Consider the following program which is partially correct given the postcondition is x + y <= N. x, y := 0, 0; while (x != 0 || y!= N) invariant x >= 0 && y <= N { if x !- 0{ x:= x - 1; } else { х, у:- х+1, y+1; }

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Consider the following program which is partially correct given the postcondition is x+ y<= N.
х, у :3D 0, 0;
while (x != 0|| y != N )
invariant x >- 0 && y <= N
{
if x != 0 {
X:= X - 1;
} else {
х, у :3 х+1, у+1;
}
}
If we are only interested in proving partial correctness, what is the weakest invariant we could use for the loop?
O
A. x >= 0 & y <= N
O B. x >= 0
O C.y<= N
O D. true
Transcribed Image Text:Consider the following program which is partially correct given the postcondition is x+ y<= N. х, у :3D 0, 0; while (x != 0|| y != N ) invariant x >- 0 && y <= N { if x != 0 { X:= X - 1; } else { х, у :3 х+1, у+1; } } If we are only interested in proving partial correctness, what is the weakest invariant we could use for the loop? O A. x >= 0 & y <= N O B. x >= 0 O C.y<= N O D. true
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