Read e-book online A Distributed Pi-Calculus PDF

By Matthew Hennessy

ISBN-10: 0511275641

ISBN-13: 9780511275647

ISBN-10: 0521873304

ISBN-13: 9780521873307

Disbursed structures are quickly changing into the norm in laptop technological know-how. Formal mathematical versions and theories of dispensed habit are wanted for you to comprehend them. This publication proposes a disbursed pi-calculus known as Dpi, for describing the habit of cellular brokers in a dispensed global. it really is in accordance with an current formal language, the pi-calculus, to which it provides a community layer and a primitive migration build. A mathematical thought of the habit of those allotted platforms is built, within which the presence of varieties performs an incredible function. it's also proven how in precept this conception can be utilized to increase verification options for making certain the habit of disbursed brokers. The textual content is out there to desktop scientists with a minimum heritage in discrete arithmetic. It comprises an straightforward account of the pi-calculus, and the linked idea of bisimulations. It additionally develops the sort conception required by way of Dpi from first rules.

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Example text

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. They represent a system in which the original process has successfully obtained the private data from its partner, and the private link between them used for the transfer of this data has disappeared.

X, y) ( c! () (y! | z)) Here the input channel b receives from a source client a value to be forwarded, bound to x, and an acknowledgement channel, bound to y. The value is then output to the destination client on the channel c, together with the name of the acknowledgement channel ack. At this point the acknowledgement is awaited on ack; when it is received the original acknowledgement, bound to y, is sent to the source client, and the forwarder is ready for a new input on channel b. Now consider the revised system FF2 ⇐ (new c)(F2 (b, c, ack) | F2 (c, d , ack)) where F2 (c, d , ack) is defined by replacing b, c in F2 (b, c, ack) with c, d respectively.

2; for simplicity we also assume occurrences of variables in patterns are always unique. 1 below. if v1 = v2 then R1 else R2 is a test for the identity of simple values. R1 | R2 represents two processes running in parallel; they may exchange values using input/output on channels. (new n) R is a scoping mechanism for names. For example in the process R1 | (new n) R2 the name n is known to R2 but not to R1 ; of course names are values and so in the course of a computation n may be made known to R1 as the result of a communication; this will be referred to as the scope extrusion of the name n.

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A Distributed Pi-Calculus by Matthew Hennessy


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