ASAP? Please state Yes or No for following questions with proof: 1) A ≤ B and B is not decidable, then A is not decidable. 2) If A ≤p B and A is NP-Complete, then B is decidable 3) If A ≤ B and B is NP-Complete, then A is NP-Hard. 4) If A ≤ B and B is decidable, then A is acceptable. 5) If A ≤p B and B is in NP, then A is acceptable. 6) If A ≤p B and B is in NP, then A is in NP.

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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ASAP?

Please state Yes or No for following questions with proof:

1) A ≤ B and B is not decidable, then A is not decidable.

2) If A ≤p B and A is NP-Complete, then B is decidable

3) If A ≤ B and B is NP-Complete, then A is NP-Hard.

4) If A ≤ B and B is decidable, then A is acceptable.

5) If A ≤p B and B is in NP, then A is acceptable.

6) If A ≤p B and B is in NP, then A is in NP.

 

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