Free Choice Petri Nets

Petri nets are a model for the analysis of concurrent systems.

Jorg Desel (Author), Javier Esparza (Author)

9780521019453, Cambridge University Press

Paperback, published 8 September 2005

256 pages, 64 b/w illus. 10 exercises
24.5 x 17 x 1.3 cm, 0.414 kg

Petri nets are a popular and powerful formal model for the analysis and modelling of concurrent systems, and a rich theory has developed around them. Petri nets are taught to undergraduates, and also used by industrial practitioners. This book focuses on a particular class of petri nets, free choice petri nets, which play a central role in the theory. The text is very clearly organised, with every notion carefully explained and every result proved. Clear exposition is given for place invariants, siphons, traps and many other important analysis techniques. The material is organised along the lines of a course book, and each chapter contains numerous exercises, making this book ideal for graduate students and research workers alike.

1. Introduction
2. Analysis techniques for petri nets
3. S-systems and T-systems
4. Liveness in free choice
5. The coverability theorems
6. The rank theorem
7. Reduction and synthesis
8. Home markings
9. Reachability and shortest sequences
10. Generalizations
Index
List of symbols
List of main results.

Subject Areas: Parallel processing [UYFP], Mathematical theory of computation [UYA]