Course-of-values recursion in Martin-Löf's type theory

Peratto, Patricia

Resumen:

To facilitate reasoning about programs in Martin Löf’s Type Theory, the introduction general recursion operators has been studied. This allow a more conventional programming style, being possible to separte the termination proof of the program from the proof of other properties. This work experiments with this idea studying Course-of-Values induction for Natural Numbers. An introduction rule is derived from natural induction, obtaining an expression for a recursion operator. A propositional equality that expresses the behavior of the obtained operator is proved. This equality will be usefull when proving properties of programs. ALF is used as editor of Martin Löf’s monomorphic Set Theory and checker of all the proofs.


Detalles Bibliográficos
1991
Teoria de tipos
Logical frameworks
Alf
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/25864
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
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author Peratto, Patricia
author_facet Peratto, Patricia
author_role author
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collection COLIBRI
dc.contributor.filiacion.none.fl_str_mv Peratto Patricia, Universidad de la República (Uruguay). Facultad de Ingeniería.
dc.creator.none.fl_str_mv Peratto, Patricia
dc.date.accessioned.none.fl_str_mv 2020-11-12T18:43:29Z
dc.date.available.none.fl_str_mv 2020-11-12T18:43:29Z
dc.date.issued.none.fl_str_mv 1991
dc.description.abstract.none.fl_txt_mv To facilitate reasoning about programs in Martin Löf’s Type Theory, the introduction general recursion operators has been studied. This allow a more conventional programming style, being possible to separte the termination proof of the program from the proof of other properties. This work experiments with this idea studying Course-of-Values induction for Natural Numbers. An introduction rule is derived from natural induction, obtaining an expression for a recursion operator. A propositional equality that expresses the behavior of the obtained operator is proved. This equality will be usefull when proving properties of programs. ALF is used as editor of Martin Löf’s monomorphic Set Theory and checker of all the proofs.
dc.description.es.fl_txt_mv Technical Report INCO-91-04
dc.format.extent.es.fl_str_mv 38 p.
dc.format.mimetype.es.fl_str_mv application/pdf
dc.identifier.citation.es.fl_str_mv Peratto, P. Course-of-values recursion in Martin-Löf's type theory [en línea]. Tesis de maestría. Montevideo : Udelar. FI. INCO - PEDECIBA, 1991.
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12008/25864
dc.language.iso.none.fl_str_mv en
eng
dc.publisher.es.fl_str_mv Udelar.FI.
dc.rights.license.none.fl_str_mv Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
dc.source.none.fl_str_mv reponame:COLIBRI
instname:Universidad de la República
instacron:Universidad de la República
dc.subject.es.fl_str_mv Teoria de tipos
Logical frameworks
Alf
dc.title.none.fl_str_mv Course-of-values recursion in Martin-Löf's type theory
dc.type.es.fl_str_mv Tesis de maestría
dc.type.none.fl_str_mv info:eu-repo/semantics/masterThesis
dc.type.version.none.fl_str_mv info:eu-repo/semantics/acceptedVersion
description Technical Report INCO-91-04
eu_rights_str_mv openAccess
format masterThesis
id COLIBRI_84c6dc700bd401a567f00aa19a8555f7
identifier_str_mv Peratto, P. Course-of-values recursion in Martin-Löf's type theory [en línea]. Tesis de maestría. Montevideo : Udelar. FI. INCO - PEDECIBA, 1991.
instacron_str Universidad de la República
institution Universidad de la República
instname_str Universidad de la República
language eng
language_invalid_str_mv en
network_acronym_str COLIBRI
network_name_str COLIBRI
oai_identifier_str oai:colibri.udelar.edu.uy:20.500.12008/25864
publishDate 1991
reponame_str COLIBRI
repository.mail.fl_str_mv mabel.seroubian@seciu.edu.uy
repository.name.fl_str_mv COLIBRI - Universidad de la República
repository_id_str 4771
rights_invalid_str_mv Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
spelling Peratto Patricia, Universidad de la República (Uruguay). Facultad de Ingeniería.2020-11-12T18:43:29Z2020-11-12T18:43:29Z1991Peratto, P. Course-of-values recursion in Martin-Löf's type theory [en línea]. Tesis de maestría. Montevideo : Udelar. FI. INCO - PEDECIBA, 1991.https://hdl.handle.net/20.500.12008/25864Technical Report INCO-91-04To facilitate reasoning about programs in Martin Löf’s Type Theory, the introduction general recursion operators has been studied. This allow a more conventional programming style, being possible to separte the termination proof of the program from the proof of other properties. This work experiments with this idea studying Course-of-Values induction for Natural Numbers. An introduction rule is derived from natural induction, obtaining an expression for a recursion operator. A propositional equality that expresses the behavior of the obtained operator is proved. This equality will be usefull when proving properties of programs. ALF is used as editor of Martin Löf’s monomorphic Set Theory and checker of all the proofs.Submitted by Machado Jimena (jmachado@fing.edu.uy) on 2020-11-12T16:24:54Z No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) PER91.pdf: 19932305 bytes, checksum: d133752d2826a3b25c36931e7eb67ecb (MD5)Approved for entry into archive by Machado Jimena (jmachado@fing.edu.uy) on 2020-11-12T17:52:14Z (GMT) No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) PER91.pdf: 19932305 bytes, checksum: d133752d2826a3b25c36931e7eb67ecb (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@fic.edu.uy) on 2020-11-12T18:43:29Z (GMT). No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) PER91.pdf: 19932305 bytes, checksum: d133752d2826a3b25c36931e7eb67ecb (MD5) Previous issue date: 199138 p.application/pdfenengUdelar.FI.Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)Teoria de tiposLogical frameworksAlfCourse-of-values recursion in Martin-Löf's type theoryTesis de maestríainfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/acceptedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaPeratto, PatriciaUniversidad de la República (Uruguay). 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- Universidad de la Repúblicafalse
spellingShingle Course-of-values recursion in Martin-Löf's type theory
Peratto, Patricia
Teoria de tipos
Logical frameworks
Alf
status_str acceptedVersion
title Course-of-values recursion in Martin-Löf's type theory
title_full Course-of-values recursion in Martin-Löf's type theory
title_fullStr Course-of-values recursion in Martin-Löf's type theory
title_full_unstemmed Course-of-values recursion in Martin-Löf's type theory
title_short Course-of-values recursion in Martin-Löf's type theory
title_sort Course-of-values recursion in Martin-Löf's type theory
topic Teoria de tipos
Logical frameworks
Alf
url https://hdl.handle.net/20.500.12008/25864

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