Solve the following questions. Show your solutions completely and clearly. 1. The following is a logical proof for the inference Premises : (mp vq) →r r - (s vt) NSANU Conclusion: p Give a reason to justify each step of the proof. Write the full reason. Do not abbreviate. Steps Reason 1. - SANU 2. ~ u 3. -u Nt 4. -t 5. S 6. ~ SAt 7.r (svt) 8. - (SVt) →Nr 9. (~ s A t) -Nr 10. -r 11. (~p v q) – r 12. - r (p vg)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve the following questions. Show your solutions completely and clearly.
1. The following is a logical proof for the inference
Premises : (~p vq) →r
r - (s Vt)
N SANU
~ u Nt
Conclusion: p
Give a reason to justify each step of the proof. Write the full reason. Do not abbreviate.
Steps
Reason
1. - SANU
2. ~ u
3. - u Nt
4. -t
5. -s
6. ~ SAt
7.r- (svt)
8. - (SVt) →r
9. (~ s A t) -Nr
10. -r
11. (~p v q) – r
12. - r (p vq)
Transcribed Image Text:Solve the following questions. Show your solutions completely and clearly. 1. The following is a logical proof for the inference Premises : (~p vq) →r r - (s Vt) N SANU ~ u Nt Conclusion: p Give a reason to justify each step of the proof. Write the full reason. Do not abbreviate. Steps Reason 1. - SANU 2. ~ u 3. - u Nt 4. -t 5. -s 6. ~ SAt 7.r- (svt) 8. - (SVt) →r 9. (~ s A t) -Nr 10. -r 11. (~p v q) – r 12. - r (p vq)
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