compared to the complete Markov chain that did not exploit this kind of symmetry.

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