A valid argument is given below. Fill in the missing values of the proof. vx (P(x) → (Q(x) v R(x))) b is a particular element -R(b) P(b) :. 3X Q(X) 1. VX (P(x)→ (Q(x) v R(x))) Hypothesis 2. b is a particular element P(b) → (Q(b) v R(b)) P(b) 3. 4. 5. (C) 6. -R(b) 7. Q(b) 8. (D) (A) (B) Hypothesis Modus ponens, 3, 4 Hypothesis Disjunctive syllogism, 5, 6 Existential generalization, 2, 7

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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Pick the option that is correct for A, B, C, D

(A) Element defintion or Hypothesis 

(B) Exsistential generaliztion 1, 2 or Exsistential instantaion 1, 2 or Universal generaliztion 1, 2 or  Universal  instantaion 1, 2

(C) Q(b) ^ R(b) or  Q(b) ∨ R(b) or Q(x) ^ R(x)  or  Q(x) ∨ R(x)

(D) ∀Q(x) or ∀¬Q(x) or ∃Q(x) or ∃¬Q(x)

A valid argument is given below. Fill in the missing values of the proof.
vx (P(x) → (Q(x) v R(x)))
b is a particular element
-R(b)
P(b)
:. 3X Q(x)
(A) Pick
E
(B) Pick
1. Vx (P(x) → (Q(x) v R(x))) Hypothesis
2.
b is a particular element
(A)
3.
P(b) → (Q(b) v R(b))
4. P(b)
5. (C)
6.
7.
8. (D)
-R(b)
Q(b)
Hypothesis
Modus ponens, 3, 4
Hypothesis
Disjunctive syllogism, 5, 6
Existential generalization, 2, 7
(C) Pick
(D) Pick
Transcribed Image Text:A valid argument is given below. Fill in the missing values of the proof. vx (P(x) → (Q(x) v R(x))) b is a particular element -R(b) P(b) :. 3X Q(x) (A) Pick E (B) Pick 1. Vx (P(x) → (Q(x) v R(x))) Hypothesis 2. b is a particular element (A) 3. P(b) → (Q(b) v R(b)) 4. P(b) 5. (C) 6. 7. 8. (D) -R(b) Q(b) Hypothesis Modus ponens, 3, 4 Hypothesis Disjunctive syllogism, 5, 6 Existential generalization, 2, 7 (C) Pick (D) Pick
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