The Complexity of Random Ordered Structures
نویسندگان
چکیده
We show that for random bit strings, Up(n), with probability, p = 12 , the firstorder quantifier depth D(Up(n)) needed to distinguish non-isomorphic structures is Θ(lg lg n), with high probability. Further, we show that, with high probability, for random ordered graphs, G≤,p(n) with edge probabiltiy p = 12 , D(G≤,p(n)) = Θ(log∗ n), contrasting with the results of random (non-ordered) graphs, Gp(n), by Kim et al. [5] of D(Gp(n)) = log1/p n +O(lg lg n).
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عنوان ژورنال:
- Ann. Pure Appl. Logic
دوره 152 شماره
صفحات -
تاریخ انتشار 2006