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Comparing Transition Systems with Independence and Asynchronous Transition Systems

Comparing Transition Systems with Independence and Asynchronous Transition Systems
Comparing Transition Systems with Independence and Asynchronous Transition Systems
Transition systems with independence and asynchronous transition systems are noninterleaving models for concurrency arising from the same simple idea of decorating transitions with events. They differ for the choice of a derived versus a primitive notion of event which induces considerable differences and makes the two models suitable for different purposes. This opens the problem of investigating their mutual relationships, to which this paper gives a fully comprehensive answer. In details, we characterise the category of extensional asynchronous transitions systems as the largest full subcategory of the category of (labelled) asynchronous transition systems which admits $TSI$, the category of transition systems with independence, as a coreflective subcategory. In addition, we introduce event-maximal asynchronous transitions systems and we show that their category is equivalent to $TSI$, so providing an exhaustive characterisation of transition systems with independence in terms of asynchronous transition systems.
true concurrency, models for concurrency, semantics of concurrency, transition systems
3-540-61604-7
84-97
Hildebrandt, T.
5644eca7-b250-460f-87ee-ebda22751252
Sassone, V.
df7d3c83-2aa0-4571-be94-9473b07b03e7
Hildebrandt, T.
5644eca7-b250-460f-87ee-ebda22751252
Sassone, V.
df7d3c83-2aa0-4571-be94-9473b07b03e7

Hildebrandt, T. and Sassone, V. (1996) Comparing Transition Systems with Independence and Asynchronous Transition Systems At 7th International Conference on Concurrency Theory, CONCUR '96.. , pp. 84-97.

Record type: Conference or Workshop Item (Paper)

Abstract

Transition systems with independence and asynchronous transition systems are noninterleaving models for concurrency arising from the same simple idea of decorating transitions with events. They differ for the choice of a derived versus a primitive notion of event which induces considerable differences and makes the two models suitable for different purposes. This opens the problem of investigating their mutual relationships, to which this paper gives a fully comprehensive answer. In details, we characterise the category of extensional asynchronous transitions systems as the largest full subcategory of the category of (labelled) asynchronous transition systems which admits $TSI$, the category of transition systems with independence, as a coreflective subcategory. In addition, we introduce event-maximal asynchronous transitions systems and we show that their category is equivalent to $TSI$, so providing an exhaustive characterisation of transition systems with independence in terms of asynchronous transition systems.

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More information

Published date: 1996
Venue - Dates: 7th International Conference on Concurrency Theory, CONCUR '96., 1996-01-01
Keywords: true concurrency, models for concurrency, semantics of concurrency, transition systems
Organisations: Web & Internet Science

Identifiers

Local EPrints ID: 261955
URI: http://eprints.soton.ac.uk/id/eprint/261955
ISBN: 3-540-61604-7
PURE UUID: d2f0d9dc-cf14-42bf-84ce-0febf92ede83

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Date deposited: 12 Feb 2006
Last modified: 18 Jul 2017 08:57

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Contributors

Author: T. Hildebrandt
Author: V. Sassone

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