Logical Equivalence Involving Tautology
Example: Show that r ∧ t ≡ r
Truth Table for r ∧ t
| r | t | r ∧ t |
| T | T | T |
| F | T | F |
Exercises
Exercise 1: Tautology
Use truth table to show that ( p ∧ q ) ∨ (~p ∨ ( p ∧ ~q )) is a tautology.
Solution:
Exercise 2: Contradiction
Use truth table to show that (p ∧ ~ q) ∧ (~p ∨ q) is a contradiction.
Solution:
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Date of last modification: 2024