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On Strongly First-Order Dependencies

In: Dependence Logic

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  • Pietro Galliani

    (University of Sussex, School of Engineering and Informatics)

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.

Suggested Citation

  • Pietro Galliani, 2016. "On Strongly First-Order Dependencies," Springer Books, in: Samson Abramsky & Juha Kontinen & Jouko Väänänen & Heribert Vollmer (ed.), Dependence Logic, pages 53-71, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-31803-5_4
    DOI: 10.1007/978-3-319-31803-5_4
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