# Reversibility in the higher-order $π$-calculus

Lanese, Ivan and Mezzina, Claudio Antares and Stefani, Jean-Bernard Reversibility in the higher-order $π$-calculus. Theoretical Computer Science, 625. pp. 25-84. ISSN 0304-3975 (2016)

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## Abstract

The notion of reversible computation is attracting increasing interest because of its applications in diverse fields, in particular the study of programming abstractions for reliable systems. In this paper, we continue the study undertaken by Danos and Krivine on reversible CCS by defining a reversible higher-order π -calculus, called rhoπ. We prove that reversibility in our calculus is causally consistent and that the causal information used to support reversibility in rhoπ is consistent with the one used in the causal semantics of the π -calculus developed by Boreale and Sangiorgi. Finally, we show that one can faithfully encode rhoπ into a variant of higher-order π, substantially improving on the result we obtained in the conference version of this paper.

Item Type: Article Reversible computation; Process algebra; π-Calculus Q Science > QA Mathematics > QA75 Electronic computers. Computer science Computer Science and Applications Claudio Antares Mezzina 19 Apr 2016 07:48 19 Apr 2016 09:06 http://eprints.imtlucca.it/id/eprint/3346