Strong Induction

Strong induction is a mathematical proof technique used to establish the truth of an infinite number of statements, particularly those involving integers. It starts by proving that a base case is true. Then, it assumes that the statement holds for all cases up to a certain point and uses this assumption to prove it for the next case. This method is particularly useful when the statement for the next case depends on multiple previous cases, not just the immediate prior one. Strong induction is widely used in various fields, including computer science, to demonstrate algorithms or structures' properties.