Petri Net Algebra

Eike Best, Raymond Devillers, Maciej Koutny (Autoren)

Buch | Hardcover

XI, 378 Seiten

2001 | 2001
Springer Berlin (Verlag)
978-3-540-67398-9 (ISBN)

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In modern society services and support provided by computer-based systems have become ubiquitous and indeed have started to fund amentally alter the way people conduct their business. Moreover, it has become apparent that among the great variety of computer technologies available to potential users a crucial role will be played by concurrent systems. The reason is that many commonly occurring phenomena and computer applications are highly con current : typical examples include control systems, computer networks, digital hardware, business computing, and multimedia systems. Such systems are characterised by ever increasing complexity, which results when large num bers of concurrently active components interact. This has been recognised and addressed within the computing science community. In particular, sev eral form al models of concurrent systems have been proposed, studied, and applied in practice. This book brings together two of the most widely used formalisms for de scribing and analysing concurrent systems: Petri nets and process algebras. On the one hand , process algebras allow one to specify and reason about the design of complex concurrent computing systems by means of algebraic operators corresponding to common programming constructs. Petri nets, on the other hand, provide a graphical representation of such systems and an additional means of verifying their correctness efficiently, as well as a way of expressing properties related to causality and concurrency in system be haviour.

Prof. Dr. Eike Best lehrt Theoretische Informatik an der Universität Hildesheim. Er hat in Karlsruhe studiert, in Newcastle (England) promoviert und sich in Bonn für Informatik habilitiert. Seine Forschungsinteressen konzentrieren sich auf das Gebiet Semantik und Verifikation paralleler und verteilter Systeme.

1. Introduction.- 2. The Petri Box Calculus.- 3. Syntax and Operational Semantics.- 4. Petri Net Semantics.- 5. Adding Recursion.- 6. S-invariants.- 7. The Box Algebra.- 8. PBC and Other Process Algebras.- 9. A Concurrent Programming Language.- 10. Conclusion.- Appendix: Solutions of Selected Exercises.- References.

From the reviews:

"The monograph presents a step-by step development of rigorous framework for the specification and verification of concurrent systems. ... The book contains full proofs, carefully chosen examples and several possible directions for further research. The development of the Petri net algebra is handled in such a way that it allows for further application-oriented extensions and modifications. The book is self-contained in the sense that no previous knowledge of Petri nets and process algebras is required." (Ryszard Janicki, Mathematical Reviews, Issue 2003 g)

"This monograph combines two theories of concurrency: process algebras and Petri nets. ... The book can serve researches and practitioners working in concurrency theory or in formalization of parallel and distributed systems. It can also be used in an advanced graduate course as a textbook or as a reference. The book contains numerous examples and exercises included in the text immediately following the relevant material. ... it is well organized and coherent both in structure and content." (Boleslaw Mikolajczak, SIGACT News, Vol. 33 (2), 2002)

Erscheint lt. Verlag	26.1.2001
Reihe/Serie	Monographs in Theoretical Computer Science. An EATCS Series
Zusatzinfo	XI, 378 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	686 g
Themenwelt	Mathematik / Informatik ► Informatik
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Schlagworte	Concurrency • Infinite Operators • Petri net • Petri Nets • Petrinetze • Process Algebras • programming • Programming language • Programming Language Semantics • Proof • Recursion • Refinement • Semantics • SOS Semantics • Structural Invariants • verification
ISBN-10	3-540-67398-9 / 3540673989
ISBN-13	978-3-540-67398-9 / 9783540673989
Zustand	Neuware