Exercise 8 (Multiple Choice). Let X beinductively defined as the smallest set offinite number lists (taken from N*) satisfyingthe following closure properties:Given any natural number n from N, theset X contains the one-element list [n].Given anyX, the set Xalso contains the list[x1,x2,x3,..,Xn,y] where the additionalelement y is the product x1 × x2 × X3 × ·…list [x1,x2,x3,...,Xn] already in.........•..x Xn-Which of the following lists is NOT in X?[1,1,1,1,1][2,4,16,256](c) [3,3,9,81](d) [4,4,16,256]

[1,1,1,1] This is in X. We know that we have [1] in X From that we know we have [1,1] in X, because…

Exercise 8 (Multiple Choice). Let X be inductively defined as the smallest set of finite number lists (taken from N*) satisfying the following closure properties: Given any natural number n from N, the set X contains the one-element list [n]. Given any list [x1,x2,x3,..,Xŋ] already in X, the set Xalso contains the list [X1,x2,X3,...,Xy] where the additional element y is the product x1 × x2 × X3 × …* .... ... x Xn- Which of the following lists is NOT in X? [1,1,1,1,1] [2,4,16,256] (c) [3,3,9,81] (d) [4,4,16,256]

Exercise 8 (Multiple Choice). Let X be inductively defined as the smallest set of finite number lists (taken from N) satisfying the following closure properties: Given any natural number n from N, the set X contains the one-element list [n]. Given any list [x1,x2,x3,..,Xŋ] already in X, the set Xalso contains the list [X1,x2,X3,...,Xy] where the additional element y is the product x1 × x2 × X3 × … .... ... x Xn- Which of the following lists is NOT in X? [1,1,1,1,1] [2,4,16,256] (c) [3,3,9,81] (d) [4,4,16,256]

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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