On Strongly First-Order Dependencies
Por Camilo Arcaya • 19 mar, 2014 • Sección: Ciencia y tecnologíaPietro 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]
