Techniques in weak analysis for conservation results
Autor(a) principal: | |
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Data de Publicação: | 2013 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10400.2/10484 |
Resumo: | We review and describe the main techniques for setting up systems of weak analysis, i.e. formal systems of second-order arithmetic related to subexponential classes of computational complexity. These involve techniques of proof theory (e.g., Herbrand’s theorem and the cut-elimination theorem) and model theoretic techniques like forcing. The techniques are illustrated for the particular case of polytime computability. We also include a brief section where we list the known results in weak analysis. |
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Techniques in weak analysis for conservation resultsWeak analysisConservation resultsBounded arithmeticCut-eliminationForcingPolytime computabilityWe review and describe the main techniques for setting up systems of weak analysis, i.e. formal systems of second-order arithmetic related to subexponential classes of computational complexity. These involve techniques of proof theory (e.g., Herbrand’s theorem and the cut-elimination theorem) and model theoretic techniques like forcing. The techniques are illustrated for the particular case of polytime computability. We also include a brief section where we list the known results in weak analysis.CSLI Lecture Notes Number 211Repositório AbertoFernandes, AntónioFerreira, FernandoFerreira, Gilda2021-02-11T10:26:10Z2013-092013-09-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/10484eng9781575867243 (Online)9781575867236 (Print)info: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:RCAAP2023-07-07T16:10:19ZPortal AgregadorONG |
dc.title.none.fl_str_mv |
Techniques in weak analysis for conservation results |
title |
Techniques in weak analysis for conservation results |
spellingShingle |
Techniques in weak analysis for conservation results Fernandes, António Weak analysis Conservation results Bounded arithmetic Cut-elimination Forcing Polytime computability |
title_short |
Techniques in weak analysis for conservation results |
title_full |
Techniques in weak analysis for conservation results |
title_fullStr |
Techniques in weak analysis for conservation results |
title_full_unstemmed |
Techniques in weak analysis for conservation results |
title_sort |
Techniques in weak analysis for conservation results |
author |
Fernandes, António |
author_facet |
Fernandes, António Ferreira, Fernando Ferreira, Gilda |
author_role |
author |
author2 |
Ferreira, Fernando Ferreira, Gilda |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Repositório Aberto |
dc.contributor.author.fl_str_mv |
Fernandes, António Ferreira, Fernando Ferreira, Gilda |
dc.subject.por.fl_str_mv |
Weak analysis Conservation results Bounded arithmetic Cut-elimination Forcing Polytime computability |
topic |
Weak analysis Conservation results Bounded arithmetic Cut-elimination Forcing Polytime computability |
description |
We review and describe the main techniques for setting up systems of weak analysis, i.e. formal systems of second-order arithmetic related to subexponential classes of computational complexity. These involve techniques of proof theory (e.g., Herbrand’s theorem and the cut-elimination theorem) and model theoretic techniques like forcing. The techniques are illustrated for the particular case of polytime computability. We also include a brief section where we list the known results in weak analysis. |
publishDate |
2013 |
dc.date.none.fl_str_mv |
2013-09 2013-09-01T00:00:00Z 2021-02-11T10:26:10Z |
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 |
http://hdl.handle.net/10400.2/10484 |
url |
http://hdl.handle.net/10400.2/10484 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
9781575867243 (Online) 9781575867236 (Print) |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
CSLI Lecture Notes Number 211 |
publisher.none.fl_str_mv |
CSLI Lecture Notes Number 211 |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
institution |
RCAAP |
reponame_str |
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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1777302857028993024 |