Answered: (define (power n) (if (zero? n) (* 2…

(define (power n) (if (zero? n) (* 2 (power (-n 1))))) (define (tower m) (if (= m 0) 1 (power (tower (- m 1)) ))) .2 Prove that (tower m) is a "tower of powers" 22 of height m for m > 0.

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

Consider the following Scheme definitions:
(define (power n)
(if (zero? n)
(* 2 (power (-n 1)))))
(define (tower m)
(if (= m 0) 1
(power (tower (- m 1)))))
.2
Prove that (tower m) is a "tower of powers" 22 of height m for m > 0.

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