# intro to logic inference rules

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Exercise 43 … (For-Credit of 10 points)

[43-1]  Explain the basic difference between the two subsets of inference rules.

Derive the conclusion from the given premises (for 4 exercises below).
(extracted mainly from textbook Exercise 4-8 and elsewhere)

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[43-2]

C:  ~B

P1:  A & (B -> C)

P2:  ~(C & A)

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[43-3]

C:  C

P1:  (A & B)  V  (C & D)

P2:  ~A

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[43-4]

C:  ~B

P1:  (A & B) -> C

P2:  A & ~C

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[43-5]

(Hint: use Equiv to break P1, an equivalence, into a conjunction of 2 conditionals)

C:  ~U

P1:  (A & U) <-> ~R

P2: ~(~R V ~A)

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