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The MkTreap functor

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Overview

functor MkTreap (structure Key : HASHKEY) :> BST where Key = Key

Implements the BST signature with treaps. Keys are hashed in order to generated pseudo-random priorities.

BST Cost Specifications

The following costs assume that the work and span of Key.compare and Key.hash are constant.

Work Span
expose T
size T
empty ()
singleton (k,v)
O(1) O(1)
join (A,B)
joinMid (A,(k,v),B)
O(log(|A|+|B|)) O(log(|A|+|B|))
split (T,k) O(log|T|) O(log|T|)

The costs of join and split are with high probability.