Definability hierarchies of generalized quantifiers (Q1824614)
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scientific article; zbMATH DE number 4118349
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Definability hierarchies of generalized quantifiers |
scientific article; zbMATH DE number 4118349 |
Statements
Definability hierarchies of generalized quantifiers (English)
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1989
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The author develops a general framework for proving that a quantifier is not definable in terms of n-ary quantifiers. He shows in particular that many logics existing in the literature can express a hierarchy \(Q_ 1,Q_ 2,..\). of such irreducible quantifiers. Back-and-forth techniques are applied to study the interpolation problems of certain cardinality logics.
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definability
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back-and-forth
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Lindström quantifier
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abstract logic
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generalized quantifier
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irreducible quantifiers
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interpolation
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cardinality logics
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