Continuum many maximal consistent normal bimodal logics with inverses

The paper considers extensions of a normal bimodal logic KL in which the two necessity operators are mutual one-sided inverses. A continuum of maximal consistent normal extensions of KL is constructed, each of which has infinitely many quasi-normal Post complete extensions. Some syntactic properties...

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Detalles Bibliográficos
Autor Principal: Williamson, T
Outros autores: University of Notre Dame
Formato: Journal article
Idioma:English
Publicado: Duke University Press 1998
Subjects:
Descripción
Summary:The paper considers extensions of a normal bimodal logic KL in which the two necessity operators are mutual one-sided inverses. A continuum of maximal consistent normal extensions of KL is constructed, each of which has infinitely many quasi-normal Post complete extensions. Some syntactic properties of maximal consistent normal bimodal logics and in particular of such extentions of KL are investigated.