Time And Petri Nets
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Time And Petri Nets
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Author : Louchka Popova-Zeugmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-05
Time And Petri Nets written by Louchka Popova-Zeugmann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-05 with Computers categories.
At first glance the concepts of time and of Petri nets are quite contrary: while time determines the occurrences of events in a system, classic Petri nets consider their causal relationships and they represent events as concurrent systems. But if we take a closer look at how time and causality are intertwined we realize that there are many possible ways in which time and Petri nets interact. This book takes a closer look at three time-dependent Petri nets: Time Petri nets, Timed Petri nets, and Petri nets with time windows. The author first explains classic Petri nets and their fundamental properties. Then the pivotal contribution of the book is the introduction of different algorithms that allow us to analyze time-dependent Petri nets. For Time Petri nets, the author presents an algorithm that proves the behavioral equivalence of a net where time is designed once with real and once with natural numbers, so we can reduce the state space and consider the integer states exclusively. For Timed Petri nets, the author introduces two time-dependent state equations, providing a sufficient condition for the non-reachability of states, and she also defines a local transformation for converting these nets into Time Petri nets. Finally, she shows that Petri nets with time-windows have the ability to realize every transition sequence fired in the net omitting time restrictions. These classes of time-dependent Petri nets show that time alone does not change the power of a Petri net, in fact time may or may not be used to force firing. For Time Petri nets and Timed Petri nets we can say that they are Turing-powerful, and thus more powerful than classic Petri nets, because there is a compulsion to fire at some point in time. By contrast, Petri nets with time-windows have no compulsion to fire, their expressiveness power is less than that of Turing-machines. This book derives from advanced lectures, and the text is supported throughout with examples and exercises. It is suitable for graduate courses in computer science, mathematics, engineering, and related disciplines, and as a reference for researchers.
Advances In Verification Of Time Petri Nets And Timed Automata
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Author : Wojciech Penczek
language : en
Publisher: Springer
Release Date : 2007-03-06
Advances In Verification Of Time Petri Nets And Timed Automata written by Wojciech Penczek and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-06 with Technology & Engineering categories.
This monograph presents a comprehensive introduction to timed automata (TA) and time Petri nets (TPNs) which belong to the most widely used models of real-time systems. Some of the existing methods of translating time Petri nets to timed automata are presented, with a focus on the translations that correspond to the semantics of time Petri nets, associating clocks with various components of the nets.
Formal Modeling And Analysis Of Timed Systems
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Author : Franck Cassez
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-05
Formal Modeling And Analysis Of Timed Systems written by Franck Cassez and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-05 with Computers categories.
This book constitutes the refereed proceedings of the 6th International Conference on Formal Modeling and Analysis of Timed Systems, FORMATS 2008, held in Saint Malo, France, September 2008. The 17 revised full papers presented together with 3 invited talks were carefully reviewed and selected from 37 submissions. The papers are organized in topical sections on extensions of timed automata and semantics; timed games and logic; case studies; model-checking of probabilistic systems; verification and test; timed petri nets.
Petri Nets
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Author : Pawel Pawlewski
language : en
Publisher: BoD – Books on Demand
Release Date : 2012-08-29
Petri Nets written by Pawel Pawlewski and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-29 with Computers categories.
Petri Nets were introduced in the doctoral dissertation by K.A. Petri, titled "Kommunikation mit Automaten" and published in 1962 by University of Bonn. Petri Nets are graphical (the intuitive graphical modeling language) and mathematical (advanced formal analysis method) tool. The concurrence of performed actions is the natural phenomenon due to which Petri Nets are perceived as mathematical tool for modeling concurrent systems. The main idea of this theory was modified by many researchers according to their needs, owing to the unusual "flexibility" of this theory. The present monograph focuses on Petri Nets applications in two main areas: manufacturing (section 1) and computer science (section 2). These two areas have still huge influence on our lives and our world. The theory of Petri Nets is still developing: some directions of investigations are presented in section 3. And at the end there is section 4 including some infesting facts concerning application of Petri Nets in the public area: the analysis and control of public bicycle sharing systems. The monograph shows the results of research works performed with use of Petri Nets in science centers all over the world.
Petri Nets
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Author : Guanjun Liu
language : en
Publisher: Springer Nature
Release Date : 2022-11-03
Petri Nets written by Guanjun Liu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-03 with Computers categories.
This book provides essential information on Petri net theory and Petri net-based model checking methods. As for the Petri net theory, it involves the interleaving semantics and concurrency semantics of elementary net systems, some important net structures (e.g., invariant, repetitive vector, siphon, and trap), some classical net subclasses with special structures (e.g., state machine, marked graph, free-choice net,asymmetric-choice net, normal net, and weakly persistent net), and some basic properties (e.g., reachability, liveness, deadlock, and soundness). It also involves four high-level Petri nets: knowledge-oriented Petri nets, Petri nets with insecure places, time Petri nets, and plain time Petri nets with priorities, focusing on different fields of application. As for the model checking methods, this book introduces readers to computation tree logic (CTL), computation tree logic of knowledge (CTLK), and timed computation tree logic (TCTL), as well as Petri net-based methods for checking them. The basic principle of the reduced ordered binary decision diagram (ROBDD) is employed to compress the state space used in these model checking procedures. The book also covers time-soundness for time Petri nets and secure bisimulation for Petri nets with insecure places, both of which are based on the bisimulation theory. As such, it offers an introduction to basic information on bisimulation theory.
Formal Techniques For Networked And Distributed Systems Forte 2006
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Author : Elie Najm
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-09-27
Formal Techniques For Networked And Distributed Systems Forte 2006 written by Elie Najm and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-27 with Computers categories.
This book constitutes the refereed proceedings of the 26th IFIP WG 6.1 International Conference on Formal Techniques for Networked and Distributed Systems, FORTE 2006, held in Paris, France, in September 2006. The 26 revised full papers and 4 short papers presented together with 3 invited lectures were carefully reviewed and selected from 177 submissions. The papers focus on the construction of middleware and services using formalised and verified approaches.
Advances In Verification Of Time Petri Nets And Timed Automata
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Author : Wojciech Penczek
language : en
Publisher: Studies in Computational Intelligence
Release Date : 2006-06-26
Advances In Verification Of Time Petri Nets And Timed Automata written by Wojciech Penczek and has been published by Studies in Computational Intelligence this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-26 with Computers categories.
This monograph presents a comprehensive introduction to timed automata (TA) and time Petri nets (TPNs) which belong to the most widely used models of real-time systems. Some of the existing methods of translating time Petri nets to timed automata are presented, with a focus on the translations that correspond to the semantics of time Petri nets, associating clocks with various components of the nets. "Advances in Verification of Time Petri Nets and Timed Automata – A Temporal Logic Approach" introduces timed and untimed temporal specification languages and gives model abstraction methods based on state class approaches for TPNs and on partition refinement for TA. Moreover, the monograph presents a recent progress in the development of two model checking methods, based on either exploiting abstract state spaces or on application of SAT-based symbolic techniques. The book addresses research scientists as well as graduate and PhD students in computer science, logics, and engineering of real time systems.
Application And Theory Of Petri Nets
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Author :
language : en
Publisher:
Release Date : 2004
Application And Theory Of Petri Nets written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Petri nets categories.
Petri Nets
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Author : Guanjun Liu
language : en
Publisher:
Release Date : 2022
Petri Nets written by Guanjun Liu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.
This book provides essential information on Petri net theory and Petri net-based model checking methods. As for the Petri net theory, it involves the interleaving semantics and concurrency semantics of elementary net systems, some important net structures (e.g., invariant, repetitive vector, siphon, and trap), some classical net subclasses with special structures (e.g., state machine, marked graph, free-choice net,asymmetric-choice net, normal net, and weakly persistent net), and some basic properties (e.g., reachability, liveness, deadlock, and soundness). It also involves four high-level Petri nets: knowledge-oriented Petri nets, Petri nets with insecure places, time Petri nets, and plain time Petri nets with priorities, focusing on different fields of application. As for the model checking methods, this book introduces readers to computation tree logic (CTL), computation tree logic of knowledge (CTLK), and timed computation tree logic (TCTL), as well as Petri net-based methods for checking them.The basic principle of the reduced ordered binary decision diagram (ROBDD) is employed to compress the state space used in these model checking procedures. The book also covers time-soundness for time Petri nets and secure bisimulation for Petri nets with insecure places, both of which are based on the bisimulation theory. As such, it offers an introduction to basic information on bisimulation theory.
Timed Petri Nets
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Author : Jiacun Wang
language : en
Publisher: American Mathematical Soc.
Release Date : 1998-10-31
Timed Petri Nets written by Jiacun Wang and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-10-31 with Business & Economics categories.
Introduces theories and applications of timed Petri nets, focusing on their use in modeling of discrete event dynamic systems (DEDSs). Examines characteristics and performance of DEDSs, introduces fundamentals of Petri nets, and details analysis methods and application of deterministic timed transition Petri nets. Addresses firing policies, memory properties, and stochastic processes of timed Petri nets, and describes theory and application of high-level stochastic Petri nets and semi-Markovian SPN models. Annotation copyrighted by Book News, Inc., Portland, OR