Handbook of Process Algebra

Handbook of Process Algebra

Author: J.A. Bergstra

Publisher: Elsevier

Published: 2001-03-16

Total Pages: 1357

ISBN-13: 0080533671

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Process Algebra is a formal description technique for complex computer systems, especially those involving communicating, concurrently executing components. It is a subject that concurrently touches many topic areas of computer science and discrete math, including system design notations, logic, concurrency theory, specification and verification, operational semantics, algorithms, complexity theory, and, of course, algebra.This Handbook documents the fate of process algebra since its inception in the late 1970's to the present. It is intended to serve as a reference source for researchers, students, and system designers and engineers interested in either the theory of process algebra or in learning what process algebra brings to the table as a formal system description and verification technique. The Handbook is divided into six parts spanning a total of 19 self-contained Chapters. The organization is as follows. Part 1, consisting of four chapters, covers a broad swath of the basic theory of process algebra. Part 2 contains two chapters devoted to the sub-specialization of process algebra known as finite-state processes, while the three chapters of Part 3 look at infinite-state processes, value-passing processes and mobile processes in particular. Part 4, also three chapters in length, explores several extensions to process algebra including real-time, probability and priority. The four chapters of Part 5 examine non-interleaving process algebras, while Part 6's three chapters address process-algebra tools and applications.


Handbook of Truly Concurrent Process Algebra

Handbook of Truly Concurrent Process Algebra

Author: Yong Wang

Publisher: Elsevier

Published: 2023-12-15

Total Pages: 648

ISBN-13: 0443215162

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Handbook of Truly Concurrent Process Algebra provides readers with a detailed and in-depth explanation of the algebra used for concurrent computing. This complete handbook is divided into five Parts: Algebraic Theory for Reversible Computing, Probabilistic Process Algebra for True Concurrency, Actors – A Process Algebra-Based Approach, Secure Process Algebra, and Verification of Patterns. The author demonstrates actor models which are captured using the following characteristics: Concurrency, Asynchrony, Uniqueness, Concentration, Communication Dependency, Abstraction, and Persistence. Truly concurrent process algebras are generalizations of the corresponding traditional process algebras. Handbook of Truly Concurrent Process Algebra introduces several advanced extensions and applications of truly concurrent process algebras. Part 1: Algebraic Theory for Reversible Computing provides readers with all aspects of algebraic theory for reversible computing, including the basis of semantics, calculi for reversible computing, and axiomatization for reversible computing. Part 2: Probabilistic Process Algebra for True Concurrency provides readers with all aspects of probabilistic process algebra for true concurrency, including the basis of semantics, calculi for probabilistic computing, axiomatization for probabilistic computing, as well as mobile calculi for probabilistic computing. Part 3: Actors - A Process Algebra-Based Approach bridges the two concurrent models, process algebra and actors, by capturing the actor model in the following characteristics: Concurrency, Asynchrony, Uniqueness, Concentration, Communication Dependency, Abstraction, and Persistence. Part 4: Secure Process Algebra demonstrates the advantages of process algebra in verifying security protocols – it has a firmly theoretic foundation and rich expressive powers to describe security protocols. Part 5: Verification of Patterns formalizes software patterns according to the categories of the patterns and verifies the correctness of patterns based on truly concurrent process algebra. Every pattern is detailed according to a regular format to be understood and utilized easily, which includes introduction to a pattern and its verifications. Patterns of the vertical domains are also provided, including the domains of networked objects and resource management. To help readers develop and implement the software patterns scientifically, the pattern languages are also presented. Presents all aspects of full algebraic reversible computing, including the basis of semantics, calculi for full reversible computing, and axiomatization for full reversible computing Introduces algebraic properties and laws for probabilistic computing, one of the foundational concepts of Computer Science Presents the calculi for probabilistic computing, including the basis of semantics and calculi for reversible computing


Process Algebra with Timing

Process Algebra with Timing

Author: J.C.M. Baeten

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 306

ISBN-13: 3662049953

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Timing issues are of growing importance for the conceptualization and design of computer-based systems. Timing may simply be essential for the correct behaviour of a system, e.g. of a controller. Even if timing is not essential for the correct behaviour of a system, there may be good reasons to introduce it in such a way that suitable timing becomes relevant for the correct behaviour of a complex system. This book is unique in presenting four algebraic theories about processes, each dealing with timing from a different point of view, in a coherent and systematic way. The timing of actions is either relative or absolute and the underlying time scale is either discrete or continuous.


Handbook of Computer Vision Algorithms in Image Algebra

Handbook of Computer Vision Algorithms in Image Algebra

Author: Joseph N. Wilson

Publisher: CRC Press

Published: 2000-09-21

Total Pages: 444

ISBN-13: 1420042386

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Image algebra is a comprehensive, unifying theory of image transformations, image analysis, and image understanding. In 1996, the bestselling first edition of the Handbook of Computer Vision Algorithms in Image Algebra introduced engineers, scientists, and students to this powerful tool, its basic concepts, and its use in the concise representation


Introduction to Process Algebra

Introduction to Process Algebra

Author: Wan Fokkink

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 171

ISBN-13: 3662042932

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Automated and semi-automated manipulation of so-called labelled transition systems has become an important means in discovering flaws in software and hardware systems. Process algebra has been developed to express such labelled transition systems algebraically, which enhances the ways of manipulation by means of equational logic and term rewriting. The theory of process algebra has developed rapidly over the last twenty years, and verification tools have been developed on the basis of process algebra, often in cooperation with techniques related to model checking. This textbook gives a thorough introduction into the basics of process algebra and its applications.


Mathematical Handbook for Scientists and Engineers

Mathematical Handbook for Scientists and Engineers

Author: Granino A. Korn

Publisher: Courier Corporation

Published: 2013-04-26

Total Pages: 1154

ISBN-13: 0486320235

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Convenient access to information from every area of mathematics: Fourier transforms, Z transforms, linear and nonlinear programming, calculus of variations, random-process theory, special functions, combinatorial analysis, game theory, much more.


A Book of Abstract Algebra

A Book of Abstract Algebra

Author: Charles C Pinter

Publisher: Courier Corporation

Published: 2010-01-14

Total Pages: 402

ISBN-13: 0486474178

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Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.


Introduction to Applied Linear Algebra

Introduction to Applied Linear Algebra

Author: Stephen Boyd

Publisher: Cambridge University Press

Published: 2018-06-07

Total Pages: 477

ISBN-13: 1316518965

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A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.


Applications of Process Algebra

Applications of Process Algebra

Author: J. C. M. Baeten

Publisher: Cambridge University Press

Published: 1990-09-20

Total Pages: 326

ISBN-13: 9780521400282

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This book gives applications of the theory of process algebra, or Algebra of Communicating Processes (ACP), that is the study of concurrent or communicating processes studied using an algebraic framework. The approach is axiomatic; the authors consider structures that are some set of mostly equational axioms, which are equipped with several operators. Thus the term 'algebra' is used in the model-theoretic sense. The axiomatic approach enables one to organize the field of process theories. The theory is applied systematically to a number of situations, including systolic algorithms, semantics of an object-oriented language, and protocols. It will be welcomed by computer scientists working in parallel programming.