COMPUTATIONAL-LOGIC Homework 1 Solved

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HOMEWORK 1

  • Show p =⇒ q,r =⇒ s ` p r =⇒ q s is valid.
  • Show (p q) ∨ (p r) ` p ∧ (q r) is valid.
  • Show p q =⇒ r ` (p =⇒ r) ∨ (q =⇒ r) is valid.
  • Show p =⇒ q p q is valid.
  • Show ` (p =⇒ q) ∨ (q =⇒ r) is valid.