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  1. Home
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  3. Nets, Terms and Formulas
  • Cited by 103
Publisher:
Cambridge University Press
Online publication date:
January 2010
Print publication year:
1991
Online ISBN:
9780511526589
DOI:
https://doi.org/10.1017/CBO9780511526589
Subjects:
Algorithmics, Complexity, Computer Algebra, Computational Geometry, Computer Science, Distributed, Networked and Mobile Computing, Programming Languages and Applied Logic
Series:
Cambridge Tracts in Theoretical Computer Science (23)
Information

Book description

The author presents a theory of concurrent processes where three different semantic description methods that are usually studied in isolation are brought together. Petri nets describe processes as concurrent and interacting machines; algebraic process terms describe processes as abstract concurrent processes; and logical formulas specify the intended communication behaviour of processes. At the heart of this theory are two sets of transformation rules for the top-down design of concurrent processes. The first set can be used to transform stepwise logical formulas into process terms, whilst process terms can be transformed into Petri nets by the second set. These rules are based on novel techniques for the operational and denotational semantics of concurrent processes. Various results and relationships between nets, terms and formulas starting with formulas and illustrated by examples. The use of transformations is demonstrated in a series of case studies, and the author also identifies directions for research.

Reviews

"The unique feature of this book is that it unifies different views of concurrency rather than adding another view. The author does so in a clear and convincing fashion....requires the reader to be fluent in such mathematical concepts as sets, relations, functions, and predicate logic, and to be familiar with the basic concepts of automata and regular languages. Readers who enjoy the mathematical maturity will find the book excellent: it is carefully written, and the material is presented in a well-chosen order and at the right level of detail. The author must be a good teacher." Martin Rem, Computing Reviews

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