Practice Test Questions:Prove each of the following statements, or give a counterexample:Best-first search is optimal in the case where we have a perfect heuristic (i.e., h(n) = h∗(n), the true cost to the closest goal state).Suppose there is a unique optimal solution. Then, A* search with a perfect heuristic will never expand nodes that are not in the path of the optimal solution.A* search with a heuristic which is admissible but not consistent is complete.

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Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Practice Test Questions:

Prove each of the following statements, or give a counterexample:

Best-first search is optimal in the case where we have a perfect heuristic (i.e., h(n) = h∗(n), the true cost to the closest goal state).
Suppose there is a unique optimal solution. Then, A* search with a perfect heuristic will never expand nodes that are not in the path of the optimal solution.
A* search with a heuristic which is admissible but not consistent is complete.

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