Grzegorz Rozenberg

Kurt Jensen

High-level Petri nets are now widely used in both theoretical analysis and practical modelling of concurrent systems. The main reason for the success of this class of net models is that they make it possible to obtain much more succinct and manageable de scriptions than can be obtained by means of low-level Petri nets-while, on the other hand, they still offer a wide range of analysis methods and tools. The step from low-level nets to high-level nets can be compared to the step from assembly languages to modem programming languages with an elaborated type concept. In low-level nets there is only one kind of token and this means that the state of a place is described by an integer (and in many cases even by a boolean value). In high-level nets each token can carry complex information which, e. g. , may describe the entire state of a process or a data base. Today most practical applications of Petri nets use one of the different kinds of high-level nets. A considerable body of knowledge exists about high-level Petri nets this includes theoretical foundations, analysis methods and many applications. Unfortunately, the papers on high-level Petri nets have been scattered throughout various journals and collections. As a result, much of this knowledge is not readily available to people who may be interested in using high-level nets.

Theory and Application

High-level Petri Nets

Arto Salomaa

Gheorghe Paun

Mario J. Perez-Jimenez

Agustin Riscos-Nunez

This book constitutes the thoroughly refereed post-workshop proceedings of the 10th International Workshop on Membrane Computing, WMC 2009, held in Curtea de Arges, Romania, during August 24 to 27, 2009 under the auspices of the European Molecular Computing Consortium (EMCC) and the Molecular Computing Task Force of IEEE Computational Intelligence Society. The 22 revised full papers presented together with 10 invited papers went through two rounds of reviewing and improvement. The papers in this volume cover all the main directions of research in membrane computing, ranging from theoretical topics in mathematics and computer science to application issues; the invited lectures present fundamental contributions to membrane computing; thus highlighting important directions of current research in this area.

10th International Workshop, WMC 2009, Curtea de Arges, Romania, August 24-27, 2009. Revised Selected and Invited Papers

Membrane Computing

Jonathan Billington

Michel Diaz

Application of Petri Nets to Communication Networks

Wolfgang Reisig

The two-volume set originates from the Advanced Course on Petri Nets held in Dagstuhl, Germany in September 1996; beyond the lectures given there, additional chapters have been commissioned to give a well-balanced presentation of the state of the art in the area. Together with its companion volume "Lectures on Petri Nets II: Applications" this book is the actual reference for the area and addresses professionals, students, lecturers, and researchers who are - interested in systems design and would like to learn to use Petri nets familiar with subareas of the theory or its applications and wish to view the whole area - interested in learning about recent results presented within a unified framework - planning to apply Petri nets in practical situations - interested in the relationship of Petri nets to other models of concurrent systems.

Advances in Petri Nets

Lectures on Petri Nets I: Basic Models

Petri nets offer a mathematically defined technique for the specification, design, analysis, verification and performance evaluation of concurrent distributed systems. They offer not only precise semantics and a theoretical foundation, but also a graphical form that facilitates the understanding of both information and control flow within the same formalism. As an intuitively appealing graphical form of presentation, Petri nets are the model of choice in various applications. Communications networks, ranging from traditional telecommunication systems to advanced Internet-based information services, are inherently distributed and comprise systems with concurrently operating components. This volume presents a selection of the latest advances in the use of Petri nets for the modeling, analysis and management of communication networks and systems in the broadest sense of these terms.

Ugo Montanari

Hartmut Ehrig

Andrea Corradini

Leila Ribeiro

This book constitutes the refereed proceedings of the Third International Conference on Graph Transformations, ICGT 2006. The book presents 28 revised full papers together with 3 invited lectures. All current aspects in graph drawing are addressed including graph theory and graph algorithms, theoretic and semantic aspects, modeling, tool issues and more. Also includes accounts of a tutorial on foundations and applications of graph transformations, and of ICGT Conference satellite events.

Third International Conference, ICGT 2006, Rio Grande do Norte, Brazil, September 17-23, 2006, Proceedings

Graph Transformations

Third International Conference, ICGT 2006, Rio Grande Do Norte, Brazil, September 17-23, 2006, Proceedings

Thomas Hinze

Gheorghe Păun

Marian Gheorghe

This book constitutes the thoroughly refereed post-conference proceedings of the 11th International Conference on Membrane Computing, CMC11, held in Jena, Germany, in August 2010 - continuing the fruitful tradition of 10 previous editions of the International Workshop on Membrane Computing (WMC). The 23 revised full papers presented together with 4 invited papers and the abstracts of 2 keynote lectures were carefully reviewed and selected from numerous submissions. The papers address in this volume cover all the main directions of research in membrane computing, ranging from theoretical topics in the mathematics and computer science to application issues. A special attention was paid to the interaction of membrane computing with biology and computer science, focusing both on the biological roots of membrane computing, on applications of membrane computing in biology and medicine, and on possible electronically based and bioinspired implementations.

11th International Conference, CMC 2010, Jena, Germany, August 24-27, 2010. Revised Selected Papers

Jacobus W. De Bakker

Willem Paul Roever (Jr.)

Overviews and Tutorials

Current Trends in Concurrency

Rudolph Freund

This book constitutes the thoroughly refereed extended postproceedings of the 6th International Workshop on Membrane Computing, WMC 2005, held in Vienna, Austria, in July 2005. The 20 revised full papers presented together with 5 invited papers went through two rounds of reviewing and improvement. The papers in this volume cover all the main directions of research in membrane computing, ranging from theoretical topics in mathematics and computer science, to application issues, especially in biology. More specifically, these papers present research on topics such as: computational power and complexity classes, new types of P systems, relationships to Petri nets, quantum computing, and brane calculi, determinism vs. nondeterminism, hierarchies, the size of small families, algebraic approaches, and designing polynomial solutions to NP-complete problems through the use of membrane systems.

6th International Workshop, WMC 2005, Vienna, Austria, July 18-21, 2005, Revised Selected and Invited Papers

This is the first book on DNA computing, a molecular approach that may revolutionize computing-replacing silicon with carbon and microchips with DNA molecules. The book starts with an introduction to DNA computing, exploring the power of complementarity, the basics of biochemistry, and language and computation theory. It then brings the reader to the most advanced theories develop thus far in this emerging research area.

New Computing Paradigms

DNA Computing

The two-volume set originates from the Advanced Course on Petri Nets held in Dagstuhl, Germany in September 1996; beyond the lectures given there, additional chapters have been commissioned to give a well-balanced presentation of the state of the art in the area. Together with its companion volume "Lectures on Petri Nets I: Basic Models" this book is the actual reference for the area and addresses professionals, students, lecturers, and researchers who are - interested in systems design and would like to learn to use Petri nets familiar with subareas of the theory or its applications and wish to view the whole area - interested in learning about recent results presented within a unified framework - planning to apply Petri nets in practical situations - interested in the relationship of Petri nets to other models of concurrent systems.

Lectures on Petri Nets II: Applications

Alex Yakovlev

Jordi Cortadella

As CMOS semiconductor technology strides towards billions of transistors on a single die new problems arise on the way. They are concerned with the - minishing fabrication process features, which a?ect for example the gate-to-wire delay ratio. They manifest themselves in greater variations of size and operating parameters of devices, which put the overall reliability of systems at risk. And, most of all, they have tremendous impact on design productivity, where the costs of utilizing the growing silicon ‘real estate’ rocket to billions of dollars that have to be spent on design, veri?cation, and testing. All such problems call for new - sign approaches and models for digital systems. Furthermore, new developments in non-CMOS technologies, such as single-electron transistors, rapid single-?- quantum devices, quantum dot cells, molecular devices, etc. , add extra demand for new research in system design methodologies. What kind of models and design methodologies will be required to build systems in all these new technologies? Answering this question, even for each particular type of new technology generation, is not easy, especially because sometimes it is not even clear what kind of elementary devices are feasible there. This problem is of an interdisciplinary nature. It requires an bridges between di?erent scienti?c communities. The bridges must be built very quickly, and be maximally ?exible to accommodate changes taking place in a logarithmic timescale.

Concurrency and Hardware Design

Sergey Verlan

This book constitutes the thoroughly refereed post-conference proceedings of the 12th International Conference on Membrane Computing, CMC 2011, held in Fontainebleau, France, in August 2011. The 19 revised selected papers presented were carefully reviewed and selected from 27 papers and 5 posters presented at the conference. The book also contains full papers or extended abstracts of the 5 invited presentations. The papers address all the main directions of research in membrane computing, ranging from theoretical topics in the mathematics and computer science to application issues.

12th International Conference, CMC 2011, Fontainebleau, France, August 23-26, 2011, Revised Selected Papers

Christian S. Calude

Marion Oswald

Rudolf Freund

José Félix Costa

(1998) 2. Antoniou, I., Calude, C.S., Dinneen, M.J. (eds.): Unconventional Models of Computation,UMC2K:ProceedingsoftheSecondInternationalConference.

7th International Conference, UC 2008, Vienna, Austria, August 25-28, 2008, Proceedings

Unconventional Computation

Hans-Jörg Kreowski

ICGT 2002 was the ?rst International Conference on Graph Transformation following a series of six international workshops on graph grammars with - plications in computer science, held in Bad Honnef (1978), Osnabruc ̈ k (1982), Warrenton (1986), Bremen (1990), Williamsburg (1994), and Paderborn (1998). ICGT 2002 was held in Barcelona (Spain), October 7–12, 2002 under the a- pices of the European Association of Theoretical Computer Science (EATCS), the European Association of Software Science and Technology (EASST), and the IFIP Working Group 1.3, Foundations of Systems Speci?cation. The scope of the conference concerned graphical structures of various kinds (like graphs, diagrams, visual sentences and others) that are useful to describe complex structures and systems in a direct and intuitive way. These structures are often augmented by formalisms which add to the static description a further dimension, allowing for the modeling of the evolution of systems via all kinds of transformations of such graphical structures. The ?eld of Graph Transformation is concerned with the theory, applications, and implementation issues of such formalisms. The theory is strongly related to areas such as graph theory and graph - gorithms, formal language and parsing theory, the theory of concurrent and distributed systems, formal speci?cation and veri?cation, logic, and semantics.

First International Conference, ICGT 2002, Barcelona, Spain, October 7-12, 2002, Proceedings

Graph Transformation

Advances in Petri Nets 1985

The aim of these series of volumes "Advances in Petri Nets" is to present to the general computer science community the most significant recent results with regard to the development in the area. The main source of the papers are the annual European Workshops on Applications and Theory of Petri Nets"; the highest ranked papers from the past workshops are considered for the series, i.e., they are again reviewed and accordingly revised or extended. In addition to the workshop papers, the "Advances" also present invited papers. The present volume Advances in Petri Nets 1987 covers the 7th "European Workshop on Applications and Theory of Petri Nets" held in Oxford, Great Britain, in June 1986. It also contains a survey on complexity of problems related to Petri nets written by R.R. Howell and L.E. Rosier. A special feature of this volume is a bibliography on Petri nets, containing more than 2000 entries.

Advances in Petri Nets 1987

Herbert Weber

This state-of-the-art survey in the Advances in Petri Nets series reports how various well-established and novel Petri net notions and techniques can be employed for modelling communication-based systems, with a particular focus on workflow management and business processes. The book builds on the success of a special program of the German Science Foundation (DFG) on Petri Net Technology as well as on broad participation from the international Petri net research community.

Grzegorz Rozenberg

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