Elimination of algorithmic quantifiers for ordered differential algebra (Q1127836)

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scientific article; zbMATH DE number 1186293
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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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