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Assignment 01
Instruction:
First of all, make your answer script into a pdf file. Then upload the file to your google drive and create the shareable link. Then attach the link to your textbox.
Question:
Prove that All the compound propositions are logically equivalent using the truth table
- p → q ≡ ¬q → ¬p
- ¬(p → q) ≡ p ∧ ¬q
- (p → q) ∧ (p → r) ≡ p → (q ∧ r)
- (p → r) ∧ (q → r) ≡ (p ∨ q) → r
- (p → q) ∨ (p → r) ≡ p → (q ∨ r)
- p ↔ q ≡ (p → q) ∧ (q → p)
- p ↔ q ≡ (p ∧ q) ∨ (¬p ∧ ¬q)
- ¬(p ↔ q) ≡ p ↔ ¬q