This example shows a Kotlin function greet that has a local function sayHello inside it. When greet is called with a name, it defines sayHello, which prints a greeting using the name parameter. Then greet calls sayHello, which prints "Hello, Alice!". After that, sayHello returns control to greet, and greet finishes. The local function can use variables from the outer function because it is nested inside it. However, sayHello cannot be called outside greet because it only exists inside greet's scope. This helps keep code organized and limits function visibility.