Recursion: Understanding Recursive Functions

This lecture introduces the concept of recursion through a series of examples, starting with a simple recursive function. It explores the relationship between fixpoints of real functions and the least fixpoint in recursion theory. The lecture also covers the meaning of recursion in procedures, modular reasoning for recursive functions, and checking specifications. Additionally, it delves into multiple procedures, focusing on functions operating on pairs of relations and the implications of least fixedpoints. The content emphasizes understanding recursive functions and their applications in various contexts.