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On the decidability boundary of the infinite symmetric group - MaRDI portal

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On the decidability boundary of the infinite symmetric group (Q2736206)

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scientific article; zbMATH DE number 1638442
Language Label Description Also known as
English
On the decidability boundary of the infinite symmetric group
scientific article; zbMATH DE number 1638442

    Statements

    29 August 2001
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    infinite symmetric groups
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    decidable theories
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    first order theories
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    positive theories
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    On the decidability boundary of the infinite symmetric group (English)
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    The author proves decidability of the positive \(\exists\forall\)-theory of any infinite symmetric group (that is, the intersection of the first order theory of the group with the set of sentences of the form \(\exists x\forall y \phi\), where \(\phi\) is a positive quantifier-free formula).
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