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The λ-calculus in the π-calculus†

Published online by Cambridge University Press:  19 May 2011

XIAOJUAN CAI  and
YUXI FU
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
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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
Information
Mathematical Structures in Computer Science , Volume 21 , Issue 5 , October 2011 , pp. 943 - 996
Copyright
Copyright © Cambridge University Press 2011

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