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Study Free Choice Petri Nets (Cambridge Tracts in Theoretical Computer Science)

Posted on 2010-03-16




Name:Study Free Choice Petri Nets (Cambridge Tracts in Theoretical Computer Science)
ASIN/ISBN:0521019451
Language:English
File size:3 Mb
ISBN: 0521019451
Publish Date: 2005-09-08
File Type: PDF
Pages: 256 pages
File Size: 3 Mb
Other Info: Cambridge University Press
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Free Choice Petri Nets (Cambridge Tracts in Theoretical Computer Science)

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. Free-choice Petri nets have been around for more than twenty years, and are a successful branch of net theory. Nearly all the introductory texts on Petri nets devote some pages to them. This book is intended for those who wish to go further. It brings together the classical theorems of free-choice theory obtained by Commoner and Hack in the seventies, and a selection of new results, like the Rank Theorem, which were so far scattered among papers, reports and theses, some of them difficult to access. The text is very clearly organised, with every notion carefully explained and every result proved. Clear exposition is given for place and transition invariants, the marking equation, 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. The book is self-contained, in the sense that no previous knowledge of Petri nets is required. The reader is assumed to be familiar with naive set theory and with some elementary notions of graph theory (e.g. path, circuit, strong connectedness) and linear algebra (e.g. linear independence, rank of a matrix). One result of Chapter 4 requires some knowledge of the theory of NP-completeness.

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