A Simple Logic of Functional Dependence

Journal of Philosophical Logic 50 (5):939-1005 (2021)
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Abstract

This paper presents a simple decidable logic of functional dependence LFD, based on an extension of classical propositional logic with dependence atoms plus dependence quantifiers treated as modalities, within the setting of generalized assignment semantics for first order logic. The expressive strength, complete proof calculus and meta-properties of LFD are explored. Various language extensions are presented as well, up to undecidable modal-style logics for independence and dynamic logics of changing dependence models. Finally, more concrete settings for dependence are discussed: continuous dependence in topological models, linear dependence in vector spaces, and temporal dependence in dynamical systems and games.

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Author Profiles

Alexandru Baltag
University of Amsterdam
Johan Van Benthem
University of Amsterdam

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Logical Dynamics of Information and Interaction.Johan van Benthem - 2011 - New York: Cambridge University Press.

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