On Strongly First-Order Dependencies

Pietro Galliani

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arXiv · 1403.3698

On Strongly First-Order Dependencies

Pietro Galliani

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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.

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BibTeX RIS

Pietro Galliani. 2014-03-14. On Strongly First-Order Dependencies. https://arxiv.org/abs/1403.3698

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