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Zero-One Laws for Existential First-Order Sentences of Bounded Quantifier Depth

Zero-One Laws for Existential First-Order Sentences of Bounded Quantifier Depth

For any fixed positive integer k , let α k denote the smallest α ∈ (0,1) such that the random graph sequence { G ( n, n -α )} n does not satisfy the zero-one law for the set ε k of all existential first-order sentences that are of quantifier …