Compute the weakest preconditions of the following statements for the given postconditions. Assume all variables are integers. (a) a = 2*b + 1; b = a*a + 1; { a > 10 } (b) if (b > 0) a = 4*b - 10; else a = b + 172; { a > 0 }

Compute the weakest preconditions of the following statements for the given postconditions. Assume all variables are integers. (a) a = 2b + 1; b = aa + 1; { a > 10 } (b) if (b > 0) a = 4*b - 10; else a = b + 172; { a > 0 }

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter12: Points, Classes, Virtual Functions And Abstract Classes

Section: Chapter Questions

Problem 2SA

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Guessing the output

In computer programming languages, guessing the output means to predict the result of a given computer program. It can be predicted by solving the program manually or using trace tables.

Question

Compute the weakest preconditions of the following statements for the given postconditions. Assume all variables are integers.
(a)
a = 2*b + 1;
b = a*a + 1;
{ a > 10 }

(b)
if (b > 0)
a = 4*b - 10;
else
a = b + 172;
{ a > 0 }

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Step 2: (a) We want to find the weakest precondition such that after executing the code, a > 10.

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Step 3: (b) We want to find the weakest precondition such that after executing the code, a > 0.

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