NDLI: Linearity and the pi-calculus

Content Provider	ACM Digital Library
Author	Pierce, Benjamin C. Kobayashi, Naoki Turner, David N.
Abstract	The economy and flexibility of the pi-calculus make it attractive both as an object of theoretical study and as a basis for concurrent language design and implementation. However, such generality has a cost: encoding higher-level features like functional computation in pi-calculus throws away potentially useful information. We show how a linear type system can be used to recover important static information about a process's behaviour. In particular, we can guarantee that two processes communicating over a linear channel cannot interfere with other communicating processes. This enables more aggressive optimisation of communications over linear channels and allows useful refinements to the usual notions of process equivalence for pi-calculus.After developing standard results such as soundness of typing, we focus on equivalences, adapting the standard notion of barbed bisimulation to the linear setting and showing how reductions on linear channels induce a useful "partial confluence" of process behaviors.
Starting Page	358
Ending Page	371
Page Count	14
File Format	PDF
ISBN	0897917693
DOI	10.1145/237721.237804
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	1996-01-01
Publisher Place	New York
Access Restriction	Subscribed
Content Type	Text
Resource Type	Article

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Linearity and the pi-calculus