Some model theory for monotone quantifiers |
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Authors: | J A Makowsky S Tulipani |
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Institution: | (1) II. Mathematisches Institut der Freien Universität Berlin and Istituto matematico Ulisse Dini, Florence;(2) Istituto matematico Ulisse Dini, Florence |
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Abstract: | A generalization of the existential and universal quantifier, the monotone quantifiers, are studied. It is shown that the model theory for monotone quantifiers behaves very much like classical model theory. Completeness theorems, definability theorems and preservation theorems are given. Ultraproducts, reduced products and Back and Forth arguments are studied.This work is part of the research program of the G.N.S.A.G. group of the Italian C.N.R. |
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Keywords: | Model theory generalized quantifiers |
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