The Hardness of Median in the Synchronized Bit Communication Model
نویسنده
چکیده
The synchronized bit communication model, defined recently by Impagliazzo and Williams in [1], is a communication model which allows the participants to share a common clock. The main open problem posed in this paper was the following: does the synchronized bit model allow a logarithmic speed-up for all functions over the standard deterministic model of communication? We resolve this question in the negative by showing that the Median function, whose communication complexity is O(log n), does not admit polytime synchronized bit protocol with communication complexity O (
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