Repairing the interpolation theorem in Quantified Modal Logic - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue Annals of Pure and Applied Logic Année : 2003

Repairing the interpolation theorem in Quantified Modal Logic

Résumé

Quantified hybrid logic is quantified modal logic extended with apparatus for naming states and asserting that a formula is true at a named state. While interpolation and Beth's definability theorem fail in a number of well known quantified modal logics (for example in quantified modal K, T, D, S4, S4.3 and S5 with constant domains), their counterparts in quantified hybrid logic have these properties. These are special cases of the main result of the paper: the quantified hybrid logic of any class of frames definable in the bounded fragment of first-order logic has the interpolation property, irrespective of whether varying, constant, expanding, or contracting domains are assumed.

Domaines

Autre [cs.OH]

Dates et versions

inria-00099762 , version 1 (26-09-2006)

Identifiants

Citer

Carlos Areces, Patrick Blackburn, Maarten Marx. Repairing the interpolation theorem in Quantified Modal Logic. Annals of Pure and Applied Logic, 2003, 124 (1-2), pp.287-299. ⟨10.1016/S0168-0072(03)00059-9⟩. ⟨inria-00099762⟩
54 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More