Question

8. Prove A* is admissible. Hint: the proof should show that: a. A* search will terminate. b. During its execution there is always a node on open that lies on an optimal path to the goal. c. If there is a path to a goal, A* will terminate by finding the optimal path.

          8. Prove A* is admissible. Hint: the proof should show that:
a. A* search will terminate.
b. During its execution there is always a node on open that lies on an optimal path to
the goal.
c. If there is a path to a goal, A* will terminate by finding the optimal path.

8. Prove A* is admissible. Hint: the proof should show that:
a. A* search will terminate.
b. During its execution there is always a node on open that lies on an optimal path to
the goal.
c. If there is a path to a goal, A* will terminate by finding the optimal path.

Added by Alexander G.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Sophia Furfine

Step 1

A* search will terminate: A* search will terminate because it explores the search space in a systematic manner. It starts from the initial node and expands nodes based on their estimated cost to the goal. Since the search space is finite and the algorithm Show more…

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Prove A* is admissible. Hint: The proof should show that a. A* search will terminate b. During its execution, there is always a node on open that lies on an optimal path to the goal. c. If there is a path to a goal, A* will terminate by finding the optimal path. MAX Do 3 G H 5 4 K OL 5 7 8 M 0 ON 7 Figure 4.30