Abstract
This theory provides a verified implementation of weight-balanced
trees following the work of Hirai
and Yamamoto who proved that all parameters in a certain
range are valid, i.e. guarantee that insertion and deletion preserve
weight-balance. Instead of a general theorem we provide parameterized
proofs of preservation of the invariant that work for many (all?)
valid parameters.
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Related publications
- HIRAI, Y., & YAMAMOTO, K. (2011). Balancing weight-balanced trees. Journal of Functional Programming, 21(3), 287–307. https://doi.org/10.1017/s0956796811000104
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