The Hierarchy Theorem for Second Order Generalized Quantifiers

Journal of Symbolic Logic 71 (1):188 - 202 (2006)
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Abstract

We study definability of second order generalized quantifiers on finite structures. Our main result says that for every second order type t there exists a second order generalized quantifier of type t which is not definable in the extension of second order logic by all second order generalized quantifiers of types lower than t

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10.2178/jsl/1140641168

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Citations of this work

Dependence Logic with a Majority Quantifier.Arnaud Durand, Johannes Ebbing, Juha Kontinen & Heribert Vollmer - 2015 - Journal of Logic, Language and Information 24 (3):289-305.

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References found in this work

On second-order generalized quantifiers and finite structures.Anders Andersson - 2002 - Annals of Pure and Applied Logic 115 (1--3):1--32.
Definability of second order generalized quantifiers.Juha Kontinen - 2010 - Archive for Mathematical Logic 49 (3):379-398.

Add more references