Halting Problem: P vs NP

This lecture explores the halting problem, demonstrating the undecidability of determining if a program halts when executed with itself as input. It delves into the complexity theory, discussing the class P for problems solvable in polynomial time, contrasting with the NP class for non-deterministic polynomial problems. The lecture also covers practical algorithms, complexity measurement, and examples of problems in P and NP. It concludes with a discussion on the Traveling Salesman and Knapsack problems, illustrating the challenges of finding optimal solutions within NP complexity.