Titlebook: Dependence Logic; Theory and Applicati Samson Abramsky,Juha Kontinen,Heribert Vollmer Book 2016 Springer International Publishing Switzerla

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Introduction to Secret-Sharing,theory of secret-sharing is about; to point out its connections with the fundamental notions, dependence and independence, of dependence logic; and to indicate some of the results and open problems of this theory.

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Samson Abramsky,Juha Kontinen,Heribert VollmerCovers a relatively new area of logic, introduced by Väänänen, that has seen rapid development.Dependence logic has applications in numerous, seemingly unrelated subjects, including causality, random

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https://doi.org/10.1007/978-1-0716-2958-1the ideas of the paper have been subsequently reinvented but one concept, which we call G-dependence, is still genuinely new, and that is the main topic of this paper. We isolate some basic properties of G-dependence and pose the question of finding simple axioms for it.

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Daniel Beaudet,Adam G. Hendricks (with respect to sentences), and that the totality atoms of arity . + 1 are not definable in terms of the totality atoms of arity .. We furthermore prove that all first-order nullary and unary dependencies are strongly first-order, in the sense that they do not increase the expressive power of first-order logic if added to it.

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https://doi.org/10.1007/978-3-658-39006-8theory of secret-sharing is about; to point out its connections with the fundamental notions, dependence and independence, of dependence logic; and to indicate some of the results and open problems of this theory.

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