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Quantifier alternation in a class of recursively defined tree properties

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 نشر من قبل Moumanti Podder
 تاريخ النشر 2019
  مجال البحث
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 تأليف Moumanti Podder




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Alternating quantifier depth is a natural measure of difficulty required to express first order logical sentences. We define a sequence of first order properties on rooted, locally finite trees in a recursive manner, and provide rigorous arguments for finding the alternating quantifier depth of each property in the sequence, using Ehrenfeucht-Fra{i}ss{e} games.

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