Answer only question 15 In each of the following construct a derivation in CEL of the conclusion from the premises.6. {(Vx)(Vy)[(FXAGY) Ɔ Hxy], (3x)(3y)[FxA¬Fy)^¬HXY]}1.. (3x)(¬Fx ¬Gx)8. {(x)(Fx ɔ ¬Gx), (Vx)(Fx A Hx)}/. (3x)¬Gx11. -(Vx)¬Fx/ :. (Ex)Fx15. (3x)[Fx ɔ (3y)Gy]/ .. (Vx)Fx ɔ (3x)GxBonus (1): Problem 16 (you may use quantifier negation)Bonus (2): Prove that the predicate "=" is a transitive relation.

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15. (3x)[Fx ɔ (3y)Gy]/ .. (Vx)Fx ɔ (3x)Gx

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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Question

Answer only question 15

In each of the following construct a derivation in CEL of the conclusion from the premises.
6. {(Vx)(Vy)[(FXAGY) Ɔ Hxy], (3x)(3y)[FxA¬Fy)^¬HXY]}
1.. (3x)(¬Fx ¬Gx)
8. {(x)(Fx ɔ ¬Gx), (Vx)(Fx A Hx)}/. (3x)¬Gx
11. -(Vx)¬Fx/ :. (Ex)Fx
15. (3x)[Fx ɔ (3y)Gy]/ .. (Vx)Fx ɔ (3x)Gx
Bonus (1): Problem 16 (you may use quantifier negation)
Bonus (2): Prove that the predicate "=" is a transitive relation.

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