An operational approach to program extraction in the Calculus of Constructions

Fernández, Maribel - Severi, Paula

Resumen:

The Theory of Specifications is an extension of the Calculus of Constructions where the specification of a problem, the derivation of a program, and its correctness proof, can all be done within the same formalism. An operational semantics describes the process of extracting a program from a proof its specification. This has several advantages: from the user's point of view, it simplifies the task of developing correct programs, since it is sufficient to know just one system in order to be able to specify, develop and prove the correction of a program; from the implementation point of view, the fact that extraction procedure is part of the system. In this paper we continue the study of the Theory of Specificiations and propose a solution to restore subject reduction and strong normalization. Counterexamples for subject reduction and strong normalization for this theory have been shownin [RS02].


Detalles Bibliográficos
2002
CALCULUS OF CONSTRUCTIONS
Universidad de la República
COLIBRI
http://hdl.handle.net/20.500.12008/3482
Acceso abierto
Licencia Creative Commons Atribución – No Comercial – Sin Derivadas (CC BY-NC-ND 4.0)
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author Fernández, Maribel
author2 Severi, Paula
author2_role author
author_facet Fernández, Maribel
Severi, Paula
author_role author
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collection COLIBRI
dc.creator.none.fl_str_mv Fernández, Maribel
Severi, Paula
dc.date.accessioned.none.fl_str_mv 2014-12-02T16:06:43Z
dc.date.available.none.fl_str_mv 2014-12-02T16:06:43Z
dc.date.issued.es.fl_str_mv 2002
dc.date.submitted.es.fl_str_mv 20141202
dc.description.abstract.none.fl_txt_mv The Theory of Specifications is an extension of the Calculus of Constructions where the specification of a problem, the derivation of a program, and its correctness proof, can all be done within the same formalism. An operational semantics describes the process of extracting a program from a proof its specification. This has several advantages: from the user's point of view, it simplifies the task of developing correct programs, since it is sufficient to know just one system in order to be able to specify, develop and prove the correction of a program; from the implementation point of view, the fact that extraction procedure is part of the system. In this paper we continue the study of the Theory of Specificiations and propose a solution to restore subject reduction and strong normalization. Counterexamples for subject reduction and strong normalization for this theory have been shownin [RS02].
dc.format.extent.es.fl_str_mv 15 p.
dc.format.mimetype.es.fl_str_mv application/pdf
dc.identifier.citation.es.fl_str_mv FERNÁNDEZ, M., SEVERI, P. "An operational approach to program extraction in the Calculus of Constructions". Reportes Técnicos 02-16. UR. FI – INCO, 2002.
dc.identifier.issn.es.fl_str_mv 0797-6410
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/20.500.12008/3482
dc.language.iso.none.fl_str_mv in
dc.publisher.es.fl_str_mv UR. FI – INCO.
dc.relation.ispartof.es.fl_str_mv Reportes Técnicos 02-16
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 CALCULUS OF CONSTRUCTIONS
dc.title.none.fl_str_mv An operational approach to program extraction in the Calculus of Constructions
dc.type.es.fl_str_mv Reporte técnico
dc.type.none.fl_str_mv info:eu-repo/semantics/report
dc.type.version.none.fl_str_mv info:eu-repo/semantics/publishedVersion
description The Theory of Specifications is an extension of the Calculus of Constructions where the specification of a problem, the derivation of a program, and its correctness proof, can all be done within the same formalism. An operational semantics describes the process of extracting a program from a proof its specification. This has several advantages: from the user's point of view, it simplifies the task of developing correct programs, since it is sufficient to know just one system in order to be able to specify, develop and prove the correction of a program; from the implementation point of view, the fact that extraction procedure is part of the system. In this paper we continue the study of the Theory of Specificiations and propose a solution to restore subject reduction and strong normalization. Counterexamples for subject reduction and strong normalization for this theory have been shownin [RS02].
eu_rights_str_mv openAccess
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identifier_str_mv FERNÁNDEZ, M., SEVERI, P. "An operational approach to program extraction in the Calculus of Constructions". Reportes Técnicos 02-16. UR. FI – INCO, 2002.
0797-6410
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institution Universidad de la República
instname_str Universidad de la República
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publishDate 2002
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 2014-12-02T16:06:43Z2014-12-02T16:06:43Z200220141202FERNÁNDEZ, M., SEVERI, P. "An operational approach to program extraction in the Calculus of Constructions". Reportes Técnicos 02-16. UR. FI – INCO, 2002.0797-6410http://hdl.handle.net/20.500.12008/3482The Theory of Specifications is an extension of the Calculus of Constructions where the specification of a problem, the derivation of a program, and its correctness proof, can all be done within the same formalism. An operational semantics describes the process of extracting a program from a proof its specification. This has several advantages: from the user's point of view, it simplifies the task of developing correct programs, since it is sufficient to know just one system in order to be able to specify, develop and prove the correction of a program; from the implementation point of view, the fact that extraction procedure is part of the system. In this paper we continue the study of the Theory of Specificiations and propose a solution to restore subject reduction and strong normalization. Counterexamples for subject reduction and strong normalization for this theory have been shownin [RS02].Made available in DSpace on 2014-12-02T16:06:43Z (GMT). No. of bitstreams: 5 TR0216.pdf: 244199 bytes, checksum: 685733b015f6eca6d9910f3727d456f6 (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: 200215 p.application/pdfinUR. FI – INCO.Reportes Técnicos 02-16Las 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. 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spellingShingle An operational approach to program extraction in the Calculus of Constructions
Fernández, Maribel
CALCULUS OF CONSTRUCTIONS
status_str publishedVersion
title An operational approach to program extraction in the Calculus of Constructions
title_full An operational approach to program extraction in the Calculus of Constructions
title_fullStr An operational approach to program extraction in the Calculus of Constructions
title_full_unstemmed An operational approach to program extraction in the Calculus of Constructions
title_short An operational approach to program extraction in the Calculus of Constructions
title_sort An operational approach to program extraction in the Calculus of Constructions
topic CALCULUS OF CONSTRUCTIONS
url http://hdl.handle.net/20.500.12008/3482