A machine assisted proof of the subject reduction property for small typed functional language. Master Thesis

Bove, Ana

Resumen:

We present an experiment in formally describing a programming language and its properties in constructive type theory. By constructive type theory we understand primarily the formulation of Martin Löf's set theory. Constructive type theory can also be seen as a programming language where we write types, and objects of these types can be view as funtional programming environments of proof assistants. The language we analyze is a small typed functional language. We present its syntax, its dynamic semanctics and its type system. Among other properties, we present a formalization pf the Subject Reduction property for the language. The proof assistant we use is ALF.


Detalles Bibliográficos
1995
PROGRAMACION FUNCIONAL
ALF
TEORIA DE TIPOS
TYPE THEORY
FUNCTIONAL PROGRAMMING
Inglés
Universidad de la República
COLIBRI
http://hdl.handle.net/20.500.12008/2912
Acceso abierto
Licencia Creative Commons Atribución – No Comercial – Sin Derivadas (CC BY-NC-ND 4.0)
_version_ 1807523179967545344
author Bove, Ana
author_facet Bove, Ana
author_role author
bitstream.checksum.fl_str_mv 528b6a3c8c7d0c6e28129d576e989607
9833653f73f7853880c94a6fead477b1
4afdbb8c545fd630ea7db775da747b2f
9da0b6dfac957114c6a7714714b86306
56b12348d1f5c902928b6a4da218d9ed
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
MD5
MD5
bitstream.url.fl_str_mv http://localhost:8080/xmlui/bitstream/20.500.12008/2912/5/license.txt
http://localhost:8080/xmlui/bitstream/20.500.12008/2912/2/license_text
http://localhost:8080/xmlui/bitstream/20.500.12008/2912/3/license_url
http://localhost:8080/xmlui/bitstream/20.500.12008/2912/4/license_rdf
http://localhost:8080/xmlui/bitstream/20.500.12008/2912/1/tesis-bove.pdf
collection COLIBRI
dc.creator.none.fl_str_mv Bove, Ana
dc.date.accessioned.none.fl_str_mv 2014-11-24T22:35:28Z
dc.date.available.none.fl_str_mv 2014-11-24T22:35:28Z
dc.date.issued.es.fl_str_mv 1995
dc.date.submitted.es.fl_str_mv 20141202
dc.description.abstract.none.fl_txt_mv We present an experiment in formally describing a programming language and its properties in constructive type theory. By constructive type theory we understand primarily the formulation of Martin Löf's set theory. Constructive type theory can also be seen as a programming language where we write types, and objects of these types can be view as funtional programming environments of proof assistants. The language we analyze is a small typed functional language. We present its syntax, its dynamic semanctics and its type system. Among other properties, we present a formalization pf the Subject Reduction property for the language. The proof assistant we use is ALF.
dc.format.extent.es.fl_str_mv 49 p.
dc.format.mimetype.es.fl_str_mv application/pdf
dc.identifier.citation.es.fl_str_mv BOVE, A. "A machine assisted proof of the subject reduction property for small typed functional language. Master Thesis". Tesis de maestría, Universidad de la República (Uruguay). Facultad de Ingeniería. Instituto de Computación – PEDECIBA, 1995.
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/20.500.12008/2912
dc.language.iso.none.fl_str_mv en
eng
dc.publisher.es.fl_str_mv UR. FI-INCO,
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 PROGRAMACION FUNCIONAL
ALF
TEORIA DE TIPOS
TYPE THEORY
FUNCTIONAL PROGRAMMING
dc.title.none.fl_str_mv A machine assisted proof of the subject reduction property for small typed functional language. Master Thesis
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 We present an experiment in formally describing a programming language and its properties in constructive type theory. By constructive type theory we understand primarily the formulation of Martin Löf's set theory. Constructive type theory can also be seen as a programming language where we write types, and objects of these types can be view as funtional programming environments of proof assistants. The language we analyze is a small typed functional language. We present its syntax, its dynamic semanctics and its type system. Among other properties, we present a formalization pf the Subject Reduction property for the language. The proof assistant we use is ALF.
eu_rights_str_mv openAccess
format masterThesis
id COLIBRI_dc5c26561c72a9e885baee41ea2a98cd
identifier_str_mv BOVE, A. "A machine assisted proof of the subject reduction property for small typed functional language. Master Thesis". Tesis de maestría, Universidad de la República (Uruguay). Facultad de Ingeniería. Instituto de Computación – PEDECIBA, 1995.
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:20.500.12008/2912
publishDate 1995
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 2014-11-24T22:35:28Z2014-11-24T22:35:28Z199520141202BOVE, A. "A machine assisted proof of the subject reduction property for small typed functional language. Master Thesis". Tesis de maestría, Universidad de la República (Uruguay). Facultad de Ingeniería. Instituto de Computación – PEDECIBA, 1995.http://hdl.handle.net/20.500.12008/2912We present an experiment in formally describing a programming language and its properties in constructive type theory. By constructive type theory we understand primarily the formulation of Martin Löf's set theory. Constructive type theory can also be seen as a programming language where we write types, and objects of these types can be view as funtional programming environments of proof assistants. The language we analyze is a small typed functional language. We present its syntax, its dynamic semanctics and its type system. Among other properties, we present a formalization pf the Subject Reduction property for the language. The proof assistant we use is ALF.Made available in DSpace on 2014-11-24T22:35:28Z (GMT). No. of bitstreams: 5 tesis-bove.pdf: 301424 bytes, checksum: 56b12348d1f5c902928b6a4da218d9ed (MD5) license_text: 21936 bytes, checksum: 9833653f73f7853880c94a6fead477b1 (MD5) license_url: 49 bytes, checksum: 4afdbb8c545fd630ea7db775da747b2f (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) license.txt: 4244 bytes, checksum: 528b6a3c8c7d0c6e28129d576e989607 (MD5) Previous issue date: 199549 p.application/pdfenengUR. FI-INCO,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)PROGRAMACION FUNCIONALALFTEORIA DE TIPOSTYPE THEORYFUNCTIONAL PROGRAMMINGA machine assisted proof of the subject reduction property for small typed functional language. Master ThesisTesis de maestríainfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/acceptedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaBove, AnaUniversidad de la República (Uruguay). Facultad de Ingeniería. Instituto de Computación – PEDECIBAMagíster en InformáticaLICENSElicense.txttext/plain4244http://localhost:8080/xmlui/bitstream/20.500.12008/2912/5/license.txt528b6a3c8c7d0c6e28129d576e989607MD55CC-LICENSElicense_textapplication/octet-stream21936http://localhost:8080/xmlui/bitstream/20.500.12008/2912/2/license_text9833653f73f7853880c94a6fead477b1MD52license_urlapplication/octet-stream49http://localhost:8080/xmlui/bitstream/20.500.12008/2912/3/license_url4afdbb8c545fd630ea7db775da747b2fMD53license_rdfapplication/octet-stream23148http://localhost:8080/xmlui/bitstream/20.500.12008/2912/4/license_rdf9da0b6dfac957114c6a7714714b86306MD54ORIGINALtesis-bove.pdfapplication/pdf301424http://localhost:8080/xmlui/bitstream/20.500.12008/2912/1/tesis-bove.pdf56b12348d1f5c902928b6a4da218d9edMD5120.500.12008/29122014-11-24 20:35:28.314oai:colibri.udelar.edu.uy:20.500.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Universidadhttps://udelar.edu.uy/https://www.colibri.udelar.edu.uy/oai/requestmabel.seroubian@seciu.edu.uyUruguayopendoar:47712024-07-25T14:44:20.071396COLIBRI - Universidad de la Repúblicafalse
spellingShingle A machine assisted proof of the subject reduction property for small typed functional language. Master Thesis
Bove, Ana
PROGRAMACION FUNCIONAL
ALF
TEORIA DE TIPOS
TYPE THEORY
FUNCTIONAL PROGRAMMING
status_str acceptedVersion
title A machine assisted proof of the subject reduction property for small typed functional language. Master Thesis
title_full A machine assisted proof of the subject reduction property for small typed functional language. Master Thesis
title_fullStr A machine assisted proof of the subject reduction property for small typed functional language. Master Thesis
title_full_unstemmed A machine assisted proof of the subject reduction property for small typed functional language. Master Thesis
title_short A machine assisted proof of the subject reduction property for small typed functional language. Master Thesis
title_sort A machine assisted proof of the subject reduction property for small typed functional language. Master Thesis
topic PROGRAMACION FUNCIONAL
ALF
TEORIA DE TIPOS
TYPE THEORY
FUNCTIONAL PROGRAMMING
url http://hdl.handle.net/20.500.12008/2912