Assume P(x,y) is (x+y>4). Write a function/method that can validate the nested quantifier by P(x,y) for elements from two arrays X and Y. hint: The method returns I if statement is valid (the sum of all pairs of values from X and Y is greater than 4), and returns 0 otherwise. Valid case: For arrays X=(2,3,4} and Y=(3,4,5), the method returns 1(since xEX and by, EY, x+y;>4) Invalid case: For arrays X=(2,3,4) and Y={1,4,5), the method returns 0 (since 2 EX and 1 EY but 2+1<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
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i.
Assume P(x,y) is (x+y>4). Write a function/method that can validate the nested
quantifier xvy P(x, y) for elements from two arrays X and Y.
hint:
The method returns I if statement is valid (the sum of all pairs of values from X and Y is greater than 4),
and returns 0 otherwise.
Valid case: For arrays X=(2,3,4) and Y=(3,4,5), the method returns 1(since xEX and vyjEY, x₁+₁>4)
Invalid case: For arrays X=(2,3,4} and Y=(1,4,5), the method returns 0 (since 2 EX and 1 EY but 2+1<4)
ii.
Modify your code to validate nested quantifier x3yP(x, y) when P(x,y) is (x+y=9)
hint:
Valid case: For X=(2,3,4} and Y={1,4,5) method returns 1 (since 4 EX and 5 EY and 4+5=9)
Invalid case: For X=(2,3,4} and Y={1,4,4} method returns 0 (since none of the pairs of values from X
and Y adds up to 9)
Transcribed Image Text:i. Assume P(x,y) is (x+y>4). Write a function/method that can validate the nested quantifier xvy P(x, y) for elements from two arrays X and Y. hint: The method returns I if statement is valid (the sum of all pairs of values from X and Y is greater than 4), and returns 0 otherwise. Valid case: For arrays X=(2,3,4) and Y=(3,4,5), the method returns 1(since xEX and vyjEY, x₁+₁>4) Invalid case: For arrays X=(2,3,4} and Y=(1,4,5), the method returns 0 (since 2 EX and 1 EY but 2+1<4) ii. Modify your code to validate nested quantifier x3yP(x, y) when P(x,y) is (x+y=9) hint: Valid case: For X=(2,3,4} and Y={1,4,5) method returns 1 (since 4 EX and 5 EY and 4+5=9) Invalid case: For X=(2,3,4} and Y={1,4,4} method returns 0 (since none of the pairs of values from X and Y adds up to 9)
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