On Strongly First-Order Dependencies

Por • 19 mar, 2014 • Sección: Ciencia y tecnología

Pietro Galliani

Abstract: We prove that the expressive power of first-order logic with team semantics plus contradictory negation does not rise beyond that of first-order logic (with respect to sentences), and that the totality atoms of arity k +1 are not definable in terms of the totality atoms of arity k. 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.

arXiv:1403.3698v1 [math.LO]

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