Relational Disjoint-Set Forests

Walter Guttmann

26 August 2020


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.
BSD License

Change history

[2021-06-19] added path halving, path splitting, relational Peano structures, union by rank (revision 98c7aa03457d)

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