Internal program extraction in the calculus of inductive constructions
Resumen:
Based on the Calculus of Constructions extended with inductive definitions we present a Theory of Specifications with rules for simultaneously constructing programs and their correctness proofs. The theory contains types for representing specifications, whose corresponding notion of implementation is that of a pair formed by a program and a correctness proof. The rules of the theory are sych that in implementations the program parts appear mixed together with the proof parts. A reduction relation performs the task of separating programs from proofs. Consequently, every implementation computes to a pair composed of a program and a proof of its correctness, and so the program extraction procedure is immediate.
| 2002 | |
| CALCULUS OF CONSTRUCTIONS | |
| Universidad de la República | |
| COLIBRI | |
| http://hdl.handle.net/20.500.12008/3487 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución – No Comercial – Sin Derivadas (CC BY-NC-ND 4.0) |
| _version_ | 1807522943754829824 |
|---|---|
| author | Severi, Paula |
| author2 | Szasz, Nora |
| author2_role | author |
| author_facet | Severi, Paula Szasz, Nora |
| author_role | author |
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| collection | COLIBRI |
| dc.creator.none.fl_str_mv | Severi, Paula Szasz, Nora |
| dc.date.accessioned.none.fl_str_mv | 2014-12-02T16:06:51Z |
| dc.date.available.none.fl_str_mv | 2014-12-02T16:06:51Z |
| dc.date.issued.es.fl_str_mv | 2002 |
| dc.date.submitted.es.fl_str_mv | 20141202 |
| dc.description.abstract.none.fl_txt_mv | Based on the Calculus of Constructions extended with inductive definitions we present a Theory of Specifications with rules for simultaneously constructing programs and their correctness proofs. The theory contains types for representing specifications, whose corresponding notion of implementation is that of a pair formed by a program and a correctness proof. The rules of the theory are sych that in implementations the program parts appear mixed together with the proof parts. A reduction relation performs the task of separating programs from proofs. Consequently, every implementation computes to a pair composed of a program and a proof of its correctness, and so the program extraction procedure is immediate. |
| dc.format.extent.es.fl_str_mv | 14 p. |
| dc.format.mimetype.es.fl_str_mv | application/pdf |
| dc.identifier.citation.es.fl_str_mv | SEVERI, P., SZASZ, N. "Internal program extraction in the calculus of inductive constructions". Reportes Técnicos 02-15. UR. FI – INCO, 2002. |
| dc.identifier.issn.es.fl_str_mv | 0797-6410 |
| dc.identifier.uri.none.fl_str_mv | http://hdl.handle.net/20.500.12008/3487 |
| 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 02-15 |
| 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 | Internal program extraction in the calculus of inductive 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 | Based on the Calculus of Constructions extended with inductive definitions we present a Theory of Specifications with rules for simultaneously constructing programs and their correctness proofs. The theory contains types for representing specifications, whose corresponding notion of implementation is that of a pair formed by a program and a correctness proof. The rules of the theory are sych that in implementations the program parts appear mixed together with the proof parts. A reduction relation performs the task of separating programs from proofs. Consequently, every implementation computes to a pair composed of a program and a proof of its correctness, and so the program extraction procedure is immediate. |
| eu_rights_str_mv | openAccess |
| format | report |
| id | COLIBRI_9dccb82e4da9a62a3bfb48ca3a390dee |
| identifier_str_mv | SEVERI, P., SZASZ, N. "Internal program extraction in the calculus of inductive constructions". Reportes Técnicos 02-15. UR. FI – INCO, 2002. 0797-6410 |
| instacron_str | Universidad de la República |
| institution | Universidad de la República |
| instname_str | Universidad de la República |
| language_invalid_str_mv | in |
| network_acronym_str | COLIBRI |
| network_name_str | COLIBRI |
| oai_identifier_str | oai:colibri.udelar.edu.uy:20.500.12008/3487 |
| 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 | 2014-12-02T16:06:51Z2014-12-02T16:06:51Z200220141202SEVERI, P., SZASZ, N. "Internal program extraction in the calculus of inductive constructions". Reportes Técnicos 02-15. UR. FI – INCO, 2002.0797-6410http://hdl.handle.net/20.500.12008/3487Based on the Calculus of Constructions extended with inductive definitions we present a Theory of Specifications with rules for simultaneously constructing programs and their correctness proofs. The theory contains types for representing specifications, whose corresponding notion of implementation is that of a pair formed by a program and a correctness proof. The rules of the theory are sych that in implementations the program parts appear mixed together with the proof parts. A reduction relation performs the task of separating programs from proofs. Consequently, every implementation computes to a pair composed of a program and a proof of its correctness, and so the program extraction procedure is immediate.Made available in DSpace on 2014-12-02T16:06:51Z (GMT). No. of bitstreams: 5 TR0215.pdf: 226763 bytes, checksum: 299c154fef493edae3c76e7fbcdb672c (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: 200214 p.application/pdfinUR. FI – INCO.Reportes Técnicos 02-15Las 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)CALCULUS OF CONSTRUCTIONSInternal program extraction in the calculus of inductive constructionsReporte técnicoinfo:eu-repo/semantics/reportinfo:eu-repo/semantics/publishedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaSeveri, PaulaSzasz, 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- Universidad de la Repúblicafalse |
| spellingShingle | Internal program extraction in the calculus of inductive constructions Severi, Paula CALCULUS OF CONSTRUCTIONS |
| status_str | publishedVersion |
| title | Internal program extraction in the calculus of inductive constructions |
| title_full | Internal program extraction in the calculus of inductive constructions |
| title_fullStr | Internal program extraction in the calculus of inductive constructions |
| title_full_unstemmed | Internal program extraction in the calculus of inductive constructions |
| title_short | Internal program extraction in the calculus of inductive constructions |
| title_sort | Internal program extraction in the calculus of inductive constructions |
| topic | CALCULUS OF CONSTRUCTIONS |
| url | http://hdl.handle.net/20.500.12008/3487 |
