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
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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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