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A Verified Implementation of B+-Trees in Isabelle/HOL

In this paper we present the verification of an imperative implementation of the ubiquitous B+-tree data structure in the interactive theorem prover Isabelle/HOL. The implementation supports membership test, insertion and range queries with efficient binary search for intra-node navigation. The imperative implementation is verified in two steps: an abstract set interface is refined to an executable but inefficient purely functional implementation which is further refined to the efficient imperative implementation.

preprint2022arXivOpen access
Niels MündlerTobias Nipkow
Logic in Computer ScienceData Structures and Algorithms
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Niels MündlerTobias Nipkow

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