Binary Heaps for IMP2

 

Title: Binary Heaps for IMP2
Author: Simon Griebel
Submission date: 2019-06-13
Abstract: In this submission array-based binary minimum heaps are formalized. The correctness of the following heap operations is proved: insert, get-min, delete-min and make-heap. These are then used to verify an in-place heapsort. The formalization is based on IMP2, an imperative program verification framework implemented in Isabelle/HOL. The verified heap functions are iterative versions of the partly recursive functions found in "Algorithms and Data Structures – The Basic Toolbox" by K. Mehlhorn and P. Sanders and "Introduction to Algorithms" by T. H. Cormen, C. E. Leiserson, R. L. Rivest and C. Stein.
BibTeX:
@article{IMP2_Binary_Heap-AFP,
  author  = {Simon Griebel},
  title   = {Binary Heaps for IMP2},
  journal = {Archive of Formal Proofs},
  month   = jun,
  year    = 2019,
  note    = {\url{http://isa-afp.org/entries/IMP2_Binary_Heap.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License
Depends on: IMP2