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Petri Net Algebra

Petri Net Algebra
Author: Eike Best
Publisher: Springer Science & Business Media
Total Pages: 389
Release: 2013-03-09
Genre: Mathematics
ISBN: 3662044579

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In modern society services and support provided by computer-based systems have become ubiquitous and indeed have started to fund amentally alter the way people conduct their business. Moreover, it has become apparent that among the great variety of computer technologies available to potential users a crucial role will be played by concurrent systems. The reason is that many commonly occurring phenomena and computer applications are highly con current : typical examples include control systems, computer networks, digital hardware, business computing, and multimedia systems. Such systems are characterised by ever increasing complexity, which results when large num bers of concurrently active components interact. This has been recognised and addressed within the computing science community. In particular, sev eral form al models of concurrent systems have been proposed, studied, and applied in practice. This book brings together two of the most widely used formalisms for de scribing and analysing concurrent systems: Petri nets and process algebras. On the one hand , process algebras allow one to specify and reason about the design of complex concurrent computing systems by means of algebraic operators corresponding to common programming constructs. Petri nets, on the other hand, provide a graphical representation of such systems and an additional means of verifying their correctness efficiently, as well as a way of expressing properties related to causality and concurrency in system be haviour.


The Mathematics of Petri Nets

The Mathematics of Petri Nets
Author: Christophe Reutenauer
Publisher: Prentice Hall
Total Pages: 136
Release: 1990
Genre: Mathematics
ISBN:

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Covers the mathematical aspects of petri-nets and vector addition systems. The main topic is the accessibility decidability theorem, while the reachability problem is also discussed. Historical notes, references, proofs, exercises and illustrations are included in every chapter.


Unifying Petri Nets

Unifying Petri Nets
Author: Hartmut Ehrig
Publisher: Springer
Total Pages: 495
Release: 2003-06-30
Genre: Computers
ISBN: 3540455418

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Since their introduction nearly 40 years ago, research on Petri nets has diverged in many different directions. Various classes of Petri net, motivated either by theory or applications, with its own specific features and methods of analysis, have been proposed and studies in depth. These successful developments have led to a very heterogeneous landscape of diverse models, and this, in turn, has stimulated research on concepts and approaches that contribute to unifying and structuring the diverse landscape. This state-of-the-art survey presents the most relevant approaches to unifying Petri nets in a systematic and coherent way. The 14 chapters written by leading researchers are organized in topical sections on application-oriented approaches, unifying frameworks, and theoretical approaches.


Property-Preserving Petri Net Process Algebra in Software Engineering

Property-Preserving Petri Net Process Algebra in Software Engineering
Author: Hejiao Huang
Publisher: World Scientific
Total Pages: 319
Release: 2012
Genre: Computers
ISBN: 9814324280

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Annotation In a component-based approach for system design, one of the difficult problems is how to prove the correctness of the created components. This volume presents a component-based methodology for the creation and verification of design specifications.


Petri Nets for Systems Engineering

Petri Nets for Systems Engineering
Author: Claude Girault
Publisher: Springer Science & Business Media
Total Pages: 602
Release: 2013-03-14
Genre: Computers
ISBN: 3662053241

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Using formal methods for the specification and verification of hardware and software systems is becoming increasingly important as systems increase in size and complexity. The aim of the book is to illustrate progress in formal methods based on Petri net formalisms. It presents both practical and theoretical foundations for the use of Petri nets in complex system engineering tasks. In doing so it bridges the gap between Petri nets and the systems modeling and implementation process. It contains a collection of examples arising from different fields, such as flexible manufacturing, telecommunication and workflow management systems.


Applications and Theory of Petri Nets

Applications and Theory of Petri Nets
Author: Giuliana Franceschinis
Publisher: Springer Science & Business Media
Total Pages: 364
Release: 2009-06-09
Genre: Computers
ISBN: 3642024238

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This volume consists of the proceedings of the 30th International Conference on Applications and Theory of Petri Nets and Other Models of Concurrency (PETRI NETS 2009). The Petri Net conferences serve as annual meeting places to discuss the progress in the ?eld of Petri nets and related models of conc- rency. They provide a forum for researchers to present and discuss both app- cations and theoretical developments in this area. Novel tools and substantial enhancements to existing tools can also be presented. The satellite program of the conference comprised four workshops and seven tutorials. This year, the conference was co-located with the 20th IEEE/IFIP International Symposium on Rapid System Prototyping (RSP 2009). The two conferences shared ?ve - vited speakers. Detailed information about PETRI NETS 2009 can be found at http://petrinets2009. lip6. fr/. The PETRI NETS 2009 conference was organized by Universit´ e Pierre & 1 Marie Curie as a part of MeFoSyLoMa , gathering research teams from numer- ˆ ous universities in Ile-de-France: CNAM, ENS de Cachan, Universit´ e Evry-V- d'Essone, Universit´ e Paris-Dauphine, Universit´ e Paris 12, Universit´ e Paris 13, and Telecom Paris-Tech. It took place in Paris,France, during June 22-26,2009. We would like to express our deep thanks to the Organizing Committee, chaired by Fabrice Kordon, for the time and e?ort invested in the conference and for all the help with local organization.


Property-preserving Petri Net Process Algebra In Software Engineering

Property-preserving Petri Net Process Algebra In Software Engineering
Author: Hejiao Huang
Publisher: World Scientific
Total Pages: 319
Release: 2012-03-14
Genre: Computers
ISBN: 9814462942

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In a component-based approach for system design, one of the challenging problems is the way to prove the correctness of the created components. Usually, the constituent components are supposed to be correct — possessing the desirable properties and free from undesirable ones. However, the operators may destroy these properties or create new ones, resulting in an undesirable new component. Hence, every created component has to go through a new process of verification, involving a tremendous amount of effort.This book presents a component -based methodology for the creation and verification of design specifications. The methodology is formally presented as an algebra called Property-Preserving Petri Net Process Algebra (PPPA). PPPA includes five classes of operators, and the authors show that every operator of PPPA can preserve a large number of basic system properties. Therefore, if the initial set of primitive components satisfies some of these properties, the created components will also “automatically” satisfy them without the need for further verification — thus greatly saving verification efforts.


Transactions on Petri Nets and Other Models of Concurrency II

Transactions on Petri Nets and Other Models of Concurrency II
Author: Wil M. P. van der Aalst
Publisher: Springer
Total Pages: 311
Release: 2009-03-26
Genre: Computers
ISBN: 3642008992

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Transactions on Petri Nets and Other Models of Concurrency (ToPNoC) II These Transactions publish archival papers in the broad area of Petri nets and other models of concurrency, ranging from theoretical work to tool support and industrial applications. ToPNoC issues are published as LNCS volumes, and hence are widely distributed and indexed. This Journal has its own Editorial Board which selects papers based on a rigorous two-stage refereeing process. ToPNoC contains: - Revised versions of a selection of the best papers from workshops and tutorials at the annual Petri net conferences - Special sections/issues within particular subareas (similar to those published in the Advances in Petri Nets series) - Other papers invited for publication in ToPNoC - Papers submitted directly to ToPNoC by their authors The second volume of ToPNoC focuses on Concurrency in Process-Aware Information Systems. Although the topic of business process management using information technology has been addressed by consultants and software developers in depth, more fundamental approaches towards such Process-Aware Information Systems (PAISs) have been rather uncommon. It wasn't until the 1990s that researchers started to work on the foundations of PAISs. Clearly, concurrency theory is an essential ingredient in these foundations as business processes are highly concurrent involving all types of routing logic and resource allocation mechanisms. The 16 papers in this special issue of ToPNoC cover topics ranging from the formal (mostly Petri-net based) foundations of PAISs to more applied topics such as flexibility and process mining. Thus, this volume gives a good overview of the state of the art in PAIS research.


Petri Net Theory and the Modeling of Systems

Petri Net Theory and the Modeling of Systems
Author: James L Peterson
Publisher:
Total Pages: 304
Release: 2019-08-09
Genre:
ISBN: 9781080591176

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Petri nets were conceived in 1962 as a model of parallel systems, and have been applied to a wide range of problems. This volume presents both the basic model and demonstrates how it can be applied to a large number of different systems. It also presents basic analysis techniques and shows how Petri nets compare to other models of parallel systems.This second, digital, edition of the original 1981 publication is a faithful reproduction of that work, with dozens of corrections and minor improvements. The original 1981 book was scanned, OCRed, processed and corrected to create an all new printing.


Process Algebras for Petri Nets

Process Algebras for Petri Nets
Author: Roberto Gorrieri
Publisher: Springer
Total Pages: 307
Release: 2017-04-13
Genre: Computers
ISBN: 3319555596

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This book deals with the problem of finding suitable languages that can represent specific classes of Petri nets, the most studied and widely accepted model for distributed systems. Hence, the contribution of this book amounts to the alphabetization of some classes of distributed systems. The book also suggests the need for a generalization of Turing computability theory. It is important for graduate students and researchers engaged with the concurrent semantics of distributed communicating systems. The author assumes some prior knowledge of formal languages and theoretical computer science.