Elimination of quantifiers and undecidability in spatial logics for concurrency
Autor(a) principal: | |
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Data de Publicação: | 2006 |
Outros Autores: | |
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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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 |
format |
article |
status_str |
publishedVersion |
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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22 application/pdf |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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