Finger Trees

Abstract

We implement and prove correct 2-3 finger trees. Finger trees are a general purpose data structure, that can be used to efficiently implement other data structures, such as priority queues. Intuitively, a finger tree is an annotated sequence, where the annotations are elements of a monoid. Apart from operations to access the ends of the sequence, the main operation is to split the sequence at the point where a monotone predicate over the sum of the left part of the sequence becomes true for the first time. The implementation follows the paper of Hintze and Paterson[1]. The code generator can be used to get efficient, verified code.

Cite this paper

@article{Nordhoff2010FingerT, title={Finger Trees}, author={Benedikt Nordhoff and Stefan K{\"{o}rner and Peter Lammich}, journal={Archive of Formal Proofs}, year={2010}, volume={2010} }