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Merkle-Ized AVL Tree

Definition

A Merkle-ized AVL tree is a self-balancing binary search tree structure augmented with Merkle hash properties. Each node in the AVL tree stores a cryptographic hash that is dependent on the hashes of its child nodes and its own data. This design allows for efficient verification of data integrity and membership proofs within the tree. The self-balancing aspect ensures logarithmic time complexity for insertions, deletions, and lookups.