Complete calculi for structured specifications in fork algebra

In previous articles we presented Arg entum, a tool for reasoning across heterogeneous specifications based on the language of fork algebras. Arg entum's foundations were formalized in the framework of institutions. The formalization made simple to describe a methodology capable of producing a...

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Autores principales: López Pombo, Carlos Gustavo, Frias, Marcelo
Publicado: 2010
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03029743_v6255LNCS_n_p290_LopezPombo
http://hdl.handle.net/20.500.12110/paper_03029743_v6255LNCS_n_p290_LopezPombo
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spelling paper:paper_03029743_v6255LNCS_n_p290_LopezPombo2023-06-08T15:28:36Z Complete calculi for structured specifications in fork algebra López Pombo, Carlos Gustavo Frias, Marcelo Complete system Logical language Partial views Structured specification Transitive closure Biomineralization Calculations Specifications Algebra In previous articles we presented Arg entum, a tool for reasoning across heterogeneous specifications based on the language of fork algebras. Arg entum's foundations were formalized in the framework of institutions. The formalization made simple to describe a methodology capable of producing a complete system desription from partial views, eventually written in different logical languages. Structured specifications were introduced by Sannella and Tarlecki and extensively studied by Borzyszkowski. The latter also presented conditions under which the calculus for structured specifications is complete. Using fork algebras as a "universal" institution capable of representing expressive logics (such as dynamic and temporal logics), requires using a fork language that includes a reflexive-transitive closure operator. The calculus thus obtained does not meet the conditions required by Borzyszkowski. In this article we present structure building operators (SBOs) over fork algebras, and provide a complete calculus for these operators. © 2010 Springer-Verlag. Fil:Lopez Pombo, C.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Frias, M.F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2010 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03029743_v6255LNCS_n_p290_LopezPombo http://hdl.handle.net/20.500.12110/paper_03029743_v6255LNCS_n_p290_LopezPombo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Complete system
Logical language
Partial views
Structured specification
Transitive closure
Biomineralization
Calculations
Specifications
Algebra
spellingShingle Complete system
Logical language
Partial views
Structured specification
Transitive closure
Biomineralization
Calculations
Specifications
Algebra
López Pombo, Carlos Gustavo
Frias, Marcelo
Complete calculi for structured specifications in fork algebra
topic_facet Complete system
Logical language
Partial views
Structured specification
Transitive closure
Biomineralization
Calculations
Specifications
Algebra
description In previous articles we presented Arg entum, a tool for reasoning across heterogeneous specifications based on the language of fork algebras. Arg entum's foundations were formalized in the framework of institutions. The formalization made simple to describe a methodology capable of producing a complete system desription from partial views, eventually written in different logical languages. Structured specifications were introduced by Sannella and Tarlecki and extensively studied by Borzyszkowski. The latter also presented conditions under which the calculus for structured specifications is complete. Using fork algebras as a "universal" institution capable of representing expressive logics (such as dynamic and temporal logics), requires using a fork language that includes a reflexive-transitive closure operator. The calculus thus obtained does not meet the conditions required by Borzyszkowski. In this article we present structure building operators (SBOs) over fork algebras, and provide a complete calculus for these operators. © 2010 Springer-Verlag.
author López Pombo, Carlos Gustavo
Frias, Marcelo
author_facet López Pombo, Carlos Gustavo
Frias, Marcelo
author_sort López Pombo, Carlos Gustavo
title Complete calculi for structured specifications in fork algebra
title_short Complete calculi for structured specifications in fork algebra
title_full Complete calculi for structured specifications in fork algebra
title_fullStr Complete calculi for structured specifications in fork algebra
title_full_unstemmed Complete calculi for structured specifications in fork algebra
title_sort complete calculi for structured specifications in fork algebra
publishDate 2010
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03029743_v6255LNCS_n_p290_LopezPombo
http://hdl.handle.net/20.500.12110/paper_03029743_v6255LNCS_n_p290_LopezPombo
work_keys_str_mv AT lopezpombocarlosgustavo completecalculiforstructuredspecificationsinforkalgebra
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