Real addition and the polynomial hierarchy (Q1063589)

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scientific article; zbMATH DE number 3918354
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Real addition and the polynomial hierarchy
scientific article; zbMATH DE number 3918354

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    Real addition and the polynomial hierarchy (English)
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    1985
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    It is shown that the problem of deciding the truth of a sentence of the first-order theory of real numbers with addition and order given in prenex form with k-1 quantifier alternations is log-complete for the kth level of the polynomial hierarchy, i.e. \(\Sigma^ p_ k\).
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    log-complete
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