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This lecture covers search algorithms, focusing on abductive reasoning and heuristic search strategies. It discusses the concepts of search without costs, search with costs, and computational time. The instructor explains the importance of monotonicity in deduction, logical inferences, and the resolution of problems through search algorithms. The lecture also delves into the application of algorithms in diagnostic processes, problem-solving, and optimization. Various search algorithms such as Depth-First Search (DFS), Breadth-First Search (BFS), and A* are explored, along with their complexities and optimizations.