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.
Citation
Juha Kontinen. "The hierarchy theorem for second order generalized quantifiers." J. Symbolic Logic 71 (1) 188 - 202, March 2006. https://doi.org/10.2178/jsl/1140641168
Information
