An AVL tree is a binary tree for which a special condition holds throughout the tree, namely, that at every node the height of the left and right subtrees differ by at most 1. A binary tree can be defined in terms of 2 predicates:empty, the empty binary treebt(N,T1,T2) that is true if N is the root of a binary tree with left subtree T1 and right subtree T2, where all the items in T1 are less than or equal to N and all the items in T2 are greater than N.You have already covered AVL tress in your Data Structures module, but here is a brief recap.Write a PROLOG program that implements the following predicates for an AVL tree:insert(I,T1,T2) is true if T2 is the AVL tree resulting from I being inserted into an AVL tree T1.display(T) is always true prints the AVL tree to the display.

Introduction to binary tree It is defined as a tree data structure in which each node has at most…

Answered: An AVL tree is a binary tree for which…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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An AVL tree is a binary tree for which a special condition holds throughout the tree, namely, that at every node the height of the left and right subtrees differ by at most 1. A binary tree can be defined in terms of 2 predicates:

empty, the empty binary tree
bt(N,T1,T2) that is true if N is the root of a binary tree with left subtree T1 and right subtree T2, where all the items in T1 are less than or equal to N and all the items in T2 are greater than N.

You have already covered AVL tress in your Data Structures module, but here is a brief recap.

Write a PROLOG program that implements the following predicates for an AVL tree:

insert(I,T1,T2) is true if T2 is the AVL tree resulting from I being inserted into an AVL tree T1.
display(T) is always true prints the AVL tree to the display.

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