We are happy to announce the publication of our book ``Free Choice Petri Nets'', number 40 of the series Cambridge Tracts in Theoretical Computer Science, published by Cambridge University Press (ISBN 0 521 465192 hardback). The book is divided into 10 chapters. Chapters 1-5 present analysis techniques (place and transition invariants, siphons and traps), and classical results of the structure theory of Petri nets (results on marked graphs, Commoner's and Hack's theorems, etc.). Chapters 6-9 contain recent developments in the theory of free choice nets, like the rank theorem. In Chapter 10, some results of the former chapters are generalized to larger net classes. Since a good part of the material was spread among different publications, many of them difficult to access (and sometimes containing mistakes), we have taken special care in making the book self-contained. Every notion is explained, and every result is proved. The material is organized along the lines of a course, and each chapter is followed by exercises. Here is a more detailed list of contents: 1 Introduction 1 1.1 Petri nets.....................................2 1.2 Free-choice Petri nets.........................5 1.3 Properties.....................................8 1.4 Structure of the book..........................9 2 Analysis techniques for Petri nets 13 2.1 Mathematical preliminaries....................13 2.2 Nets and their properties.....................15 2.3 Systems and their properties..................24 2.4 S-invariants and T-invariants.................30 3 S-systems and T-systems 41 3.1 S-systems.....................................41 3.2 T-systems.....................................46 4 Liveness in free-choice systems 63 4.1 Free-choice systems...........................63 4.2 Stable predicates: siphons and traps..........66 4.3 Commoner's Theorem............................70 4.4 The non-liveness problem is NP-complete.......82 4.5 Minimal siphons...............................85 4.6 Liveness and deadlock-freedom.................87 5 The Coverability Theorems 91 5.1 The S-coverability Theorem....................91 5.2 Derived results...............................97 5.3 The T-coverability Theorem...................101 5.4 Derived results..............................109 6 The Rank Theorem 113 6.1 Characterizations of well-formedness.........113 6.2 The non-well-formed case.....................116 6.3 The well-formed case.........................123 6.4 Derived results..............................130 7 Reduction and synthesis 137 7.1 Basic notions................................138 7.2 The reduction rules..........................139 7.3 An example of reduction......................149 7.4 Completeness.................................151 7.5 Synthesis rules..............................163 8 Home markings 171 8.1 Existence of home markings...................171 8.2 A characterization of the home markings......176 8.3 Derived results..............................185 9 Reachability and shortest sequences 189 9.1 The Reachability Theorem.....................190 9.2 The Shortest Sequence Theorem................199 10 Generalizations 211 10.1 Asymmetric-choice nets......................211 10.2 A necessary condition for well-formedness...214 10.3 A sufficient condition for well-formedness..218 Index 238 List of symbols 244 List of main results 247 The book has been available in UK bookshops since 12/01/95, for 25 pounds sterling, and it should also be available in all good bookshops in other countries. You may also order directly from CUP (they charge 2.50 pounds plus the local Mws/VAT/IVA within the European Union). For more information about availability and delivery you may contact: Customer Services Cambridge University Press The Edinburgh Building Cambridge CB2 2RU Tlf.: +44 223 325970 Fax: +44 223 325959 E-mail: science@cup.cam.ac.uk Joerg Desel Javier Esparza Humboldt Universitaet zu Berlin Technische Universitaet Muenchen Institut fuer Informatik Institut fuer Informatik Unter den Linden 6 Arcisstr. 21 D-10099 Berlin D-80290 Muenchen Germany Germany E-mail: E-mail: desel@informatik.hu-berlin.de esparza@informatik.tu-muenchen.de