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Handbook of Process Algebra

Author: J.A. Bergstra

Publisher: Elsevier

Published: 2001-03-16

Total Pages: 1357

ISBN-13: 0080533671

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.

Process Algebra for Parallel and Distributed Processing

Author: Michael Alexander

Publisher: CRC Press

Published: 2008-12-22

Total Pages: 440

ISBN-13: 1420064878

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Collects the Latest Research Involving the Application of Process Algebra to ComputingExploring state-of-the-art applications, Process Algebra for Parallel and Distributed Processing shows how one formal method of reasoning-process algebra-has become a powerful tool for solving design and implementation challenges of concurrent systems. Parallel Pr

Applications of Process Algebra

Author: J. C. M. Baeten

Publisher:

Published: 1990

Total Pages: 344

ISBN-13:

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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.

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.

Process Algebra with Timing

Author: J.C.M. Baeten

Publisher: Springer Science & Business Media

Published: 2002-07-04

Total Pages: 320

ISBN-13: 9783540434474

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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.

Linear Algebra and Linear Operators in Engineering

Author: H. Ted Davis

Publisher: Elsevier

Published: 2000-07-12

Total Pages: 561

ISBN-13: 0080510248

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Designed for advanced engineering, physical science, and applied mathematics students, this innovative textbook is an introduction to both the theory and practical application of linear algebra and functional analysis. The book is self-contained, beginning with elementary principles, basic concepts, and definitions. The important theorems of the subject are covered and effective application tools are developed, working up to a thorough treatment of eigenanalysis and the spectral resolution theorem. Building on a fundamental understanding of finite vector spaces, infinite dimensional Hilbert spaces are introduced from analogy. Wherever possible, theorems and definitions from matrix theory are called upon to drive the analogy home. The result is a clear and intuitive segue to functional analysis, culminating in a practical introduction to the functional theory of integral and differential operators. Numerous examples, problems, and illustrations highlight applications from all over engineering and the physical sciences. Also included are several numerical applications, complete with Mathematica solutions and code, giving the student a "hands-on" introduction to numerical analysis. Linear Algebra and Linear Operators in Engineering is ideally suited as the main text of an introductory graduate course, and is a fine instrument for self-study or as a general reference for those applying mathematics. Contains numerous Mathematica examples complete with full code and solutions Provides complete numerical algorithms for solving linear and nonlinear problems Spans elementary notions to the functional theory of linear integral and differential equations Includes over 130 examples, illustrations, and exercises and over 220 problems ranging from basic concepts to challenging applications Presents real-life applications from chemical, mechanical, and electrical engineering and the physical sciences

Algebraic Methods: Theory, Tools and Applications

Author: Martin Wirsing

Publisher: Springer Science & Business Media

Published: 1989-09-20

Total Pages: 572

ISBN-13: 9783540516989

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Process Algebra

Author: J. C. M. Baeten

Publisher: Cambridge University Press

Published: 1990-10-25

Total Pages: 256

ISBN-13: 9780521400435

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Process algebra, also known as the Algebra of Communicating Processes (ACP), is a mathematical theory or model of computer processes, particularly concurrent systems. In this introduction to ACP, the authors describe an algebraic formalism that can be used to specify, apply logic to, and improve parallel systems. Their axiomatic approach permits intensive calculations to be performed and establishes a uniform framework in which a range of models can be investigated. The book addresses issues such as parallelism, communication, abstraction, non-determinism, and fairness and provides many examples, so it should appeal to computer scientists and mathematicians alike. It is a unique introduction to this model of concurrent programming and will be essential reading for all computer scientists interested in parallel processing and algebraic methods in computer science.

Property-Preserving Petri Net Process Algebra in Software Engineering

Author: Hejiao Huang

Publisher: World Scientific

Published: 2012

Total Pages: 319

ISBN-13: 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.

Algebraic Structures and Applications

Author: Sergei Silvestrov

Publisher: Springer Nature

Published: 2020-06-18

Total Pages: 976

ISBN-13: 3030418502

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This book explores the latest advances in algebraic structures and applications, and focuses on mathematical concepts, methods, structures, problems, algorithms and computational methods important in the natural sciences, engineering and modern technologies. In particular, it features mathematical methods and models of non-commutative and non-associative algebras, hom-algebra structures, generalizations of differential calculus, quantum deformations of algebras, Lie algebras and their generalizations, semi-groups and groups, constructive algebra, matrix analysis and its interplay with topology, knot theory, dynamical systems, functional analysis, stochastic processes, perturbation analysis of Markov chains, and applications in network analysis, financial mathematics and engineering mathematics. The book addresses both theory and applications, which are illustrated with a wealth of ideas, proofs and examples to help readers understand the material and develop new mathematical methods and concepts of their own. The high-quality chapters share a wealth of new methods and results, review cutting-edge research and discuss open problems and directions for future research. Taken together, they offer a source of inspiration for a broad range of researchers and research students whose work involves algebraic structures and their applications, probability theory and mathematical statistics, applied mathematics, engineering mathematics and related areas.