Deciding synchronous Kleene algebra with derivatives

Detalhes bibliográficos
Autor(a) principal: Sabine Broda
Data de Publicação: 2015
Outros Autores: Sílvia Cavadas, Miguel Ferreira, Nelma Moreira
Tipo de documento: Livro
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/10216/90793
Resumo: Synchronous Kleene algebra (SKA) is a decidable framework that combines Kleene algebra (KA) with a synchrony model of concurrency. Elements of SKA can be seen as processes taking place within a fixed discrete time frame and that, at each time step, may execute one or more basic actions or then come to a halt. The synchronous Kleene algebra with tests (SKAT) combines SKA with a Boolean algebra. Both algebras were introduced by Prisacariu, who proved the decidability of the equational theory, through a Kleene theorem based on the classical Thompson -NFA construction. Using the notion of partial derivatives, we present a new decision procedure for equivalence between SKA terms. The results are extended for SKAT considering automata with transitions labeled by Boolean expressions instead of atoms. This work continous previous research done for KA and KAT, where derivative based methods were used in feasible algorithms for testing terms equivalence. (c) Springer International Publishing Switzerland 2015.
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spelling Deciding synchronous Kleene algebra with derivativesSynchronous Kleene algebra (SKA) is a decidable framework that combines Kleene algebra (KA) with a synchrony model of concurrency. Elements of SKA can be seen as processes taking place within a fixed discrete time frame and that, at each time step, may execute one or more basic actions or then come to a halt. The synchronous Kleene algebra with tests (SKAT) combines SKA with a Boolean algebra. Both algebras were introduced by Prisacariu, who proved the decidability of the equational theory, through a Kleene theorem based on the classical Thompson -NFA construction. Using the notion of partial derivatives, we present a new decision procedure for equivalence between SKA terms. The results are extended for SKAT considering automata with transitions labeled by Boolean expressions instead of atoms. This work continous previous research done for KA and KAT, where derivative based methods were used in feasible algorithms for testing terms equivalence. (c) Springer International Publishing Switzerland 2015.20152015-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bookapplication/pdfhttps://hdl.handle.net/10216/90793eng10.1007/978-3-319-22360-5_5Sabine BrodaSílvia CavadasMiguel FerreiraNelma Moreirainfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-29T15:00:05Zoai:repositorio-aberto.up.pt:10216/90793Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:13:21.463013Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Deciding synchronous Kleene algebra with derivatives
title Deciding synchronous Kleene algebra with derivatives
spellingShingle Deciding synchronous Kleene algebra with derivatives
Sabine Broda
title_short Deciding synchronous Kleene algebra with derivatives
title_full Deciding synchronous Kleene algebra with derivatives
title_fullStr Deciding synchronous Kleene algebra with derivatives
title_full_unstemmed Deciding synchronous Kleene algebra with derivatives
title_sort Deciding synchronous Kleene algebra with derivatives
author Sabine Broda
author_facet Sabine Broda
Sílvia Cavadas
Miguel Ferreira
Nelma Moreira
author_role author
author2 Sílvia Cavadas
Miguel Ferreira
Nelma Moreira
author2_role author
author
author
dc.contributor.author.fl_str_mv Sabine Broda
Sílvia Cavadas
Miguel Ferreira
Nelma Moreira
description Synchronous Kleene algebra (SKA) is a decidable framework that combines Kleene algebra (KA) with a synchrony model of concurrency. Elements of SKA can be seen as processes taking place within a fixed discrete time frame and that, at each time step, may execute one or more basic actions or then come to a halt. The synchronous Kleene algebra with tests (SKAT) combines SKA with a Boolean algebra. Both algebras were introduced by Prisacariu, who proved the decidability of the equational theory, through a Kleene theorem based on the classical Thompson -NFA construction. Using the notion of partial derivatives, we present a new decision procedure for equivalence between SKA terms. The results are extended for SKAT considering automata with transitions labeled by Boolean expressions instead of atoms. This work continous previous research done for KA and KAT, where derivative based methods were used in feasible algorithms for testing terms equivalence. (c) Springer International Publishing Switzerland 2015.
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-01-01T00:00:00Z
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dc.relation.none.fl_str_mv 10.1007/978-3-319-22360-5_5
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