Modelling MAC-Layer Communications in Wireless Systems

We present a timed process calculus for modelling wireless networks in which individual stations broadcast and receive messages; moreover the broadcasts are subject to collisions. Based on a reduction semantics for the calculus we define a contextual equivalence to compare the external behaviour of...

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Main Authors: Andrea Cerone, Matthew Hennessy, Massimo Merro
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2015-03-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/1138/pdf
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author Andrea Cerone
Matthew Hennessy
Massimo Merro
author_facet Andrea Cerone
Matthew Hennessy
Massimo Merro
author_sort Andrea Cerone
collection DOAJ
description We present a timed process calculus for modelling wireless networks in which individual stations broadcast and receive messages; moreover the broadcasts are subject to collisions. Based on a reduction semantics for the calculus we define a contextual equivalence to compare the external behaviour of such wireless networks. Further, we construct an extensional LTS (labelled transition system) which models the activities of stations that can be directly observed by the external environment. Standard bisimulations in this LTS provide a sound proof method for proving systems contextually equivalence. We illustrate the usefulness of the proof methodology by a series of examples. Finally we show that this proof method is also complete, for a large class of systems.
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spelling doaj.art-c837d91808b2423287ff141335c2727c2024-03-08T09:38:50ZengLogical Methods in Computer Science e.V.Logical Methods in Computer Science1860-59742015-03-01Volume 11, Issue 110.2168/LMCS-11(1:18)20151138Modelling MAC-Layer Communications in Wireless SystemsAndrea Ceronehttps://orcid.org/0000-0003-1349-6693Matthew HennessyMassimo Merrohttps://orcid.org/0000-0002-1712-7492We present a timed process calculus for modelling wireless networks in which individual stations broadcast and receive messages; moreover the broadcasts are subject to collisions. Based on a reduction semantics for the calculus we define a contextual equivalence to compare the external behaviour of such wireless networks. Further, we construct an extensional LTS (labelled transition system) which models the activities of stations that can be directly observed by the external environment. Standard bisimulations in this LTS provide a sound proof method for proving systems contextually equivalence. We illustrate the usefulness of the proof methodology by a series of examples. Finally we show that this proof method is also complete, for a large class of systems.https://lmcs.episciences.org/1138/pdfcomputer science - logic in computer science
spellingShingle Andrea Cerone
Matthew Hennessy
Massimo Merro
Modelling MAC-Layer Communications in Wireless Systems
Logical Methods in Computer Science
computer science - logic in computer science
title Modelling MAC-Layer Communications in Wireless Systems
title_full Modelling MAC-Layer Communications in Wireless Systems
title_fullStr Modelling MAC-Layer Communications in Wireless Systems
title_full_unstemmed Modelling MAC-Layer Communications in Wireless Systems
title_short Modelling MAC-Layer Communications in Wireless Systems
title_sort modelling mac layer communications in wireless systems
topic computer science - logic in computer science
url https://lmcs.episciences.org/1138/pdf
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