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A valid argument is given below. Fill in the missing values of the proof. Vx(P(x)→ Q(x)) 3x (P(x)^¬R(x)) ..Ex(Q(x) ^¬R(x)) (A) Pick (B) Pick < 1. Ex(P(x) ^-R(x)) 2. (A) 3. (B) ¬R(b) Vx(P(x) → Q(x)) b is a particular element P(b) → Q(b) P(b) Q(b) 10. Q(b) A-R(b) 11. 4. 5. 6. 7. 8. 9. Bx(Q(x)A-R(x)) Hypothesis Existential instantiation, 1 Simplification, 2 Simplification, 3 Hypothesis (C) (D) Simplification, 3 Modus ponens, 7, 8 Conjunction, 4, 9 Existential generalization, 6, 10 (C) Pick (D) Pick

A valid argument is given below. Fill in the missing values of the proof. Vx(P(x)→ Q(x)) 3x (P(x)^¬R(x)) ..Ex(Q(x) ^¬R(x)) (A) Pick (B) Pick < 1. Ex(P(x) ^-R(x)) 2. (A) 3. (B) ¬R(b) Vx(P(x) → Q(x)) b is a particular element P(b) → Q(b) P(b) Q(b) 10. Q(b) A-R(b) 11. 4. 5. 6. 7. 8. 9. Bx(Q(x)A-R(x)) Hypothesis Existential instantiation, 1 Simplification, 2 Simplification, 3 Hypothesis (C) (D) Simplification, 3 Modus ponens, 7, 8 Conjunction, 4, 9 Existential generalization, 6, 10 (C) Pick (D) Pick

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
Problem 1PE
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A valid argument is given below. Fill in the missing values of the proof. 1. Vx(P(x) →→ Q(x)) 3x (P(x)¬R(x)) ..3x(Q(x) ^¬R(x)) (A) Pick (B) Pick 2. (A) 3. (B) 4. ¬R(b) Vx(P(x) → Q(x)) b is a particular element P(b) → Q(b) P(b) Q(b) 10. Q(b) A-R(b) 11. 5. 6. 7. 3x (P(x) ^¬R(x)) 8. 9. x(Q(x)¬R(x)) Hypothesis Existential instantiation, 1 Simplification, 2 Simplification, 3 Hypothesis (C) (D) Simplification, 3 Modus ponens, 7, 8 Conjunction, 4, 9 Existential generalization, 6, 10 (C) Pick (D) Pick
Transcribed Image Text:A valid argument is given below. Fill in the missing values of the proof. 1. Vx(P(x) →→ Q(x)) 3x (P(x)¬R(x)) ..3x(Q(x) ^¬R(x)) (A) Pick (B) Pick 2. (A) 3. (B) 4. ¬R(b) Vx(P(x) → Q(x)) b is a particular element P(b) → Q(b) P(b) Q(b) 10. Q(b) A-R(b) 11. 5. 6. 7. 3x (P(x) ^¬R(x)) 8. 9. x(Q(x)¬R(x)) Hypothesis Existential instantiation, 1 Simplification, 2 Simplification, 3 Hypothesis (C) (D) Simplification, 3 Modus ponens, 7, 8 Conjunction, 4, 9 Existential generalization, 6, 10 (C) Pick (D) Pick
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