In the last lecture we considered the problem of finding the predecessor in its static version. We also introduced the idea of communication complexity and message elimination to prove lower bounds.
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[2] Mikkel Thorup,et al. Time-space trade-offs for predecessor search , 2006, STOC '06.
[3] Mikkel Thorup,et al. Tight(er) worst-case bounds on dynamic searching and priority queues , 2000, STOC '00.