Give an inductive definition of the function nodecount(t) which computes the number of internal nodes in the binary tree t, where binary trees are defined inductively by the BNF equation t = | N(t, t) Use this function to verify that nodecount(N(N(+, N(+, +)), N(+, )) = 4.

Give an inductive definition of the function nodecount(t) which computes the number of internal nodes in the binary tree t, where binary trees are defined inductively by the BNF equation t = | N(t, t) Use this function to verify that nodecount(N(N(+, N(+, +)), N(+, )) = 4.

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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Question

Give an inductive definition of the function nodecount(t) which computes the number of internal nodes in
the binary tree t, where binary trees are defined inductively by the BNF equation
t := *| N(t, t)
Use this function to verify that nodecount(N(N(+, N(+,+), N(+, *)) = 4.

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