Axiomatic Proof Prove the following program for integer division (x/y): {x2:0 ^ y> 0} q:= 0; r:= x; while: y r ^ x= r + y* q}

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Prove the axiomatic program as described below:

• Axiomatic Proof
Prove the following program for integer division (x/y):
:{x> 0 ^ y> 0}
q := 0;
r:= x;
while y <r do
begin
r :=r- y;
q := q + 1;
end
{y>r^ X= r+ y* q}
Transcribed Image Text:• Axiomatic Proof Prove the following program for integer division (x/y): :{x> 0 ^ y> 0} q := 0; r:= x; while y <r do begin r :=r- y; q := q + 1; end {y>r^ X= r+ y* q}
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