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Bibliographic Details
Main Authors: Hirschkoff, Daniel, Quémerais, Iwan, Sangiorgi, Davide
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2504.17350
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Table of Contents:
  • The $π$-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 $π$-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.