Read e-book online A Distributed Pi-Calculus PDF

By Matthew Hennessy

ISBN-10: 0511275641

ISBN-13: 9780511275647

ISBN-10: 0521873304

ISBN-13: 9780521873307

Allotted structures are speedy changing into the norm in desktop technology. Formal mathematical types and theories of dispensed habit are wanted so that it will comprehend them. This booklet proposes a allotted pi-calculus known as Dpi, for describing the habit of cellular brokers in a allotted global. it's according to an latest formal language, the pi-calculus, to which it provides a community layer and a primitive migration build. A mathematical idea of the habit of those allotted platforms is constructed, within which the presence of varieties performs an immense function. it's also proven how in precept this concept can be utilized to improve verification concepts for ensuring the habit of dispensed brokers. The textual content is obtainable to desktop scientists with a minimum heritage in discrete arithmetic. It comprises an straight forward account of the pi-calculus, and the linked concept of bisimulations. It additionally develops the kind concept required through Dpi from first ideas.

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Extra resources for A Distributed Pi-Calculus

Example text

X) x! v − → b! b (new b) c! (x) (x! v | P) | (new b)(c! (x) R) −→ (new b)(b! (x) R) where we assume x does not occur in P. Here the process (new b)(c! (x) R) uses the channel c to send a private channel b to its partner, on which it, and only it, can receive data. Its partner uses this newly acquired private channel to send some private data, say v, resulting in the system (new b)(stop |P | stop |R{|v/x|}) Since b is guaranteed not to occur in P this term is effectively the same as P | R{|v/x|} For example these two terms can be shown to be structurally equivalent.

V τ −→ R{|v/x|} | stop The rule (l-comm) also implements scope extrusion. (x) x! v | (new b) c! b τ −→ (new b)(b! (x) x! v − → b! b (new b) c! (x) (x! v | P) | (new b)(c! (x) R) −→ (new b)(b! (x) R) where we assume x does not occur in P. Here the process (new b)(c! (x) R) uses the channel c to send a private channel b to its partner, on which it, and only it, can receive data. Its partner uses this newly acquired private channel to send some private data, say v, resulting in the system (new b)(stop |P | stop |R{|v/x|}) Since b is guaranteed not to occur in P this term is effectively the same as P | R{|v/x|} For example these two terms can be shown to be structurally equivalent.

In the body of the text we will only use the forms of substitution already discussed above, R{|m/n|}, R{|V/X |}, which of course are particular instances of Rσ . 2 Reduction semantics for aPi There are at least two standard methods for giving a formal operational semantics to a language such as aPi. One, called reduction semantics, describes the allowable computations from individual processes, while the other, which we will refer to as lts semantics, describes the possible ways a process may interact with its environment, and the consequences of these interactions.

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A Distributed Pi-Calculus by Matthew Hennessy


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