The principles of mathematics revisited
The principles of mathematics revisited
Independent Choices and the Interpretation of IF Logic
Journal of Logic, Language and Information
Structures in Logic and Computer Science, A Selection of Essays in Honor of Andrzej Ehrenfeucht
On the expressive power of IF-logic with classical negation
WoLLIC'11 Proceedings of the 18th international conference on Logic, language, information and computation
Semantic annotation of digital music
Journal of Computer and System Sciences
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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.