Final answer:
The expression ¬¬n∧t can be simplified to ¬(¬n∨¬t) using De Morgan's laws.
Step-by-step explanation:
The given expression is ¬¬n∧t. We need to simplify this expression to n.
(a) Apply the next logical law from the right: Starting from the right, we have t. So, we can rewrite the expression as ¬¬n∧t = ¬¬n∧t.
(b) Identify the equivalent expression using the laws of logic: The expression ¬¬n∧t is equivalent to n∧t by the Double Negation Law (¬¬n = n).
(c) Simplify the expression using De Morgan's laws: We can rewrite n∧t as ¬(¬n∨¬t) using De Morgan's Law. So, the simplified expression is ¬(¬n∨¬t).
(d) Determine the truth value of the expression: The truth value of the expression ¬(¬n∨¬t) depends on the values of n and t. If both n and t are true, then the expression is false. Otherwise, the expression is true.