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Please answer thr following parts in depth with full detail.   Part (a): Suppose that a heuristic h satisfies h(t) = 0, where t is any goal state. Prove that if h is consistent, then it must be admissible.   Part (b): Suppose that h,hare heuristics such that h dominates h. Show that if h is admissible, then so is h; does the same claim hold for consistent heuristics? I.e. if h is consistent and dominates a heuristic h, is hconsistent as well? Prove or provide a counterexample.

Please answer thr following parts in depth with full detail.   Part (a): Suppose that a heuristic h satisfies h(t) = 0, where t is any goal state. Prove that if h is consistent, then it must be admissible.   Part (b): Suppose that h,hare heuristics such that h dominates h. Show that if h is admissible, then so is h; does the same claim hold for consistent heuristics? I.e. if h is consistent and dominates a heuristic h, is hconsistent as well? Prove or provide a counterexample.

Database System Concepts
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
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Please answer thr following parts in depth with full detail.

 

Part (a):

Suppose that a heuristic h satisfies h(t) = 0, where t is any goal state. Prove that if h is consistent, then it must be admissible.

 

Part (b):

Suppose that h,hare heuristics such that h dominates h. Show that if h is admissible, then so is h; does the same claim hold for consistent heuristics? I.e. if h is consistent and dominates a heuristic h, is hconsistent as well? Prove or provide a counterexample.

 

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