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math.PR2019
Zero-one laws for existential first order sentences of bounded quantifier depth
Moumanti Podder, Maksim Zhukovskii
For any fixed positive integer , let denote the smallest such that the random graph sequence does not satisfy the z…
math.LO2019
Quantifier alternation in a class of recursively defined tree properties
Moumanti Podder
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…