The Geometry of Concurrent Interaction: Handling Multiple Ports by Way of Multiple Tokens

Ugo Dal Lago 1, 2 Ryo Tanaka 3 Akira Yoshimizu 3
1 FOCUS - Foundations of Component-based Ubiquitous Systems
CRISAM - Inria Sophia Antipolis - Méditerranée , DISI - Dipartimento di Informatica - Scienza e Ingegneria [Bologna]
2 DISI - Dipartimento di Scienze dell'Informazione [Bologna]
3 The University of Tokyo
Abstract : We introduce a geometry of interaction model for Mazza's multiport interaction combinators, a graph-theoretic formalism which is able to faithfully capture concurrent computation as embodied by process algebras like the π-calculus. The introduced model is based on token machines in which not one but multiple tokens are allowed to traverse the underlying net at the same time. We prove soundness and adequacy of the introduced model. The former is proved as a simulation result between the token machines one obtains along any reduction sequence. The latter is obtained by a fine analysis of convergence, both in nets and in token machines.
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Submitted on : Tuesday, November 21, 2017 - 2:08:02 PM
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Ugo Dal Lago, Ryo Tanaka, Akira Yoshimizu. The Geometry of Concurrent Interaction: Handling Multiple Ports by Way of Multiple Tokens. LICS 2017 - Thirty-Second Annual ACM/IEEE Symposium on Logic in Computer Science, Jun 2017, Reykjavik, Iceland. ⟨hal-01639411⟩

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