Part II (10 points, 2 points per proof) For each of the following arguments construct a formal proof of validity by adding exactly three statements (do not use CP or RAA). A) 1. P→ Q 2. R v~Q 3. ~R~S B) 1. (P⚫Q) → R 2. (~R →~Q) → S ~Q) → S . P → S ~P C) D) 1. ~P v (Q⚫R) .. P→ Q 1. Pv~(Q ~R) • .. (P v ~Q) v R E) • 1. [Pv (Q ~R)] → S 2. Q 3. Q ~(P v ~R) .. (P v ~R) → S
Part II (10 points, 2 points per proof) For each of the following arguments construct a formal proof of validity by adding exactly three statements (do not use CP or RAA). A) 1. P→ Q 2. R v~Q 3. ~R~S B) 1. (P⚫Q) → R 2. (~R →~Q) → S ~Q) → S . P → S ~P C) D) 1. ~P v (Q⚫R) .. P→ Q 1. Pv~(Q ~R) • .. (P v ~Q) v R E) • 1. [Pv (Q ~R)] → S 2. Q 3. Q ~(P v ~R) .. (P v ~R) → S
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Part II (10 points, 2 points per proof)
For each of the following arguments construct a formal proof of validity by adding
exactly three statements (do not use CP or RAA).
A)
1. P→ Q
2. R v~Q
3. ~R~S
B)
1. (P⚫Q) → R
2. (~R →~Q) → S
~Q) → S . P → S
~P
C)
D)
1. ~P v (Q⚫R)
.. P→ Q
1. Pv~(Q ~R)
•
.. (P v ~Q) v R
E)
•
1. [Pv (Q ~R)] → S
2. Q
3. Q
~(P v ~R)
.. (P v ~R) → S](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe36cfd59-91c2-452f-8d56-08b0c8a1bca7%2Fa17079a1-98ce-4073-9e5b-aa8af3b04740%2Ff4d4di9_processed.png&w=3840&q=75)
Transcribed Image Text:Part II (10 points, 2 points per proof)
For each of the following arguments construct a formal proof of validity by adding
exactly three statements (do not use CP or RAA).
A)
1. P→ Q
2. R v~Q
3. ~R~S
B)
1. (P⚫Q) → R
2. (~R →~Q) → S
~Q) → S . P → S
~P
C)
D)
1. ~P v (Q⚫R)
.. P→ Q
1. Pv~(Q ~R)
•
.. (P v ~Q) v R
E)
•
1. [Pv (Q ~R)] → S
2. Q
3. Q
~(P v ~R)
.. (P v ~R) → S
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