Elimination of algorithmic quantifiers for ordered differential algebra (Q1127836)
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scientific article; zbMATH DE number 1186293
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Elimination of algorithmic quantifiers for ordered differential algebra |
scientific article; zbMATH DE number 1186293 |
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Elimination of algorithmic quantifiers for ordered differential algebra (English)
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10 August 1998
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F. M. Singer proved that the theory of ordered differential fields ODF has a model completion, i.e., the theory of closed ordered differential fields, CODF. As a result, CODF admits elimination of quantifiers. In this paper we give an algorithm to eliminate the quantifiers of CODF-formulas in finitely many steps.
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model theory
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quantifier elimination
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algorithm
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ordered differential algebra
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closed ordered differential fields
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