Zero-one laws for random graphs with vertices in a Boolean cube |
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Authors: | S. N. Popova |
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Affiliation: | 1.Lomonosov Moscow State University,Moscow,Russia |
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Abstract: | We study the limit probabilities of first-order properties for random graphs with vertices in a Boolean cube. We find sufficient conditions for a sequence of random graphs to obey the zero-one law for first-order formulas of bounded quantifier depth. We also find conditions implying a weakened version of the zero-one law. |
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