a) Prove the assignment segment given below to its pre-condition and post-condition using Hoare triple method. (t >- 5) void main () int f,g,2 2- 2t- 8: g- 2 21 f- 2g - 5: If >- 3) b) Identify the weakest pre-condition for the following decision that can guarantee the post- condition to be true. (?) integer m, n if (m > n) y-8/y+ 1 else y - 3 y y 29) c) 1. Find the loop invariant for the program code below. void main () int y - 1, x - 0: while (x < 4) y- y a X - X 1i

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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QUESTION 7
a) Prove the assignment segment given below to its pre-condition and post-condition using
Hoare triple method.
(t >- 5)
void main ()
int f,g,2;
2 - 2.t - 8;
g - 2. z:
f- 2g - 5;
{f > 3)
b) Identify the weakest pre-condition for the following decision that can guarantee the post-
condition to be true.
{ ? }
integer m, n
if (m > n)
y - 8/y+ 1
else
y - 3 y
t y 29 )
c)
i. Find the loop invariant for the program code below.
void main ()
int y - 1, x - 0;
while (x < 4)
y - y z;
x - x+ l;
Transcribed Image Text:QUESTION 7 a) Prove the assignment segment given below to its pre-condition and post-condition using Hoare triple method. (t >- 5) void main () int f,g,2; 2 - 2.t - 8; g - 2. z: f- 2g - 5; {f > 3) b) Identify the weakest pre-condition for the following decision that can guarantee the post- condition to be true. { ? } integer m, n if (m > n) y - 8/y+ 1 else y - 3 y t y 29 ) c) i. Find the loop invariant for the program code below. void main () int y - 1, x - 0; while (x < 4) y - y z; x - x+ l;
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