CSSE3100/7100 Reasoning About Programs - Semester One 2021- Final Exam - Q1 Weakest Precondition Proof
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Question 1 [8 marks]
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Provide a weakest precondition proof to show that the Dafny method, A, is correct.
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method A(x: int, y: int, n: int) returns (r: int) requires n > 0 && x >= 0 && y >= 0 ensures 0 <= r <= n
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{
if x + y < n {
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r := n - y; } else {
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r := B(x, y, n);
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r := n - r; }
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}
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method B(x: int, y: int, n: int) returns (r: int) requires n > 0 && x >= 0 && y >= 0 ensures r == (x + y) % n
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