Name-passing calculi: from fusions to preorders and types

Daniel Hirschkoff 1, 2, 3 Jean-Marie Madiot 1, 2, 3, * Davide Sangiorgi 2, 4
* Corresponding author
2 FOCUS - Foundations of Component-based Ubiquitous Systems
CRISAM - Inria Sophia Antipolis - Méditerranée , DISI - Dipartimento di Informatica - Scienza e Ingegneria [Bologna]
3 PLUME - Preuves et Langages
LIP - Laboratoire de l'Informatique du Parallélisme
Abstract : The fusion calculi are a simplification of the pi-calculus in which input and output are symmetric and restriction is the only binder. We highlight a major difference between these calculi and the pi-calculus from the point of view of types, proving some impossibility results for subtyping in fusion calculi. We propose a modification of fusion calculi in which the name equivalences produced by fusions are replaced by name preorders, and with a distinction between positive and negative occurrences of names. The resulting calculus allows us to import subtype systems, and related results, from the pi-calculus. We examine the consequences of the modification on behavioural equivalence (e.g., context-free characterisations of barbed congruence) and expressiveness (e.g., full abstraction of the embedding of the asynchronous pi-calculus).
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Daniel Hirschkoff, Jean-Marie Madiot, Davide Sangiorgi. Name-passing calculi: from fusions to preorders and types. LICS - 28th Annual ACM/IEEE Symposium on Logic in Computer Science - 2013, 2013, New Orleans, United States. pp.378-387, ⟨10.1109/LICS.2013.44⟩. ⟨hal-00904138⟩

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