Justify each step in the following proof sequence of(ax)[P(x) → Q(x)] → [(7x)P(x) →Ax)Q)]1. (Ax)[P(x) → Q(x)]2. P(a) → Q(a)3. (Vx)P(x)4. P(a)5. Q(a)6. (Ix)Q(x)

The step number 1 (∃x)[P(x) → Q(x)] is the premise. It is a valid step. The step number 2 in the…

Answered: Justify each step in the following…

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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A valid argument is given below. Fill in the missing values of the proof. vx (R(x) v Q(x)) ax (P(x) v -Q(x)) 1. ax (P(x) v -Q(x)) Hypothesis 2. (b is a particular element) ^ (P(b) v ¬Q(b)) (A) : 3x (P(x) v R(x)) 3. P(b) v -Q(b) (B) 4. vx (R(x) v Q(x)) Hypothesis 5. b is a particular element (C) 6. (D) Universal instantiation, 4, 5 7. P(b) v R(b) Resolution, 3, 6 8. 3x (P(x) v R(X)) Existential generalization, 5, 7 (A) Pick (C) Pick (B) Pick (D) Pick Check Next
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Justify each step in the following proof sequence of (ax)[P(x) → Q(x)] → [(7x)P(x) →Ax)Q)] 1. (Ax)[P(x) → Q(x)] 2. P(a) → Q(a) 3. (Vx)P(x) 4. P(a) 5. Q(a) 6. (Ix)Q(x)