Question

Verify the program segment

If\({\bf{x > y}}\)then

\({\bf{x}}: = {\bf{y}}\)with respect to the initial assertion\({\bf{T}}\)and the final assertion\({\bf{x}} \le {\bf{y}}\).

\(\)

Short answer

\({\rm{x}} \le {\rm{y}}\)is a true final assertion.

Step-by-step solution

Definition of assertion

Assertion is defined as the precise, unambiguous, mathematical statement to the effect that something is true (examples, that some relation between mathematical objects holds; that some object has some property; etc).

Solution[a1]  [a1]Define what is being determined

It is correct with respect to the initial assertion\(T\)and the final assertion\({\rm{x}} \le {\rm{y}}\)

If\({\rm{x > y}}\)then\({\rm{x: = y}}\)is executed.

If\({\rm{x}} \le {\rm{y}}\)then\({\rm{x: = y}}\)is not executed.

Either\(x\)or\(y\)is not assigned any value in which case it cannot determine the maximum value.

Thus,\({\rm{x}} \le {\rm{y}}\)is again a true final assertion.[a1]

[a1]Explain in detail