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arXiv · 2504.17350

First-order store and visibility in name-passing calculi

Daniel Hirschkoff·Iwan Quémerais·Davide Sangiorgi
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Abstract

The $\pi$-calculus is the paradigmatical name-passing calculus. While being purely name-passing, it allows the representation of higher-order functions and store. We study how $\pi$-calculus processes can be controlled so that computations can only involve storage of first-order values. The discipline is enforced by a type system that is based on the notion of visibility, coming from game semantics. We discuss the impact of visibility on the behavioural theory. We propose characterisations of may-testing and barbed equivalence, based on (variants of) trace equivalence and labelled bisimilarity, in the case where computation is sequential, and in the case where computation is well-bracketed.

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Daniel Hirschkoff, Iwan Quémerais, Davide Sangiorgi. 2025-04-24. First-order store and visibility in name-passing calculi. https://arxiv.org/abs/2504.17350

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