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"The main idea behind the series of volumes Advances in Petri Nets is to present to the general computer science community recent results which are the most representative and significant for the development of the area. Thepapers for the volumes are drawn mainly from the annual International Conferences on Applications and Theory of Petri Nets. Selected papers from the latest conference are independently refereed, and revised and extended as necessary. Some further papers submitted directly to the editor are included. Advances in Petri Nets 1991 covers the 11th International Conference on Applications and Theory of Petri Nets held in Paris, France in June 1991. The volume contains the Bibliography of Petri Nets 1990 prepared by H. Pl}nnecke and W. Reisig, with over 4000 entries."--PUBLISHER'S WEBSITE.
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.
Concurrency and Nets is a special volume in the series "Advances in Petri Nets". Prepared as a tribute to Carl Adam Petri on the occasion of his 60th birthday, it is devoted to an outstanding personality and his pioneering and fruitful scientific work. Part I (70 pages of over 600) presents the congratulatory addresses and invited talks that were given at an Anniversary Colloquium. The contributions of this part honor Carl Adam Petri and his work from many different perspectives. Part II is a collection of invited papers discussing various aspects of the theme Concurrency and Nets. These papers are contributed partly by researchers that were or are still associated with the Petri Institute at GMD and partly by researchers whose scientific work deals with Net Theory or related system models. The topics range from basic theoretical aspects to application oriented methods.
Many classical problems in additive number theory are direct problems, in which one starts with a set A of natural numbers and an integer H -> 2, and tries to describe the structure of the sumset hA consisting of all sums of h elements of A. By contrast, in an inverse problem, one starts with a sumset hA, and attempts to describe the structure of the underlying set A. In recent years there has been ramrkable progress in the study of inverse problems for finite sets of integers. In particular, there are important and beautiful inverse theorems due to Freiman, Kneser, Plünnecke, Vosper, and others. This volume includes their results, and culminates with an elegant proof by Ruzsa of the deep theorem of Freiman that a finite set of integers with a small sumset must be a large subset of an n-dimensional arithmetic progression.
Using the dichotomy of structure and pseudorandomness as a central theme, this accessible text provides a modern introduction to extremal graph theory and additive combinatorics. Readers will explore central results in additive combinatorics-notably the cornerstone theorems of Roth, Szemerédi, Freiman, and Green-Tao-and will gain additional insights into these ideas through graph theoretic perspectives. Topics discussed include the Turán problem, Szemerédi's graph regularity method, pseudorandom graphs, graph limits, graph homomorphism inequalities, Fourier analysis in additive combinatorics, the structure of set addition, and the sum-product problem. Important combinatorial, graph theoretic, analytic, Fourier, algebraic, and geometric methods are highlighted. Students will appreciate the chapter summaries, many figures and exercises, and freely available lecture videos on MIT OpenCourseWare. Meant as an introduction for students and researchers studying combinatorics, theoretical computer science, analysis, probability, and number theory, the text assumes only basic familiarity with abstract algebra, analysis, and linear algebra.
This book present formal semantics of sequential and parallel programs and emphasis formal relationships between different mathematical description techniquesl Providing a self-contained introduction to all the necessary mathematics, proofs are presented in a readable form which will appeal to the novice. It contains an in-depth study of the most-well-known and widely-used methods for achieving correctness in program design and presents all technical results at an adequate and easy to learn level. Case studies and exercises (some of them with solutions) help illustrate results.
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Computer networks are covering greater areas, providing higher bandwidths and connecting ever larger numbers of users. Conventional multi-user services such as electronic mail and computer conferencing have been in existence for over two decades. As networks and computer-mediated communication become more widespread, what new types of multi-user applications may we expect in the near future? This volume gives some indication of what may form the next generation of multi-user applications.
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