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arXiv · 1902.05533

Quantifier alternation in a class of recursively defined tree properties

Moumanti Podder
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Abstract

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-Fraïssé games.

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Moumanti Podder. 2019-02-14. Quantifier alternation in a class of recursively defined tree properties. https://arxiv.org/abs/1902.05533

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