On the formal semantics of IF-like logics

• Autores: Figueira, S.; Gorín, D.; Grimson, R.
• Año de publicación: 2010
• Idioma: inglés
• Tipo de recurso: artículo
• Fuente: J. Comput. Syst. Sci. 2010;76(5):333-346
• Materia: Compositional semantics; Flattening operator; Full abstraction; Independence friendly logic; Regular formulas; Signaling; Valuation; Bound variables; Classical logic; Compositional semantics; Flattening operator; Formal Semantics; Full abstraction; Abstracting; Formal methods; Game theory; Signaling; Semantics
• Institución: Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales

In classical logics, the meaning of a formula is invariant with respect to the renaming of bound variables. This property, normally taken for granted, has been shown not to hold in the case of Independence Friendly (IF) logics. In this paper we argue that this is not an inherent characteristic of these logics but a defect in the way in which the compositional semantics given by Hodges for the regular fragment was generalized to arbitrary formulas. We fix this by proposing an alternative formalization, based on a variation of the classical notion of valuation. Basic metatheoretical results are proven. We present these results for Hodges' slash logic (from which these can be easily transferred to other IF-like logics) and we also consider the flattening operator, for which we give novel game-theoretical semantics. © 2009 Elsevier Inc. All rights reserved.
Fil:Figueira, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fil:Gorín, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.