VibraXX
Live Quiz Arena
🎁 1 Free Round Daily
⚡ Enter Arena
HomeCategoriesLogic & PuzzlesQuestion
Question
Logic & Puzzles

A 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.

🏆 Up to £1,000 monthly prize pool

Ready for the live challenge? Join the next global round now.
*Terms apply. Skill-based competition.

⚡ Enter Arena

Related Questions

Browse Logic & Puzzles