Axiomatizing bisimulation equivalences and metrics from probabilistic SOS rules

Autores
D'Argenio, Pedro Ruben; Gebler, Daniel; Lee, Matías David
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Fil: D'Argenio, Pedro Ruben. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: D'Argenio, Pedro Ruben. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
Fil: Lee, Matías David. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: Lee, Matías David. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
Fil: Gebler, Daniel. Universidad Libre de Ámsterdam; Países Bajos.
Probabilistic transition system specifications (PTSS) provide structural operational semantics for reactive probabilistic labeled transition systems. Bisimulation equivalences and bisimulation metrics are fundamental notions to describe behavioral relations and distances of states, respectively. We provide a method to generate from a PTSS a sound and ground-complete equational axiomatization for strong and convex bisimilarity. The construction is based on the method of Aceto, Bloom and Vaandrager developed for non-deterministic transition system specifications. The novelty in our approach is to employ many-sorted algebras to axiomatize separately non-deterministic choice, probabilistic choice and their interaction. Furthermore, we generalize this method to axiomatize the strong and convex metric bisimulation distance of PTSS.
Supported by ANPCYT PICT 2012-1823, SeCyT-UNC 05/B497 and 05/BP02, Eramus Mundus Action 2 Lot 13A EU Mobility Programme 2010-2401/001-001-EMA2 and EU 7FP grant agreement 295261 (MEALS).
publishedVersion
Fil: D'Argenio, Pedro Ruben. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: D'Argenio, Pedro Ruben. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
Fil: Lee, Matías David. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: Lee, Matías David. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
Fil: Gebler, Daniel. Universidad Libre de Ámsterdam; Países Bajos.
Ciencias de la Computación
Fuente
ISSN: 0302-9743
Materia
Axiomatization
Bisimulation
Probability
Structured Operational Semantics
Probabilistic Transition Systems
Nivel de accesibilidad
acceso abierto
Condiciones de uso
Repositorio
Repositorio Digital Universitario (UNC)
Institución
Universidad Nacional de Córdoba
OAI Identificador
oai:rdu.unc.edu.ar:11086/30135
Acceder
id RDUUNC_fd690b1f086e3a0aa92f8be3916bb25c
oai_identifier_str oai:rdu.unc.edu.ar:11086/30135
network_acronym_str RDUUNC
repository_id_str 2572
network_name_str Repositorio Digital Universitario (UNC)
spelling Axiomatizing bisimulation equivalences and metrics from probabilistic SOS rulesD'Argenio, Pedro RubenGebler, DanielLee, Matías DavidAxiomatizationBisimulationProbabilityStructured Operational SemanticsProbabilistic Transition SystemsFil: D'Argenio, Pedro Ruben. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.Fil: D'Argenio, Pedro Ruben. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.Fil: Lee, Matías David. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.Fil: Lee, Matías David. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.Fil: Gebler, Daniel. Universidad Libre de Ámsterdam; Países Bajos.Probabilistic transition system specifications (PTSS) provide structural operational semantics for reactive probabilistic labeled transition systems. Bisimulation equivalences and bisimulation metrics are fundamental notions to describe behavioral relations and distances of states, respectively. We provide a method to generate from a PTSS a sound and ground-complete equational axiomatization for strong and convex bisimilarity. The construction is based on the method of Aceto, Bloom and Vaandrager developed for non-deterministic transition system specifications. The novelty in our approach is to employ many-sorted algebras to axiomatize separately non-deterministic choice, probabilistic choice and their interaction. Furthermore, we generalize this method to axiomatize the strong and convex metric bisimulation distance of PTSS.Supported by ANPCYT PICT 2012-1823, SeCyT-UNC 05/B497 and 05/BP02, Eramus Mundus Action 2 Lot 13A EU Mobility Programme 2010-2401/001-001-EMA2 and EU 7FP grant agreement 295261 (MEALS).publishedVersionFil: D'Argenio, Pedro Ruben. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.Fil: D'Argenio, Pedro Ruben. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.Fil: Lee, Matías David. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.Fil: Lee, Matías David. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.Fil: Gebler, Daniel. Universidad Libre de Ámsterdam; Países Bajos.Ciencias de la Computación2014info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://hdl.handle.net/11086/30135http://dx.doi.org/10.1007/978-3-642-54830-7_19ISSN: 0302-9743reponame:Repositorio Digital Universitario (UNC)instname:Universidad Nacional de Córdobainstacron:UNCenginfo:eu-repo/semantics/openAccess2025-09-04T12:31:02Zoai:rdu.unc.edu.ar:11086/30135Institucionalhttps://rdu.unc.edu.ar/Universidad públicaNo correspondehttp://rdu.unc.edu.ar/oai/snrdoca.unc@gmail.comArgentinaNo correspondeNo correspondeNo correspondeopendoar:25722025-09-04 12:31:02.749Repositorio Digital Universitario (UNC) - Universidad Nacional de Córdobafalse
dc.title.none.fl_str_mv Axiomatizing bisimulation equivalences and metrics from probabilistic SOS rules
title Axiomatizing bisimulation equivalences and metrics from probabilistic SOS rules
spellingShingle Axiomatizing bisimulation equivalences and metrics from probabilistic SOS rules
D'Argenio, Pedro Ruben
Axiomatization
Bisimulation
Probability
Structured Operational Semantics
Probabilistic Transition Systems
title_short Axiomatizing bisimulation equivalences and metrics from probabilistic SOS rules
title_full Axiomatizing bisimulation equivalences and metrics from probabilistic SOS rules
title_fullStr Axiomatizing bisimulation equivalences and metrics from probabilistic SOS rules
title_full_unstemmed Axiomatizing bisimulation equivalences and metrics from probabilistic SOS rules
title_sort Axiomatizing bisimulation equivalences and metrics from probabilistic SOS rules
dc.creator.none.fl_str_mv D'Argenio, Pedro Ruben
Gebler, Daniel
Lee, Matías David
author D'Argenio, Pedro Ruben
author_facet D'Argenio, Pedro Ruben
Gebler, Daniel
Lee, Matías David
author_role author
author2 Gebler, Daniel
Lee, Matías David
author2_role author
author
dc.subject.none.fl_str_mv Axiomatization
Bisimulation
Probability
Structured Operational Semantics
Probabilistic Transition Systems
topic Axiomatization
Bisimulation
Probability
Structured Operational Semantics
Probabilistic Transition Systems
dc.description.none.fl_txt_mv Fil: D'Argenio, Pedro Ruben. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: D'Argenio, Pedro Ruben. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
Fil: Lee, Matías David. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: Lee, Matías David. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
Fil: Gebler, Daniel. Universidad Libre de Ámsterdam; Países Bajos.
Probabilistic transition system specifications (PTSS) provide structural operational semantics for reactive probabilistic labeled transition systems. Bisimulation equivalences and bisimulation metrics are fundamental notions to describe behavioral relations and distances of states, respectively. We provide a method to generate from a PTSS a sound and ground-complete equational axiomatization for strong and convex bisimilarity. The construction is based on the method of Aceto, Bloom and Vaandrager developed for non-deterministic transition system specifications. The novelty in our approach is to employ many-sorted algebras to axiomatize separately non-deterministic choice, probabilistic choice and their interaction. Furthermore, we generalize this method to axiomatize the strong and convex metric bisimulation distance of PTSS.
Supported by ANPCYT PICT 2012-1823, SeCyT-UNC 05/B497 and 05/BP02, Eramus Mundus Action 2 Lot 13A EU Mobility Programme 2010-2401/001-001-EMA2 and EU 7FP grant agreement 295261 (MEALS).
publishedVersion
Fil: D'Argenio, Pedro Ruben. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: D'Argenio, Pedro Ruben. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
Fil: Lee, Matías David. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: Lee, Matías David. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
Fil: Gebler, Daniel. Universidad Libre de Ámsterdam; Países Bajos.
Ciencias de la Computación
description Fil: D'Argenio, Pedro Ruben. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
publishDate 2014
dc.date.none.fl_str_mv 2014
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11086/30135
http://dx.doi.org/10.1007/978-3-642-54830-7_19
url http://hdl.handle.net/11086/30135
http://dx.doi.org/10.1007/978-3-642-54830-7_19
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv ISSN: 0302-9743
reponame:Repositorio Digital Universitario (UNC)
instname:Universidad Nacional de Córdoba
instacron:UNC
reponame_str Repositorio Digital Universitario (UNC)
collection Repositorio Digital Universitario (UNC)
instname_str Universidad Nacional de Córdoba
instacron_str UNC
institution UNC
repository.name.fl_str_mv Repositorio Digital Universitario (UNC) - Universidad Nacional de Córdoba
repository.mail.fl_str_mv oca.unc@gmail.com
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score 13.13397

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