(b) Use the specified laws and axioms of logic to prove that p ←→ q ≡...
(b) Use the specified laws and axioms of logic to prove that p ←→ q ≡ (p ∨ q) → (p ∧ q). The first step is given. (6 × 2 = 12 marks)
Step Specified Law or Axiom (i) p ←→ q ≡ (~p ∨ q) ∧ (~q ∨
p)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
The equivalence law says p ←→ q ≡ (p → q) ∧ (q → p) and the
implication law means p → q ≡ (~p ∨ q) and q → p ≡ (~q ∨ p).
Distributive law
Commutative & Distributive laws
Complement law
Identity law
De Morgan’s law
Implication law
Homework Answers
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(b) Use the specified laws and axioms of logic to prove that p
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