A Tight Bound for EMAC - CWI
A Tight Bound for EMAC - CWI
A Tight Bound for EMAC - CWI
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
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