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We give the first data structure for the problem of maintaining a dynamic setof n elements drawn from a partially ordered universe described by a tree. Wedefine the Line-Leaf Tree, a linear-sized data structure that supports theoperations: insert; delete; test membership; and predecessor. The performanceof our data structure is within an O(log w)-factor of optimal. Here w <= n isthe width of the partial-order---a natural obstacle in searching a partialorder.

Searching in Dynamic Tree-Like Partial Orders