Relational Disjoint-Set Forests

 

Title: Relational Disjoint-Set Forests
Author: Walter Guttmann
Submission date: 2020-08-26
Abstract: We give a simple relation-algebraic semantics of read and write operations on associative arrays. The array operations seamlessly integrate with assignments in the Hoare-logic library. Using relation algebras and Kleene algebras we verify the correctness of an array-based implementation of disjoint-set forests with a naive union operation and a find operation with path compression.
BibTeX:
@article{Relational_Disjoint_Set_Forests-AFP,
  author  = {Walter Guttmann},
  title   = {Relational Disjoint-Set Forests},
  journal = {Archive of Formal Proofs},
  month   = aug,
  year    = 2020,
  note    = {\url{http://isa-afp.org/entries/Relational_Disjoint_Set_Forests.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License
Depends on: Aggregation_Algebras, Stone_Kleene_Relation_Algebras