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Structural operational semantics for stochastic and weighted transition systems

Structural operational semantics for stochastic and weighted transition systems
Structural operational semantics for stochastic and weighted transition systems
We introduce weighted GSOS, a general syntactic framework to specify well-behaved transition systems where transitions are equipped with weights coming from a commutative monoid. We prove that weighted bisimilarity is a congruence on systems defined by weighted GSOS specifications. We illustrate the flexibility of the framework by instantiating it to handle some special cases, most notably that of stochastic transition systems. Through examples we provide weighted-GSOS definitions for common stochastic operators in the literature.
gsos, stochastic systems, rule formats, operational semantics
0890-5401
58-83
Klin, Bartek
6cb55648-cfbc-43e9-917a-385a15dc5473
Sassone, Vladimiro
df7d3c83-2aa0-4571-be94-9473b07b03e7
Klin, Bartek
6cb55648-cfbc-43e9-917a-385a15dc5473
Sassone, Vladimiro
df7d3c83-2aa0-4571-be94-9473b07b03e7

Klin, Bartek and Sassone, Vladimiro (2013) Structural operational semantics for stochastic and weighted transition systems. Information and Computation, 227, 58-83. (doi:10.1016/j.ic.2013.04.001).

Record type: Article

Abstract

We introduce weighted GSOS, a general syntactic framework to specify well-behaved transition systems where transitions are equipped with weights coming from a commutative monoid. We prove that weighted bisimilarity is a congruence on systems defined by weighted GSOS specifications. We illustrate the flexibility of the framework by instantiating it to handle some special cases, most notably that of stochastic transition systems. Through examples we provide weighted-GSOS definitions for common stochastic operators in the literature.

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e-pub ahead of print date: 9 April 2013
Published date: June 2013
Keywords: gsos, stochastic systems, rule formats, operational semantics
Organisations: Web & Internet Science

Identifiers

Local EPrints ID: 335288
URI: http://eprints.soton.ac.uk/id/eprint/335288
ISSN: 0890-5401
PURE UUID: 5e5582ee-4beb-4318-b735-3ac5f71cf81f
ORCID for Vladimiro Sassone: ORCID iD orcid.org/0000-0002-6432-1482

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Date deposited: 10 Mar 2012 12:52
Last modified: 10 Sep 2024 01:40

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Contributors

Author: Bartek Klin
Author: Vladimiro Sassone ORCID iD

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