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Computer Science
Posted 9 months ago
Tell me the concept of Induction proof
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Answer from Sia
Posted 9 months ago
Induction proof is a fundamental concept in computer science and mathematics used to prove statements about natural numbers. It consists of two main steps: the base case and the inductive step.
Concept of Induction Proof
Base Case: Prove that the statement holds for the initial value, usually n=0n = 0 or n=1n = 1
Inductive Step: Assume the statement holds for some arbitrary natural number kk. Then, prove that the statement holds for k+1k + 1
Conclusion: By proving the base case and the inductive step, you conclude that the statement holds for all natural numbers
This method is particularly useful for proving properties of algorithms, data structures, and other constructs in computer science.

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