Quantifiers and congruence closure (Q1300006)
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scientific article; zbMATH DE number 1332865
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quantifiers and congruence closure |
scientific article; zbMATH DE number 1332865 |
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Quantifiers and congruence closure (English)
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25 October 2000
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The authors investigate the expressive power of quantifiers on finite structures. They introduce the notion of bounded quantifiers and show that each relativizing quantifier which is bounded is first-order definable. They define meager quantifiers and show that no proper extension of first-order logic by means of meager quantifiers is weakly congruence-closed. They investigate the full congruence closure property and show that it fails in proper extensions of first-order logics by means of meager quantifiers, monadic quantifiers, and the Härtig quantifier.
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generalized quantifier
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expressive power of quantifiers on finite structures
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bounded quantifiers
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relativizing quantifier
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meager quantifiers
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congruence closure property
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monadic quantifiers
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Härtig quantifier
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0.89488834
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0.8772925
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0.8738297
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