Use only the inference rules MP, MT, DS and HS for this quiz (You can use DN if you want, though you do not need to use it.) /~D (Note: /~D means: prove ~D) 1. 1. Cv (~D v~X) 2. ~C 3. X 2. 3. 1. AD B 2. ~B 3. ~AD (~Cv B) 1. ~ADD 2. ~Dv (~B~~~~A) 3. ~A 4. ~B /~C /~~~~A

Use only the inference rules MP, MT, DS and HS for this quiz (You can use DN if you want, though you do not need to use it.) /~D (Note: /~D means: prove ~D) 1. 1. Cv (~D v~X) 2. ~C 3. X 2. 3. 1. AD B 2. ~B 3. ~AD (~Cv B) 1. ~ADD 2. ~Dv (~B~~~~A) 3. ~A 4. ~B /~C /~~~~A

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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Question

For each proof, you must include (i.e., write) the premises in that proof. I do not want to see any proofs without premises. Do not use any transformation rules (e.g. contraposition) in your proof other than DN. Only use the eight inference rules.

YOU CANNOT USE CONDITIONAL PROOF (CP), INDIRECT PROOF (IP), OR ASSUMED PREMISES (AP). You will lose points if you use any of the inference rules Resolution, Contradiction, Transposition, Idempotence, and Identity.

Use only the inference rules MP, MT, DS and HS for this quiz
(You can use DN if you want, though you do not need to use it.)
/~D (Note: /~D means: prove ~D)
1.
1. Cv (~D v~X)
2. ~C
3. X
2.
3.
1. AD B
2. ~B
3. ~A (~C v B)
1. ~ADD
2. ~Dv (~B~~~~A)
3. ~A
4. ~B
/~C
/~~~~A

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