Calculus

Download A Calculus of Distributed and Parallel Processes by Clemens H. Cap PDF

By Clemens H. Cap

ISBN-10: 332286765X

ISBN-13: 9783322867650

This ebook introduces a method calculus for parallel, allotted and reactive structures. It describes the conceptual foundations in addition to the mathematical thought in the back of a programming language, and a couple of software examples. the selected technique presents a framework for realizing the semantics of parallel and allotted structures. in addition, it may be without delay utilized to useful difficulties.

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Additional resources for A Calculus of Distributed and Parallel Processes

Example text

This guarantee must be established by a suitable mechanism and must not be introduced by the assumption, that the scheduler will automatically make fair choices. Fair operational semantics assumes that all non-deterministic choices are fair with respect to all transitions. In larger systems which, for example, might contain scheduler components as well as communication protocols, it is possible that only selected transitions may be assumed to be fair. This situation is called selective fairness.

The quotient of all behaviours of our transition system thus may be represented by Jffi = {(m, n) I m, n E No} U {(00,0)} U {(m,oo) I m E No}. ::,: (m,n') The maximal elements of this order structure are represented by the set {(n, (0) I n E No} U {(00,0)}. There are no behaviours of the form (oo,n) with n > o. An infinite behaviour may not be extended since this would contradict the condition of finite causality. 11: ... If a behaviour can be extended, it did not observe the process as long as it would have been possible.

This will be done in the subsequent chapter. Another possibility is to reduce parallelism to non-determinism. Then parallel behaviour may be described with the present form of transition systems. In the following, the various aspects of this idea will be discussed. 5 Remark PARALLELISM VERSUS NON-DETERMINISM The classical interleaving approach for reducing parallelism to non-determinism is based on the idea that it is not possible to distinguish a process where two actions a and b may execute in parallel from a process which non-deterministically chooses between executing first a and then b and between executing first b and then a.

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