Skip Lists

 

Title: Skip Lists
Authors: Max W. Haslbeck and Manuel Eberl
Submission date: 2020-01-09
Abstract:

Skip lists are sorted linked lists enhanced with shortcuts and are an alternative to binary search trees. A skip lists consists of multiple levels of sorted linked lists where a list on level n is a subsequence of the list on level n − 1. In the ideal case, elements are skipped in such a way that a lookup in a skip lists takes O(log n) time. In a randomised skip list the skipped elements are choosen randomly.

This entry contains formalized proofs of the textbook results about the expected height and the expected length of a search path in a randomised skip list.

BibTeX:
@article{Skip_Lists-AFP,
  author  = {Max W. Haslbeck and Manuel Eberl},
  title   = {Skip Lists},
  journal = {Archive of Formal Proofs},
  month   = jan,
  year    = 2020,
  note    = {\url{http://isa-afp.org/entries/Skip_Lists.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License
Depends on: Monad_Normalisation