The following argument is valid. ((A ∨ D) → W) (R ↔ (C ∧ T)) (← R → A) ← (B ∨ C) ∴ ← (W → C) Below is a natural deduction proof, but with some of the lines and justifications missing. Using any of the proof rules (from Ch. 16 & 18 of the text) in the natural deduction system, fill in the missing lines and justifications to complete the proof (3 points). 1 ((A ∨ D) → W) Pr. 2 (R ↔ (C ∧ T)) Pr. 3 (- R → A) Pr. 4 -(B ∨ C) Pr. /∴← (W → C) 5 (- B ∧ - C) _________ 6 (W → C) _________ 7 _________ ∧E, 5 8 - W MT, 6, 7 9 - (A ∨ D) _________ 10 _________ DM, 9 11 - A ∧E, 10 12 _________ MT, 4 13 R _________ 14 (C ∧ T) _________ 15 C ∧E, 14 16 _________ -E, 7, 15 17 - (W → C) _________
The following argument is valid. ((A ∨ D) → W) (R ↔ (C ∧ T)) (← R → A) ← (B ∨ C) ∴ ← (W → C) Below is a natural deduction proof, but with some of the lines and justifications missing. Using any of the proof rules (from Ch. 16 & 18 of the text) in the natural deduction system, fill in the missing lines and justifications to complete the proof (3 points). 1 ((A ∨ D) → W) Pr. 2 (R ↔ (C ∧ T)) Pr. 3 (- R → A) Pr. 4 -(B ∨ C) Pr. /∴← (W → C) 5 (- B ∧ - C) _________ 6 (W → C) _________ 7 _________ ∧E, 5 8 - W MT, 6, 7 9 - (A ∨ D) _________ 10 _________ DM, 9 11 - A ∧E, 10 12 _________ MT, 4 13 R _________ 14 (C ∧ T) _________ 15 C ∧E, 14 16 _________ -E, 7, 15 17 - (W → C) _________
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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Question
The following argument is valid.
((A ∨ D) → W)
(R ↔ (C ∧ T))
(← R → A)
← (B ∨ C)
∴ ← (W → C)
Below is a natural deduction proof, but with some of the lines and justifications missing. Using any of the proof rules (from Ch. 16 & 18 of the text) in the natural deduction system, fill in the missing lines and justifications to complete the proof (3 points).
1 ((A ∨ D) → W) Pr.
2 (R ↔ (C ∧ T)) Pr.
3 (- R → A) Pr.
4 -(B ∨ C) Pr. /∴← (W → C)
5 (- B ∧ - C) _________
6 (W → C) _________
7 _________ ∧E, 5
8 - W MT, 6, 7
9 - (A ∨ D) _________
10 _________ DM, 9
11 - A ∧E, 10
12 _________ MT, 4
13 R _________
14 (C ∧ T) _________
15 C ∧E, 14
16 _________ -E, 7, 15
17 - (W → C) _________
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