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The λ-calculus in the π-calculus

Published online by Cambridge University Press:  19 May 2011

XIAOJUAN CAI
Affiliation:
BASICS, Department of Computer Science and MOE-MS Key Laboratory for Intelligent Computing and Intelligent Systems, Shanghai Jiaotong University, Shanghai 200240, China Email: cxj@cs.sjtu.edu.cn; fu-yx@cs.sjtu.edu.cn
YUXI FU
Affiliation:
BASICS, Department of Computer Science and MOE-MS Key Laboratory for Intelligent Computing and Intelligent Systems, Shanghai Jiaotong University, Shanghai 200240, China Email: cxj@cs.sjtu.edu.cn; fu-yx@cs.sjtu.edu.cn

Abstract

A general approach is proposed for transforming objects to methods on the fly in the framework of the π-calculus. The power of the approach is demonstrated by applying it to generate an encoding of the full lambda calculus in the π-calculus. The encoding is proved to preserve and reflect beta reduction, and is shown to be fully abstract with respect to Abramsky's applicative bisimilarity.

Type
Paper
Copyright
Copyright © Cambridge University Press 2011

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