Elimination of quantifiers and undecidability in spatial logics for concurrency

Detalhes bibliográficos
Autor(a) principal: Caires, Luís
Data de Publicação: 2006
Outros Autores: Lozes, Etienne
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://doi.org/10.1016/j.tcs.2006.01.020
Resumo: We thank Hongseok Yang for the illuminating discussion that prompted our counterexample in Section 4. We acknowledge Luís Monteiro, Daniel Hirschkoff and Davide Sangiorgi for all the rich exchanges and encouragement; and Luca Cardelli for many related discussions. E. Jeandel provided some references about quantifier elimination. This collaboration was supported by FET IST 2001-33310 Profundis. E. Lozes was also funded by an “Eurodoc” grant from Région Rhône Alpes.
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spelling Elimination of quantifiers and undecidability in spatial logics for concurrencyConcurrencyExpressivenessSpatial logicUndecidabilityTheoretical Computer ScienceComputer Science(all)We thank Hongseok Yang for the illuminating discussion that prompted our counterexample in Section 4. We acknowledge Luís Monteiro, Daniel Hirschkoff and Davide Sangiorgi for all the rich exchanges and encouragement; and Luca Cardelli for many related discussions. E. Jeandel provided some references about quantifier elimination. This collaboration was supported by FET IST 2001-33310 Profundis. E. Lozes was also funded by an “Eurodoc” grant from Région Rhône Alpes.The introduction of spatial logics in concurrency is motivated by a shift of focus from concurrent systems towards distributed systems. Aiming at a deeper understanding of the essence of dynamic spatial logics, we study a minimal spatial logic without quantifiers or any operators talking about names. The logic just includes the basic spatial operators void, composition and its adjunct, and the next step modality; for the model we consider a tiny fragment of CCS. We show that this core logic can already encode its own extension with quantification over actions, and modalities for actions. From this result, we derive several consequences. Firstly, we establish the intensionality of the logic, we characterize the equivalence it induces on processes, and we derive characteristic formulas. Secondly, we show that, unlike in static spatial logics, the composition adjunct adds to the expressiveness of the logic, so that adjunct elimination is not possible for dynamic spatial logics, even quantifier-free. Finally, we prove that both model-checking and satisfiability problems are undecidable in our logic. We also conclude that our results extend to other calculi, namely the π-calculus and the ambient calculus.DI - Departamento de InformáticaRUNCaires, LuísLozes, Etienne2019-02-25T23:20:08Z2006-08-072006-08-07T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article22application/pdfhttps://doi.org/10.1016/j.tcs.2006.01.020eng0304-3975PURE: 11709602http://www.scopus.com/inward/record.url?scp=33746287259&partnerID=8YFLogxKhttps://doi.org/10.1016/j.tcs.2006.01.020info: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:RCAAP2024-03-11T04:29:18Zoai:run.unl.pt:10362/61652Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:33:40.188554Repositório 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 Elimination of quantifiers and undecidability in spatial logics for concurrency
title Elimination of quantifiers and undecidability in spatial logics for concurrency
spellingShingle Elimination of quantifiers and undecidability in spatial logics for concurrency
Caires, Luís
Concurrency
Expressiveness
Spatial logic
Undecidability
Theoretical Computer Science
Computer Science(all)
title_short Elimination of quantifiers and undecidability in spatial logics for concurrency
title_full Elimination of quantifiers and undecidability in spatial logics for concurrency
title_fullStr Elimination of quantifiers and undecidability in spatial logics for concurrency
title_full_unstemmed Elimination of quantifiers and undecidability in spatial logics for concurrency
title_sort Elimination of quantifiers and undecidability in spatial logics for concurrency
author Caires, Luís
author_facet Caires, Luís
Lozes, Etienne
author_role author
author2 Lozes, Etienne
author2_role author
dc.contributor.none.fl_str_mv DI - Departamento de Informática
RUN
dc.contributor.author.fl_str_mv Caires, Luís
Lozes, Etienne
dc.subject.por.fl_str_mv Concurrency
Expressiveness
Spatial logic
Undecidability
Theoretical Computer Science
Computer Science(all)
topic Concurrency
Expressiveness
Spatial logic
Undecidability
Theoretical Computer Science
Computer Science(all)
description We thank Hongseok Yang for the illuminating discussion that prompted our counterexample in Section 4. We acknowledge Luís Monteiro, Daniel Hirschkoff and Davide Sangiorgi for all the rich exchanges and encouragement; and Luca Cardelli for many related discussions. E. Jeandel provided some references about quantifier elimination. This collaboration was supported by FET IST 2001-33310 Profundis. E. Lozes was also funded by an “Eurodoc” grant from Région Rhône Alpes.
publishDate 2006
dc.date.none.fl_str_mv 2006-08-07
2006-08-07T00:00:00Z
2019-02-25T23:20:08Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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dc.identifier.uri.fl_str_mv https://doi.org/10.1016/j.tcs.2006.01.020
url https://doi.org/10.1016/j.tcs.2006.01.020
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0304-3975
PURE: 11709602
http://www.scopus.com/inward/record.url?scp=33746287259&partnerID=8YFLogxK
https://doi.org/10.1016/j.tcs.2006.01.020
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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