When are prime formulae characteristic?

In the setting of the modal logic that characterizes modal refinement over modal transition systems, Boudol and Larsen showed that the formulae for which model checking can be reduced to preorder checking, that is, the characteristic formulae, are exactly the consistent and prime ones. This paper pr...

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Detalles Bibliográficos
Autores: Aceto, Luca, Della Monica, Dario, Fábregas, Ignacio, Ingólfsdóttir, Anna, Fábregas Alfaro, Ignacio
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/98254
Acceso en línea:https://hdl.handle.net/20.500.14352/98254
Access Level:acceso abierto
Palabra clave:Informática (Informática)
1203.17 Informática
Descripción
Sumario:In the setting of the modal logic that characterizes modal refinement over modal transition systems, Boudol and Larsen showed that the formulae for which model checking can be reduced to preorder checking, that is, the characteristic formulae, are exactly the consistent and prime ones. This paper presents general, sufficient conditions guaranteeing that characteristic formulae are exactly the consistent and prime ones. It is shown that the given conditions apply to various behavioural relations in the literature. In particular, characteristic formulae are exactly the prime and consistent ones for all the semantics in van Glabbeek’s linear time-branching time spectrum.