The hierarchy theorem for second order generalized quantifiers
Kontinen, Juha
J. Symbolic Logic, Tome 71 (2006) no. 1, p. 188-202 / Harvested from Project Euclid
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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.
Publié le : 2006-03-14
Classification:  03C80,  03C13,  03C85 
@article{1140641168,
     author = {Kontinen, Juha},
     title = {The hierarchy theorem for second order generalized quantifiers},
     journal = {J. Symbolic Logic},
     volume = {71},
     number = {1},
     year = {2006},
     pages = { 188-202},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1140641168}
}

Kontinen, Juha. The hierarchy theorem for second order generalized quantifiers. J. Symbolic Logic, Tome 71 (2006) no. 1, pp.  188-202. http://gdmltest.u-ga.fr/item/1140641168/