Linearity, session types and the Pi calculus

Author:

GIUNTI MARCO,VASCONCELOS VASCO THUDICHUM

Abstract

We present a type system based on session types that works on a conventional pi calculus. Types are equipped with a constructor that describes the two ends of a single communication channel, this being the only type available for describing the behaviour of channels. Session types, in turn, describe the behaviour of each individual channel end, as usual. A novel notion of typing context split allows for typing processes not typable with extant type systems. We show that our system guarantees that typed processes do not engage in races for linear resources. We assess the expressiveness of the type system by providing three distinct encodings – from the pi calculus with polarized variables, from the pi calculus with accept and request primitives, and from the linear pi calculus – into our system. For each language we present operational and typing correspondences, showing that our system effectively subsumes foregoing works on linear and session types. In the case of the linear pi calculus we also provide a completeness result.

Publisher

Cambridge University Press (CUP)

Subject

Computer Science Applications,Mathematics (miscellaneous)

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. GoPi: Compiling Linear and Static Channels in Go;Lecture Notes in Computer Science;2020

2. Locations and session types in a language with higher-order reflection;Proceedings of the 9th ACM SIGPLAN International Workshop on Programming Based on Actors, Agents, and Decentralized Control - AGERE 2019;2019

3. Foundations of Session Types and Behavioural Contracts;ACM Computing Surveys;2016-07-28

4. Session typing and asynchronous subtyping for the higher-order π-calculus;Information and Computation;2015-04

5. Towards Static Deadlock Resolution in the $$\pi $$ -Calculus;Trustworthy Global Computing;2014

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