Abstract:Suppose Alice and Bob each start with private randomness and no other input, and they wish to engage in a protocol in which Alice ends up with a set
x
⊆ [
n
] and Bob ends up with a set
y
⊆ [
n
], such that (
x
,
y
) is uniformly distributed over all pairs of disjoint sets. We prove that for some constant β < 1, this requires Ω (
n
) communic… Show more
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