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CSSE3100/7100 Reasoning About Programs - Semester One 2020- Final Exam - Q5 Dafny Method Single Loop

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QUESTION 5 CourseNana.COM

Derive a program that satises the specication of the Dafny method, C, where Power is dened as in Question 4. Your program should use a single loop and should not call method B from Question 4. CourseNana.COM

The lemma, L, provides a property of Power which may be useful in your derivation. If you use this property add a call to the lemma at the appropriate point in your derived program. There is no need to prove the lemma. CourseNana.COM

Show full working. CourseNana.COM

lemma L(n: nat)
ensures Power(2 * n) == Power(n) * Power(n)
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method C(N: int) returns (y: nat) requires 0 <= N CourseNana.COM

ensures y == Power(Power(N)) CourseNana.COM

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