Reasoning about static and dynamic properties in alloy: A purely relational approach

We study a number of restrictions associated with the first-order relational specification language Alloy. The main shortcomings we address are: -the lack of a complete calculus for deduction in Alloy's underlying formalism, the so called relational logic, -the inappropriateness of the Alloy la...

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Detalles Bibliográficos
Autores principales: Frias, Marcelo, López Pombo, Carlos Gustavo
Publicado: 2005
Materias:
Alloy
Fork algebras
Relational specifications
Automatic analysis
Dynamic logic
Abstracting
Algebra
Automation
Formal logic
Logic design
Problem solving
Computer programming languages
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1049331X_v14_n4_p478_Frias
http://hdl.handle.net/20.500.12110/paper_1049331X_v14_n4_p478_Frias
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_1049331X_v14_n4_p478_Frias
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spelling paper:paper_1049331X_v14_n4_p478_Frias2023-06-08T16:01:21Z Reasoning about static and dynamic properties in alloy: A purely relational approach Frias, Marcelo López Pombo, Carlos Gustavo Alloy Fork algebras Relational specifications Automatic analysis Dynamic logic Fork algebras Relational specifications Abstracting Algebra Automation Formal logic Logic design Problem solving Computer programming languages We study a number of restrictions associated with the first-order relational specification language Alloy. The main shortcomings we address are: -the lack of a complete calculus for deduction in Alloy's underlying formalism, the so called relational logic, -the inappropriateness of the Alloy language for describing (and analyzing) properties regarding execution traces. The first of these points was not regarded as an important issue during the genesis of Alloy, and therefore has not been taken into account in the design of the relational logic. The second point is a consequence of the static nature of Alloy specifications, and has been partly solved by the developers of Alloy; however, their proposed solution requires a complicated and unstructured characterization of executions. We propose to overcome the first problem by translating relational logic to the equational calculus of fork algebras. Fork algebras provide a purely relational formalism close to Alloy, which possesses a complete equational deductive calculus. Regarding the second problem, we propose to extend Alloy by adding actions. These actions, unlike Alloy functions, do modify the state. Much the same as programs in dynamic logic, actions can be sequentially composed and iterated, allowing them to state properties of execution traces at an appropriate level of abstraction. Since automatic analysis is one of Alloy's main features, and this article aims to provide a deductive calculus for Alloy, we show that: -the extension hereby proposed does not sacrifice the possibility of using SAT solving techniques for automated analysis, -the complete calculus for the relational logic is straightforwardly extended to a complete calculus for the extension of Alloy. © 2005 ACM. Fil:Frias, M.F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:López Pombo, C.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2005 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1049331X_v14_n4_p478_Frias http://hdl.handle.net/20.500.12110/paper_1049331X_v14_n4_p478_Frias
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Alloy
Fork algebras
Relational specifications
Automatic analysis
Dynamic logic
Fork algebras
Relational specifications
Abstracting
Algebra
Automation
Formal logic
Logic design
Problem solving
Computer programming languages
spellingShingle Alloy
Fork algebras
Relational specifications
Automatic analysis
Dynamic logic
Fork algebras
Relational specifications
Abstracting
Algebra
Automation
Formal logic
Logic design
Problem solving
Computer programming languages
Frias, Marcelo
López Pombo, Carlos Gustavo
Reasoning about static and dynamic properties in alloy: A purely relational approach
topic_facet Alloy
Fork algebras
Relational specifications
Automatic analysis
Dynamic logic
Fork algebras
Relational specifications
Abstracting
Algebra
Automation
Formal logic
Logic design
Problem solving
Computer programming languages
description We study a number of restrictions associated with the first-order relational specification language Alloy. The main shortcomings we address are: -the lack of a complete calculus for deduction in Alloy's underlying formalism, the so called relational logic, -the inappropriateness of the Alloy language for describing (and analyzing) properties regarding execution traces. The first of these points was not regarded as an important issue during the genesis of Alloy, and therefore has not been taken into account in the design of the relational logic. The second point is a consequence of the static nature of Alloy specifications, and has been partly solved by the developers of Alloy; however, their proposed solution requires a complicated and unstructured characterization of executions. We propose to overcome the first problem by translating relational logic to the equational calculus of fork algebras. Fork algebras provide a purely relational formalism close to Alloy, which possesses a complete equational deductive calculus. Regarding the second problem, we propose to extend Alloy by adding actions. These actions, unlike Alloy functions, do modify the state. Much the same as programs in dynamic logic, actions can be sequentially composed and iterated, allowing them to state properties of execution traces at an appropriate level of abstraction. Since automatic analysis is one of Alloy's main features, and this article aims to provide a deductive calculus for Alloy, we show that: -the extension hereby proposed does not sacrifice the possibility of using SAT solving techniques for automated analysis, -the complete calculus for the relational logic is straightforwardly extended to a complete calculus for the extension of Alloy. © 2005 ACM.
author Frias, Marcelo
López Pombo, Carlos Gustavo
author_facet Frias, Marcelo
López Pombo, Carlos Gustavo
author_sort Frias, Marcelo
title Reasoning about static and dynamic properties in alloy: A purely relational approach
title_short Reasoning about static and dynamic properties in alloy: A purely relational approach
title_full Reasoning about static and dynamic properties in alloy: A purely relational approach
title_fullStr Reasoning about static and dynamic properties in alloy: A purely relational approach
title_full_unstemmed Reasoning about static and dynamic properties in alloy: A purely relational approach
title_sort reasoning about static and dynamic properties in alloy: a purely relational approach
publishDate 2005
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1049331X_v14_n4_p478_Frias
http://hdl.handle.net/20.500.12110/paper_1049331X_v14_n4_p478_Frias
work_keys_str_mv AT friasmarcelo reasoningaboutstaticanddynamicpropertiesinalloyapurelyrelationalapproach
AT lopezpombocarlosgustavo reasoningaboutstaticanddynamicpropertiesinalloyapurelyrelationalapproach
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