Philippe Darondeau

Eric Badouel

Luca Bernardinello

This book is a comprehensive, systematic survey of the synthesis problem, and of region theory which underlies its solution, covering the related theory, algorithms, and applications. The authors focus on safe Petri nets and place/transition nets (P/T-nets), treating synthesis as an automated process which, given behavioural specifications or partial specifications of a system to be realized, decides whether the specifications are feasible, and then produces a Petri net realizing them exactly, or if this is not possible produces a Petri net realizing an optimal approximation of the specifications. In Part I the authors introduce elementary net synthesis. In Part II they explain variations of elementary net synthesis and the unified theory of net synthesis. The first three chapters of Part III address the linear algebraic structure of regions, synthesis of P/T-nets from finite initialized transition systems, and the synthesis of unbounded P/T-nets. Finally, the last chapter in Part III and the chapters in Part IV cover more advanced topics and applications: P/T-net with the step firing rule, extracting concurrency from transition systems, process discovery, supervisory control, and the design of speed-independent circuits. Most chapters conclude with exercises, and the book is a valuable reference for both graduate students of computer science and electrical engineering and researchers and engineers in this domain.

Petri Net Synthesis

Xiaolan Xie

Luciano Lavagno

Benoît Caillaud

This book aims at providing a view of the current trends in the development of research on Synthesis and Control of Discrete Event Systems. Papers col lected in this volume are based on a selection of talks given in June and July 2001 at two independent meetings: the Workshop on Synthesis of Concurrent Systems, held in Newcastle upon Tyne as a satellite event of ICATPN/ICACSD and organized by Ph. Darondeau and L. Lavagno, and the Symposium on the Supervisory Control of Discrete Event Systems (SCODES), held in Paris as a satellite event of CAV and organized by B. Caillaud and X. Xie. Synthesis is a generic term that covers all procedures aiming to construct from specifications given as input objects matching these specifications. The ories and applications of synthesis have been studied and developped for long in connection with logics, programming, automata, discrete event systems, and hardware circuits. Logics and programming are outside the scope of this book, whose focus is on Discrete Event Systems and Supervisory Control. The stress today in this field is on a better applicability of theories and algorithms to prac tical systems design. Coping with decentralization or distribution and caring for an efficient realization of the synthesized systems or controllers are of the utmost importance in areas so diverse as the supervision of embedded or man ufacturing systems, or the implementation of protocols in software or in hard ware.

Philippe Darondeau

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