On Feb 25, 2010, at 7:22 AM, Yaron Minsky wrote:

> 
> The use of the prefix tree is described in the two articles Set
> Reconciliation with Nearly Optimal Communication Complexity and
> Practical Set Reconciliation.  You will find them on the Google code
> pageĀ¹.  The mathematics are quite involved though.  It is the
> information that is needed for two servers to know what keys they need
> to exchange.
> 
> Indeed.  The data structure is called a prefix-tree in the paper (hence 
> PTree).  Basically, it's a binary tree that holds a special kind of checksum 
> for different subsets of the keyspace, dividing the space of keys up as you 
> go down the tree.  
> 

The partition tree in section 4 of "Practical Set Reconciliation"? That looks
like what you are describing.

Thanks!

73 de Jeff


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