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

By Clemens H. Cap

ISBN-10: 3322867633

ISBN-13: 9783322867636

ISBN-10: 332286765X

ISBN-13: 9783322867650

This booklet introduces a approach calculus for parallel, allotted and reactive platforms. It describes the conceptual foundations in addition to the mathematical conception at the back of a programming language, and a couple of program examples. the selected technique offers a framework for knowing the semantics of parallel and dispensed platforms. additionally, it may be at once utilized to sensible difficulties.

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Extra resources for A Calculus of Distributed and Parallel Processes

Example text

4. Non-Determinism, Causality, and Behaviour ... ::': B2. ::,: illustrates the direction of time. ::,:. ::,: B2 denotes that B2 is an extension of B1 , and thus B2 is an observation which could be made, after having observed Bl and then continuing to observe the system for some additional time. ::,: ~ Jffi(P) x Jffi(P) is a well defined order relation on the set of all behaviours of a transition system, identified by transition isomorphism. ::': only for behaviours of a process. It is straightforward to check that it may be extended to equivalence classes.

10. In a certain sense, behaviours are "unfoldings" of transition systems in time. 4. 10: Observing and Observed System. Let us formalize this: 26 Definition BEHAVIOUR Let P = (8, T, --t) be a process. ¥ fs(X') (8b, n, --tb) is called the obseroing system and Us, h) the obseroation functions. A behaviour of a rooted process is a behaviour of the respective process whose initial cause is mapped to the initial state of the process. A behaviour is called initial6 , iff it contains only one state. For labeled processes the same definition is used.

10. In a certain sense, behaviours are "unfoldings" of transition systems in time. 4. 10: Observing and Observed System. Let us formalize this: 26 Definition BEHAVIOUR Let P = (8, T, --t) be a process. ¥ fs(X') (8b, n, --tb) is called the obseroing system and Us, h) the obseroation functions. A behaviour of a rooted process is a behaviour of the respective process whose initial cause is mapped to the initial state of the process. A behaviour is called initial6 , iff it contains only one state. For labeled processes the same definition is used.

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


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