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Topological models of concurrency

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Resumo:Concurrency theory is the domain of theoretical computer science that deals with systems of simultane ously executing processes. Concurrent systems can be modeled mathematically in many different ways. It turned out relatively recently that directed algebraic topology can be used as a framework for concurrency theory. This dissertation studies the principal topological models of concurrency, namely partially ordered spaces, d-spaces and precubical sets. These models are used to provide semantics for a class of concur rent programs, called simple concurrent PV-programs. Additionally, we propose and implement several algorithms that calculate the mentioned semantics and address doomed and unreachable states/regions.
Autores principais:Lopes, Rodrigo Marques
Assunto:Concurrency Directed algebraic topology Partially ordered space D-space Precubical set PV-program Concorrência Topologia algébrica dirigida Espaço parcialmente ordenado D-espaço Conjunto pré-cúbico Programa P
Ano:2024
País:Portugal
Tipo de documento:dissertação de mestrado
Tipo de acesso:acesso aberto
Instituição associada:Universidade do Minho
Idioma:inglês
Origem:RepositóriUM - Universidade do Minho
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author Lopes, Rodrigo Marques
author_facet Lopes, Rodrigo Marques
author_role author
contributor_name_str_mv Kahl, Thomas
Universidade do Minho
country_str PT
creators_json_txt [{\"Person.name\":\"Lopes, Rodrigo Marques\"}]
datacite.contributors.contributor.contributorName.fl_str_mv Kahl, Thomas
Universidade do Minho
datacite.creators.creator.creatorName.fl_str_mv Lopes, Rodrigo Marques
datacite.date.Accepted.fl_str_mv 2024-03-22T00:00:00Z
datacite.date.available.fl_str_mv 2024-07-09T12:36:14Z
datacite.date.embargoed.fl_str_mv 2024-07-09T12:36:14Z
datacite.rights.fl_str_mv http://purl.org/coar/access_right/c_abf2
datacite.subjects.subject.fl_str_mv Concurrency
Directed algebraic topology
Partially ordered space
D-space
Precubical set
PV-program
Concorrência
Topologia algébrica dirigida
Espaço parcialmente ordenado
D-espaço
Conjunto pré-cúbico
Programa P
datacite.titles.title.fl_str_mv Topological models of concurrency
dc.contributor.none.fl_str_mv Kahl, Thomas
Universidade do Minho
dc.creator.none.fl_str_mv Lopes, Rodrigo Marques
dc.date.Accepted.fl_str_mv 2024-03-22T00:00:00Z
dc.date.available.fl_str_mv 2024-07-09T12:36:14Z
dc.date.embargoed.fl_str_mv 2024-07-09T12:36:14Z
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv https://hdl.handle.net/1822/92361
dc.language.none.fl_str_mv eng
dc.rights.cclincense.fl_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.none.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.rights.copyright.fl_str_mv openAccess
dc.subject.none.fl_str_mv Concurrency
Directed algebraic topology
Partially ordered space
D-space
Precubical set
PV-program
Concorrência
Topologia algébrica dirigida
Espaço parcialmente ordenado
D-espaço
Conjunto pré-cúbico
Programa P
dc.title.fl_str_mv Topological models of concurrency
dc.type.none.fl_str_mv http://purl.org/coar/resource_type/c_bdcc
description Concurrency theory is the domain of theoretical computer science that deals with systems of simultane ously executing processes. Concurrent systems can be modeled mathematically in many different ways. It turned out relatively recently that directed algebraic topology can be used as a framework for concurrency theory. This dissertation studies the principal topological models of concurrency, namely partially ordered spaces, d-spaces and precubical sets. These models are used to provide semantics for a class of concur rent programs, called simple concurrent PV-programs. Additionally, we propose and implement several algorithms that calculate the mentioned semantics and address doomed and unreachable states/regions.
dirty 0
eu_rights_str_mv openAccess
format masterThesis
fulltext.url.fl_str_mv https://prod-dspace.uminho.pt/bitstreams/7b945aa2-d25e-4c18-abc3-867c76447028/download
id rum_cff2a4452fcc661c9b00aeb8eafa8da5
identifier.url.fl_str_mv https://hdl.handle.net/1822/92361
instacron_str repositorium
institution Universidade do Minho
instname_str Universidade do Minho
language eng
network_acronym_str rum
network_name_str RepositóriUM - Universidade do Minho
oai_identifier_str oai:repositorium.uminho.pt:1822/92361
organization_str_mv urn:organizationAcronym:repositorium
person_str_mv Lopes, Rodrigo Marques
publishDate 2024
reponame_str RepositóriUM - Universidade do Minho
repository_id_str urn:repositoryAcronym:rum
service_str_mv urn:repositoryAcronym:rum
spelling engporConcurrency theory is the domain of theoretical computer science that deals with systems of simultane ously executing processes. Concurrent systems can be modeled mathematically in many different ways. It turned out relatively recently that directed algebraic topology can be used as a framework for concurrency theory. This dissertation studies the principal topological models of concurrency, namely partially ordered spaces, d-spaces and precubical sets. These models are used to provide semantics for a class of concur rent programs, called simple concurrent PV-programs. Additionally, we propose and implement several algorithms that calculate the mentioned semantics and address doomed and unreachable states/regions.application/pdfporTopological models of concurrencyLopes, Rodrigo MarquesKahl, ThomasHostingInstitutionOrganizationalUniversidade do Minhoe-mailmailto:repositorium@usdb.uminho.ptrepositorium@usdb.uminho.ptURNurn:tid:2036102702024-07-09T12:36:14Z2024-03-222024-012024-03-22T00:00:00ZHandlehttps://hdl.handle.net/1822/92361http://purl.org/coar/access_right/c_abf2open accessConcurrencyDirected algebraic topologyPartially ordered spaceD-spacePrecubical setPV-programConcorrênciaTopologia algébrica dirigidaEspaço parcialmente ordenadoD-espaçoConjunto pré-cúbicoPrograma P2422032 bytesliteraturehttp://purl.org/coar/resource_type/c_bdccmaster thesis2024-03-22http://creativecommons.org/licenses/by-nc-nd/4.0/openAccesshttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://prod-dspace.uminho.pt/bitstreams/7b945aa2-d25e-4c18-abc3-867c76447028/download
spellingShingle Topological models of concurrency
Lopes, Rodrigo Marques
Concurrency
Directed algebraic topology
Partially ordered space
D-space
Precubical set
PV-program
Concorrência
Topologia algébrica dirigida
Espaço parcialmente ordenado
D-espaço
Conjunto pré-cúbico
Programa P
status SINGLETON
subject.fl_str_mv Concurrency
Directed algebraic topology
Partially ordered space
D-space
Precubical set
PV-program
Concorrência
Topologia algébrica dirigida
Espaço parcialmente ordenado
D-espaço
Conjunto pré-cúbico
Programa P
title Topological models of concurrency
title_full Topological models of concurrency
title_fullStr Topological models of concurrency
title_full_unstemmed Topological models of concurrency
title_short Topological models of concurrency
title_sort Topological models of concurrency
topic Concurrency
Directed algebraic topology
Partially ordered space
D-space
Precubical set
PV-program
Concorrência
Topologia algébrica dirigida
Espaço parcialmente ordenado
D-espaço
Conjunto pré-cúbico
Programa P
topic_facet Concurrency
Directed algebraic topology
Partially ordered space
D-space
Precubical set
PV-program
Concorrência
Topologia algébrica dirigida
Espaço parcialmente ordenado
D-espaço
Conjunto pré-cúbico
Programa P
url https://hdl.handle.net/1822/92361
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