Given formula
Find if it is tautology using truth table method.
A | B | A ⊃ B | B ∧ (A ⊃ B) | (B ∧ (A ⊃ B)) ⊃ A |
---|---|---|---|---|
T | T | T | T | T |
T | F | F | F | T |
F | T | T | T | F |
F | F | T | F | T |
As third rows give a false
value, Hence proved that the given formula is not a tautology.
Given formula
Find if it is tautology using truth table method.
A | B | A ⊃ B | B ∧ (A ⊃ B) | (B ∧ (A ⊃ B)) ⊃ A |
---|---|---|---|---|
T | T | T | T | T |
T | F | F | F | T |
F | T | T | T | F |
F | F | T | F | T |
As third rows give a false
value, Hence proved that the given formula is not a tautology.