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A Tight Bound for EMAC - CWI

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Proof (of Claim). Consider any i ∈P,andletS denote the common suffix of Mi<br />

and Mj. Now,asi ∈P,<strong>for</strong>someP we can write Mj = P M ′ j S and Mi = P S.<br />

Let p = |P |/n and s = |S|/n.<br />

Consider any G ∈Gi,j, by definition V mi<br />

i<br />

V mj−s<br />

j<br />

mj<br />

= Vj , which implies V mi−s<br />

i =<br />

as the last s blocks are equal. And as the first p blocks are equal we<br />

have V p p<br />

p mi−s<br />

i = Vj .NowVi = Vi and thus also V p mj−s<br />

j = Vj ,asp

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