(1) If jack was in the bedroom or Vicky was not in the bedroom, then Jack stole the neck- lace. Vicky was not in the bed room and Tom was in the bed room. If Jack is quite, then neither Vicky nor Jack stole the necklace. Therefore, If Jack is quite and Vicky is not in the bed room, then Tom stole the necklace. (a) Write the symbolic of the above argument. Let: p=jack was in the bedroom, q=Vicky was in the bedroom, r=Jack stole the neck- lace, s=Tom was in the bed room, t=Jack is quite, u=Vicky stole the neck- lace, v=Tom stole the neck- lace (1) (p v ¬q) -r (2) ¬9AS (3) t- (¬u A r) * (ta ng) - v (b) Show that the above argument is valid using Inference rules.

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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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This is a quetsion related to discrete structures. As shown below I solved q1:(part a) but now I need the solution for part b

(1) Ifjack was in the bedroom or Vicky was not in the bedroom, then Jack stole the neck- lace. Vicky was not in
the bed room and Tom was in the bed room. If Jack is quite, then neither Vicky nor Jack stole the necklace.
Therefore, If Jack is quite and Vicky is not in the bed room, then Tom stole the necklace.
(a) Write the symbolic of the above argument.
Let:
p=jack was in the bedroom, q=Vicky was in the bedroom, r=Jack stole the neck- lace, s=Tom was in the
bed room, t=Jack is quite, u=Vicky stole the neck-lace, v=Tom stole the neck- lace
(1) (p v ¬q) →r
(2) -qAS
(3) t- (¬u A r)
(ta -4) - v
(b) Show that the above argument is valid using Inference rules.
Transcribed Image Text:(1) Ifjack was in the bedroom or Vicky was not in the bedroom, then Jack stole the neck- lace. Vicky was not in the bed room and Tom was in the bed room. If Jack is quite, then neither Vicky nor Jack stole the necklace. Therefore, If Jack is quite and Vicky is not in the bed room, then Tom stole the necklace. (a) Write the symbolic of the above argument. Let: p=jack was in the bedroom, q=Vicky was in the bedroom, r=Jack stole the neck- lace, s=Tom was in the bed room, t=Jack is quite, u=Vicky stole the neck-lace, v=Tom stole the neck- lace (1) (p v ¬q) →r (2) -qAS (3) t- (¬u A r) (ta -4) - v (b) Show that the above argument is valid using Inference rules.
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