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Logics and Models of Concurrent Systems

Author: Krzysztof R. Apt

Publisher: Springer Science & Business Media

Published: 2013-03-08

Total Pages: 494

ISBN-13: 3642824536

The cooperation test [Apt, Francez & de Roever] was originally conceived to capture the proof theoretical analogue of distributed message exchange between disjoint processes, as opposed to the interference freedom test [Owicki & Gries], being the proof theoretical analogue of concurrent communication by means of interference through jointly shared variables. Some authors ([Levin & Gries, Lamport & Schneider, Schlichting and Schneider]) stress that both forms of communication can be proof theoretically characterized using interference freedom only, since proofs for both ultimately amount to an invariance proof of a big global assertion [Ashcroft], invariance of whose parts amounts to interference freedom. Yet I feel that the characteristic nature of the cooperation test is still preserved in the analysis of these authors, because in their analysis of CSP the part dealing with interference freedom specializes to maintenance of a global invariant, the expression of which requires per process the introduction of auxiliary variables which are updated in that process only, thus preserving the concept of disjointness (as opposed to sharing), since now all variables from different processes are disjoint. The cooperation test has been applied to characterize concurrent communication as occurring in Hoare's Communicating Sequential Processes (CSP) [Hoare 2], Ichbiah's ADA [ARM], and Brinch Hansen's Distributed Processes (DP) [Brinch Hansen]. This characterization has been certified through soundness and completeness proofs [Apt 2, Gerth]. As in the interference freedom test this characterization consists of two stages, a local sequential stage and a global stage.

Logics and Models of Concurrent Systems

Author: Krzysztof R Apt

Publisher:

Published: 1985-07-01

Total Pages: 514

ISBN-13: 9783642824548

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The Temporal Logic of Reactive and Concurrent Systems

Author: Zohar Manna

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 432

ISBN-13: 1461209315

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Reactive systems are computing systems which are interactive, such as real-time systems, operating systems, concurrent systems, control systems, etc. They are among the most difficult computing systems to program. Temporal logic is a formal tool/language which yields excellent results in specifying reactive systems. This volume, the first of two, subtitled Specification, has a self-contained introduction to temporal logic and, more important, an introduction to the computational model for reactive programs, developed by Zohar Manna and Amir Pnueli of Stanford University and the Weizmann Institute of Science, Israel, respectively.

The Temporal Logic of Reactive and Concurrent Systems

Author: Zohar Manna

Publisher:

Published: 1992

Total Pages:

ISBN-13:

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Specification and Analysis of Concurrent Systems

Author: Ryszard Janicki

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 487

ISBN-13: 3642773370

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Concurrent systems abound in human experience but their fully adequate conceptualization as yet eludes our most able thinkers. The COSY (ConcurrentSystem) notation and theory was developed in the last decade as one of a number of mathematical approaches for conceptualizing and analyzing concurrent and reactive systems. The COSY approach extends theconventional notions of grammar and automaton from formal language and automata theory to collections of "synchronized" grammars and automata, permitting system specification and analysis of "true" concurrency without reduction to non-determinism. COSY theory is developed to a great level of detail and constitutes the first uniform and self-contained presentationof all results about COSY published in the past, as well as including many new results. COSY theory is used to analyze a sufficient number of typical problems involving concurrency, synchronization and scheduling, to allow the reader to apply the techniques presented tosimilar problems. The COSY model is also related to many alternative models of concurrency, particularly Petri Nets, Communicating Sequential Processes and the Calculus of Communicating Systems.

Concurrency Theory

Author: Howard Bowman

Publisher: Springer Science & Business Media

Published: 2006-02-28

Total Pages: 444

ISBN-13: 1846283361

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Intheworldweliveinconcurrencyisthenorm.Forexample,thehumanbody isamassivelyconcurrentsystem,comprisingahugenumberofcells,allsim- taneously evolving and independently engaging in their individual biological processing.Inaddition,inthebiologicalworld,trulysequentialsystemsrarely arise. However, they are more common when manmade artefacts are cons- ered. In particular, computer systems are often developed from a sequential perspective. Why is this? The simple reason is that it is easier for us to think about sequential, rather than concurrent, systems. Thus, we use sequentiality as a device to simplify the design process. However, the need for increasingly powerful, ?exible and usable computer systems mitigates against simplifying sequentiality assumptions. A good - ample of this is the all-powerful position held by the Internet, which is highly concurrent at many di?erent levels of decomposition. Thus, the modern c- puter scientist (and indeed the modern scientist in general) is forced to think aboutconcurrentsystemsandthesubtleandintricatebehaviourthatemerges from the interaction of simultaneously evolving components. Over a period of 25 years, or so, the ?eld of concurrency theory has been involved in the development of a set of mathematical techniques that can help system developers to think about and build concurrent systems. These theories are the subject matter of this book.

Logics for Concurrency

Author: Faron Moller

Publisher: Boom Koninklijke Uitgevers

Published: 1996-03-06

Total Pages: 304

ISBN-13: 9783540609155

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This book presents five tutorial-style lectures on various approaches to the problem of verifying distributed systems: three chapters concentrate on linear-time or branching-time temporal logics; one addresses process equivalence with an emphasis on infinite-state systems; and the final one presents a novel category-theoretic approach to verification. The various formalisms for expressing properties of concurrent systems, based on automata-theoretic techniques or structural properties, are studied in detail. Much attention is paid to the style of writing and complementary coverage of the relevant issues. Thus these lecture notes are ideally suited for advanced courses on logics for concurrent systems. Equally, they are indispensable reading for anyone researching the area of distributed computing.

Models for Concurrency

Author: Uri Abraham

Publisher: CRC Press

Published: 2020-08-26

Total Pages: 252

ISBN-13: 1000159566

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Concurrent systems are generally understood in terms of behavioral notions. Models for Concurrency analyzes the subject in terms of events and their temporal relationship rather than on global states. It presents a comprehensive analysis of model theory applied to concurrent protocols, and seeks to provide a theory of concurrency that is both intuitively appealing and rigorously based on mathematical foundations. The book is divided into three main sections. The first introduces the required concepts from model theory, details the structures that are used to model concurrency, gives an in-depth description and explanation of the semantics of a simple language that allows concurrent execution of sequential programs, and deals with the question of resolving executions into higher-level and lower-level granularities. The second and third sections apply the theory developed to practical examples, and an exposition of the producer/consumer problem with details of two solutions is given. The author also deals with message passing, as opposed to shared memory.

Real-Time: Theory in Practice

Author: J.W.de Bakker

Publisher: Springer Science & Business Media

Published: 1992-06-24

Total Pages: 740

ISBN-13: 9783540555643

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In the past decade, the formal theory of specification, verfication and development of real-time programs has grown from work of a few specialized groups to a real "bandwagon". Many eminent research groups have shifted their interests in this direction. Consequently, research in real-time is now entering established research areas in formal methods, such as process algebra, temporal logic, and model checking. This volume contains the proceedings of a workshop dedicated to the theory of real-time with the purpose of stepping back and viewing the results achieved as well as considering the directions of ongoing research. The volume gives a representative picture of what is going on in the field worldwide, presented by eminent, active researchers. The material in the volume was prepared by the authors after the workshop took place and reflects the results of the workshop discussions.

Introduction to Concurrency Theory

Author: Roberto Gorrieri

Publisher: Springer

Published: 2015-09-02

Total Pages: 341

ISBN-13: 3319214918

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This book presents the fundamentals of concurrency theory with clarity and rigor. The authors start with the semantic structure, namely labelled transition systems, which provides us with the means and the tools to express processes, to compose them, and to prove properties they enjoy. The rest of the book relies on Milner's Calculus of Communicating Systems, tailored versions of which are used to study various notions of equality between systems, and to investigate in detail the expressive power of the models considered. The authors proceed from very basic results to increasingly complex issues, with many examples and exercises that help to reveal the many subtleties of the topic. The book is suitable for advanced undergraduate and graduate students in computer science and engineering, and scientists engaged with theories of concurrency.