On the Boundary between Decidability and Undecidability of Asynchronous Session Subtyping - Université Côte d'Azur Accéder directement au contenu
Article Dans Une Revue Theoretical Computer Science Année : 2018

On the Boundary between Decidability and Undecidability of Asynchronous Session Subtyping

Résumé

Session types are behavioural types for guaranteeing that concurrent programs are free from basic communication errors. Recent work has shown that asyn-chronous session subtyping is undecidable. However, since session types have become popular in mainstream programming languages in which asynchronous communication is the norm rather than the exception, it is crucial to detect significant decidable subtyping relations. Previous work considered extremely restrictive fragments in which limitations were imposed to the size of communication buffer (at most 1) or to the possibility to express multiple choices (disallowing them completely in one of the compared types). In this work, for the first time, we show decidability of a fragment that does not impose any limitation on communication buffers and allows both the compared types to include multiple choices for either input or output, thus yielding a fragment which is more significant from an applicability viewpoint. In general, we study the boundary between decidability and undecidability by considering several fragments of subtyping. Notably, we show that subtyping remains undecidable even if restricted to not using output covariance and input contravariance.
Fichier principal
Vignette du fichier
tcs.pdf (743.75 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01921168 , version 1 (13-11-2018)

Identifiants

Citer

Mario Bravetti, Marco Carbone, Gianluigi Zavattaro. On the Boundary between Decidability and Undecidability of Asynchronous Session Subtyping. Theoretical Computer Science, 2018, 722, pp.19-51. ⟨10.1016/j.tcs.2018.02.010⟩. ⟨hal-01921168⟩
34 Consultations
89 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More