The rules-as types interpretations of Schröder-Heister's extension of natural deduction

Detalhes bibliográficos
Autor(a) principal: Haeusler , Edward Hermann
Data de Publicação: 1999
Outros Autores: Pereira , Luiz Carlos Pinheiro Dias
Tipo de documento: Artigo
Idioma: por
Título da fonte: Manuscrito (Online)
Texto Completo: https://periodicos.sbu.unicamp.br/ojs/index.php/manuscrito/article/view/8666391
Resumo: From this theorem we can conclude that any Cartesian Closed Category with finite co-products is a model λR. The addition of types of arbitrary levels does not interfere with the basic semantical intuitions. The enlarged expressive power of λR relies, for exemple, on the possibility of considering certain assumption formation processes as the specification of programming modules (as in MODULA- II (Wirth (1985))): the modules hide their implementations, but specify the interface (types of the premises, of the discharged hypothesis ando f the conclusion) that they ought to have with the world.
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spelling The rules-as types interpretations of Schröder-Heister's extension of natural deductionDedução naturalSchröder-HeisterFrom this theorem we can conclude that any Cartesian Closed Category with finite co-products is a model λR. The addition of types of arbitrary levels does not interfere with the basic semantical intuitions. The enlarged expressive power of λR relies, for exemple, on the possibility of considering certain assumption formation processes as the specification of programming modules (as in MODULA- II (Wirth (1985))): the modules hide their implementations, but specify the interface (types of the premises, of the discharged hypothesis ando f the conclusion) that they ought to have with the world.Universidade Estadual de Campinas1999-10-31info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionTextoapplication/pdfhttps://periodicos.sbu.unicamp.br/ojs/index.php/manuscrito/article/view/8666391Manuscrito: Revista Internacional de Filosofia; v. 22 n. 2 (1999): out.; 149-163Manuscrito: International Journal of Philosophy; Vol. 22 No. 2 (1999): Oct.; 149-163Manuscrito: Revista Internacional de Filosofía; Vol. 22 Núm. 2 (1999): out.; 149-1632317-630Xreponame:Manuscrito (Online)instname:Universidade Estadual de Campinas (UNICAMP)instacron:UNICAMPporhttps://periodicos.sbu.unicamp.br/ojs/index.php/manuscrito/article/view/8666391/28500Brasil; ContemporâneoCopyright (c) 1999 https://creativecommons.org/licenses/by/4.0/https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccess Haeusler , Edward HermannPereira , Luiz Carlos Pinheiro Dias 2022-05-20T17:49:56Zoai:ojs.periodicos.sbu.unicamp.br:article/8666391Revistahttps://periodicos.sbu.unicamp.br/ojs/index.php/manuscritoPUBhttps://periodicos.sbu.unicamp.br/ojs/index.php/manuscrito/oaimwrigley@cle.unicamp.br|| dascal@spinoza.tau.ac.il||publicacoes@cle.unicamp.br2317-630X0100-6045opendoar:2022-05-20T17:49:56Manuscrito (Online) - Universidade Estadual de Campinas (UNICAMP)false
dc.title.none.fl_str_mv The rules-as types interpretations of Schröder-Heister's extension of natural deduction
title The rules-as types interpretations of Schröder-Heister's extension of natural deduction
spellingShingle The rules-as types interpretations of Schröder-Heister's extension of natural deduction
Haeusler , Edward Hermann
Dedução natural
Schröder-Heister
title_short The rules-as types interpretations of Schröder-Heister's extension of natural deduction
title_full The rules-as types interpretations of Schröder-Heister's extension of natural deduction
title_fullStr The rules-as types interpretations of Schröder-Heister's extension of natural deduction
title_full_unstemmed The rules-as types interpretations of Schröder-Heister's extension of natural deduction
title_sort The rules-as types interpretations of Schröder-Heister's extension of natural deduction
author Haeusler , Edward Hermann
author_facet Haeusler , Edward Hermann
Pereira , Luiz Carlos Pinheiro Dias
author_role author
author2 Pereira , Luiz Carlos Pinheiro Dias
author2_role author
dc.contributor.author.fl_str_mv Haeusler , Edward Hermann
Pereira , Luiz Carlos Pinheiro Dias
dc.subject.por.fl_str_mv Dedução natural
Schröder-Heister
topic Dedução natural
Schröder-Heister
description From this theorem we can conclude that any Cartesian Closed Category with finite co-products is a model λR. The addition of types of arbitrary levels does not interfere with the basic semantical intuitions. The enlarged expressive power of λR relies, for exemple, on the possibility of considering certain assumption formation processes as the specification of programming modules (as in MODULA- II (Wirth (1985))): the modules hide their implementations, but specify the interface (types of the premises, of the discharged hypothesis ando f the conclusion) that they ought to have with the world.
publishDate 1999
dc.date.none.fl_str_mv 1999-10-31
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Texto
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.sbu.unicamp.br/ojs/index.php/manuscrito/article/view/8666391
url https://periodicos.sbu.unicamp.br/ojs/index.php/manuscrito/article/view/8666391
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://periodicos.sbu.unicamp.br/ojs/index.php/manuscrito/article/view/8666391/28500
dc.rights.driver.fl_str_mv Copyright (c) 1999 https://creativecommons.org/licenses/by/4.0/
https://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 1999 https://creativecommons.org/licenses/by/4.0/
https://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.coverage.none.fl_str_mv Brasil; Contemporâneo
dc.publisher.none.fl_str_mv Universidade Estadual de Campinas
publisher.none.fl_str_mv Universidade Estadual de Campinas
dc.source.none.fl_str_mv Manuscrito: Revista Internacional de Filosofia; v. 22 n. 2 (1999): out.; 149-163
Manuscrito: International Journal of Philosophy; Vol. 22 No. 2 (1999): Oct.; 149-163
Manuscrito: Revista Internacional de Filosofía; Vol. 22 Núm. 2 (1999): out.; 149-163
2317-630X
reponame:Manuscrito (Online)
instname:Universidade Estadual de Campinas (UNICAMP)
instacron:UNICAMP
instname_str Universidade Estadual de Campinas (UNICAMP)
instacron_str UNICAMP
institution UNICAMP
reponame_str Manuscrito (Online)
collection Manuscrito (Online)
repository.name.fl_str_mv Manuscrito (Online) - Universidade Estadual de Campinas (UNICAMP)
repository.mail.fl_str_mv mwrigley@cle.unicamp.br|| dascal@spinoza.tau.ac.il||publicacoes@cle.unicamp.br
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