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| Titel: |
Free-Choice Petri Nets without Frozen Tokens, and Bipolar Synchronization Systems |
| Auteur: |
Wehler, Joachim |
| Verschenen in: |
Fundamenta informaticae |
| Paginering: | Jaargang 98 (2010) nr. 2-3 pagina's 283-320 |
| Jaar: |
2010-03-15 |
| Inhoud: |
Bipolar synchronization systems (BP-systems) constitute a class of coloured Petri nets, well suited for modelling the control flow of discrete dynamical systems. Every BP-system has an underlying ordinary Petri net, a T-system. It further has a second ordinary net attached, a free-choice system. We prove that a BP-system is safe and live if the T-system and the free-choice system are safe and live and the free-choice system in addition has no frozen tokens. This result is the converse of a theorem of Genrich and Thiagarajan and proves an old conjecture. As a consequence we obtain two results about the existence of safe and live BP-systems with prescribed ordinary Petri nets. For the proof of these theorems we introduce the concept of a morphism between Petri nets as a means of comparing different Petri nets. We then apply the classical theory of free-choice systems. |
| Uitgever: |
IOS Press |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 6 van 9 gevonden artikelen
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