A valid argument is given below. Fill in the missing values of the proof. vx (R(x) v Q(x)) 3X (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

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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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
Transcribed Image Text: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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