sit192 ass1

sit192 ass1 - SIT192 ASSIGNMENT 1 1. (i) P(rs) (ii) s(pq)...

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SIT192 ASSIGNMENT 1 1. (i) ¬P (r s) ∧ ∧ (ii) s→(p q) (iii) (r ¬q) → ¬p (iv) (r ¬s) → (¬p ¬q) 2. (i) They drink, or they read and study (ii) If they don’t read, they don’t eat (iii) They study and read if and only if they eat or drink (iv) They read and don’t drink if they don’t eat 3. (i) P q ¬q p ¬q (p ¬q) q T T F T T T F T T T F T F F F F F T T F (ii) P q ¬p p q ¬(p q) ¬p → ¬(p q) T T F T F T T F F F T T F T T F T T F F T F T T (iii) P q r ¬r p q (p q) ↔ ¬r T T T F T F T T F T T T T F T F F T T F F T F F F T T F F T F T F T F F F F T F F T F F F T F F 4. (i) p ¬(p q) ≡ p ¬q LHS ≡ p ¬(p q) ≡ p (¬p ¬q) ≡ (p ¬p) (p ¬q) ∧ ∨ ≡ T (p ¬q) ∧ ∨ ≡ p ¬q ≡ RHS (ii) p ¬(¬q r) ≡ (p q) (p ¬r) ∧ ∨ ∧ LHS ≡ p ¬(¬q r) ≡ p (q ¬r) ∧ ∨ ≡ (p q) (p ¬r) ∧ ∨ ∧
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≡ RHS (iii) (p q) → p ≡ T LHS ≡ (p q) → p
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This note was uploaded on 10/03/2011 for the course SIT 192 taught by Professor Nothing during the Three '11 term at Deakin.

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sit192 ass1 - SIT192 ASSIGNMENT 1 1. (i) P(rs) (ii) s(pq)...

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