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Wolfgang Reisig

Elements of Distributed Algorithms


Modeling and Analysis with Petri Nets
Softcover reprint of the original 1st ed. 1998. 2010. xii, 302 S. 246 SW-Abb. 235 mm
Verlag/Jahr: SPRINGER, BERLIN 2010
ISBN: 3-642-08303-X (364208303X)
Neue ISBN: 978-3-642-08303-7 (9783642083037)

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Distributed Computing is rapidly becoming the principal computing paradigm in diverse areas of computing, communication, and control. Processor clusters, local and wide area networks, and the information highway evolved a new kind of problems which can be solved with distributed algorithms.In this textbook a variety of distributed algorithms are presented independently of particular programming languages or hardware, using the graphically suggestive technique of Petri nets which is both easy to comprehend intuitively and formally rigorous. By means of temporal logic the author provides surprisingly simple yet powerful correctness proofs for the algorithms.The scope of the book ranges from distributed control and synchronization of two sites up to algorithms on any kind of networks. Numerous examples show that description and analysis of distributed algorithms in this framework are intuitive and technically transparent.
I. Elementary Concepts.- II. Case Studies.- III. Advanced Concepts.- IV. Case Studies.- V. Case Studies Continued: Acknowledged Messages.- VI. Case Studies Continued: Network Algorithms.- VII. State Properties of Elementary System Nets.- VIII. Interleaved Progress of Elementary System Nets.- IX. Concurrent Progress of Elementary System Nets.- X. State Properties of System Nets.- XI. Interleaved Progress of System Nets.- XII. Concurrent Progress of System Nets.- XIII. Formal Analysis of Case Studies.- References.
Distributed algorithms, essential to networks of all kinds, are presented using the highly intuitive and technically elegant Petri net technique in this text for students and practitioners. A variety of distributed algorithms are presented, and proven correct using temporal logic.