# The λ-calculus in the π-calculus†

@article{Cai2011TheI,
title={The $\lambda$-calculus in the $\pi$-calculus†},
author={Xiaojuan Cai and Yuxi Fu},
journal={Mathematical Structures in Computer Science},
year={2011},
volume={21},
pages={943 - 996}
}
• Published 19 May 2011
• Computer Science
• Mathematical Structures in Computer Science
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.

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