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Sub-behaviour relations for session-based client/server systems

Published online by Cambridge University Press:  14 November 2014

FRANCO BARBANERA  and
UGO DE'LIGUORO
FRANCO BARBANERA
Affiliation:
Dipartimento di Matematica e Informatica, University of Catania, Catania, Italy Email: barba@dmi.unict.it.
UGO DE'LIGUORO
Affiliation:
Dipartimento di Informatica, University of Torino, Torino, Italy Email: ugo.deliguoro@unito.it.
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Abstract

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We propose a refinement and a simplification of the behavioural semantics of session types, based on the concepts of compliance and sub-behaviour from the theory of web contracts. We introduce three relations on a suitable class of behaviours with higher-order input/output, called ‘session behaviours’. Such relations, depending on each other, represent the idea of sub-behaviour from the point of view of a client, a server or a peer, respectively. A restriction of the intersection of the first two relations characterizes the ‘usual’ sub-behaviour relation from the literature. We then device an algorithmic formal system for three subtyping relations (dubbed CSP-subtyping) for session types that takes into account the role played by a user of a channel during an interaction, so extending Gay and Hole subtyping theory. We show that our session behaviours and sub-behaviour relations provide sound and complete semantics for CSP-subtyping, and for Gay and Hole subtyping as a by-product.

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Type
Paper
Information
Mathematical Structures in Computer Science , Volume 25 , Issue 6 , September 2015 , pp. 1339 - 1381
Copyright
Copyright © Cambridge University Press 2014 

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