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← Logic & PuzzlesA compiler uses induction to verify that a function correctly computes factorials. Which step validates the function's correctness for a simple, fixed input?
A)Establishing a recursive relationship's complexity
B)Demonstrating the base case's correctness✓
C)Proving asymptotic upper bound
D)Assuming hypothesis holds true for all n
💡 Explanation
The base case validation confirms the function operates correctly for the initial value (e.g., factorial of 0 or 1) by directly calculating the result and comparing it to the expected value. This demonstrates the base case's correctness, because it is the fundamental step of mathematical induction; therefore, it must be verified, rather than assuming the inductive hypothesis or analyzing complexity.
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