Optimal Binary Search Trees

 

Title: Optimal Binary Search Trees
Authors: Tobias Nipkow and Dániel Somogyi
Submission date: 2018-05-27
Abstract: This article formalizes recursive algorithms for the construction of optimal binary search trees given fixed access frequencies. We follow Knuth (1971), Yao (1980) and Mehlhorn (1984). The algorithms are memoized with the help of the AFP article Monadification, Memoization and Dynamic Programming, thus yielding dynamic programming algorithms.
BibTeX:
@article{Optimal_BST-AFP,
  author  = {Tobias Nipkow and Dániel Somogyi},
  title   = {Optimal Binary Search Trees},
  journal = {Archive of Formal Proofs},
  month   = may,
  year    = 2018,
  note    = {\url{http://isa-afp.org/entries/Optimal_BST.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License
Depends on: Monad_Memo_DP