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Kategorie szczegółowe BISAC

Petri Nets: An Introduction

ISBN-13: 9783642699702 / Angielski / Miękka / 2011 / 164 str.

Wolfgang Reisig
Petri Nets: An Introduction Reisig, Wolfgang 9783642699702 Springer - książkaWidoczna okładka, to zdjęcie poglądowe, a rzeczywista szata graficzna może różnić się od prezentowanej.

Petri Nets: An Introduction

ISBN-13: 9783642699702 / Angielski / Miękka / 2011 / 164 str.

Wolfgang Reisig
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Net theory is a theory of systems organization which had its origins, about 20 years ago, in the dissertation of C. A. Petri 1]. Since this seminal paper, nets have been applied in various areas, at the same time being modified and theoretically investigated. In recent time, computer scientists are taking a broader interest in net theory. The main concern of this book is the presentation of those parts of net theory which can serve as a basis for practical application. It introduces the basic net theoretical concepts and ways of thinking, motivates them by means of examples and derives relations between them. Some extended examples il lustrate the method of application of nets. A major emphasis is devoted to those aspect which distinguish nets from other system models. These are for instance, the role of concurrency, an awareness of the finiteness of resources, and the pos sibility of using the same representation technique of different levels of ab straction. On completing this book the reader should have achieved a system atic grounding in the subject allowing him access to the net literature 25]. These objectives determined the subjects treated here. The presentation of the material here is rather more axiomatic than in ductive. We start with the basic notions of 'condition' and 'event' and the con cept of the change of states by (concurrently) occurring events. By generali zation of these notions a part of the theory of nets is presented."

Kategorie:
Informatyka, Bazy danych
Kategorie BISAC:
Mathematics > Matematyka
Computers > Logic Design
Computers > Software Development & Engineering - General
Wydawca:
Springer
Seria wydawnicza:
Monographs in Theoretical Computer Science. an Eatcs Series
Język:
Angielski
ISBN-13:
9783642699702
Rok wydania:
2011
Wydanie:
Softcover Repri
Numer serii:
000420310
Ilość stron:
164
Waga:
0.30 kg
Wymiary:
24.4 x 17.5 x 1.0
Oprawa:
Miękka
Wolumenów:
01

1. Introductory Examples and Basic Definitions.- 1.1 Examples from Different Areas.- 1.2 Examples from Logic Circuits and Operating Systems.- 1.3 Non-Sequential Programs.- 1.4 An Example for Systems Analysis.- 1.5 Some Basic Definitions.- 1.6 Summary and Overview.- Exercises for Chapter 1.- 1. Condition/Event-Systems.- 2. Nets Consisting of Conditions and Events.- 2.1 Cases and Steps.- 2.2 Condition/Event-Systems.- 2.3 Cyclic and Live Systems.- 2.4 Equivalence.- 2.5 Contact-Free C/E-Systems.- 2.6 Case Graphs.- Exercises for Chapter 2.- 3. Processes of Condition/Event-Systems.- 3.1 Partially Ordered Sets.- 3.2 Occurrence Nets.- 3.3 Processes.- 3.4 The Composition of Processes.- 3.5 Processes and Case Graphs.- Exercises for Chapter 3.- 4. Properties of Systems.- 4.1 Synchronic Distances.- 4.2 Some Quantitative Properties of Synchronic Distances.- 4.3 Synchronic Distances in Sequential Systems.- 4.4 Synchronic Distances in Cyclic Systems.- 4.5 Facts.- Exercises for Chapter 4.- 2. Place/Transition-Nets.- 5. Nets Consisting of Places and Transitions.- 5.1 Place/Transition-Nets.- 5.2 Linear Algebraic Representation.- 5.3 Coverability Graphs.- 5.4 Decision Procedures for Some Net Properties.- 5.5 Liveness.- Exercises for Chapter 5.- 6. Net Invariants.- 6.1 S-Invariants.- 6.2 Nets Covered by S-Invariants.- 6.3 The Verification of System Properties Using S-Invariants.- 6.4 Properties of a Sender-Receiver Model.- 6.5 A Seat-Reservation System.- 6.6 The Verification of Facts in C/E-Systems by Means of S-Invariants.- 6.7 T-Invariants.- Exercises for Chapter 6.- 7. Liveness Criteria for Special Classes of Nets.- 7.1 Marked Nets, Deadlocks and Traps.- 7.2 Free Choice Nets.- 7.3 Marked Graphs.- Exercises for Chapter 7.- 3. Nets with Individual Tokens.- 8. Predicate/Event-Nets.- 8.1 An Introductory Example.- 8.2 Predicate/Event-Nets.- 8.3 An Organization Scheme for Distributed Databases.- 8.4 Facts in P/E-Nets.- 8.5 A Normal Form for P/E-Nets.- Exercises for Chapter 8.- 9. Relation Nets.- 9.1 Introductory Examples.- 9.2 Relation Nets.- 9.3 The Translation of P/E-Nets into Relation Nets.- 9.4 Calculation with Multirelations.- 9.5 A Matrix Representation for Relation Nets.- 9.6 S-Invariants for Relation Nets.- 9.7 An Example for Applying S-Invariants: The Verification of Facts.- 9.8 Relation Net Schemes.- Appendix. Mathematical Notions and Notation.- I. Sets.- II. Relations.- III. Mappings, Functions.- IV. Partial Orders.- VII. Vectors and Matrices.- Further Reading.- 1. Some Landmarks in the Development of Net Theory.- 2. Conferences on Petri Nets.- 3. Text Books.- 4. Bibliographies.- 5. References to Chapter 2.- 6. References to Chapter 3.- 7. References to Chapter 4.- 8. References to Chapter 5.- 9. References to Chapter 6.- 10. References to Chapter 7.- 11. References to Chapter 8.- 12. References to Chapter 9.- 13. Modifications and Generalizations of Place/Transition-Nets.- 14. Applications.- 15. Implementation and Automatic Analysis of Nets.- 16. Related System Models.

Prof. Dr. Wolfgang Reisig is a professor at Humboldt Universität zu Berlin, Germany. He has over 30 years experience in the theory, applications, and teaching of Petri nets and related techniques; and he has been closely involved in the key community initiatives such as related conferences. Among his books are titles in the areas of Petri nets, distributed algorithmsm, and computational systems biology.



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