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CSSE3100/7100 Reasoning About Programs - Semester One 2020- Final Exam - Q3 Weakest precondition Reasoning

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QUESTION 3 CourseNana.COM

Use weakest precondition reasoning to determine whether or not the following Dafny method is correct. Show full working. CourseNana.COM

method A(x: int, y: int) returns (r: int) CourseNana.COM

requires 0 <= x && 0 <= y ensures r == x * y CourseNana.COM

{
if x == 0 {
CourseNana.COM

r := 0; } else { CourseNana.COM

var z;
z := A(x - 1, y); r := z + y;
CourseNana.COM

} } CourseNana.COM

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