Write the duals of the following statements :
(i) `( p vv q) ^^t` (ii) ` p vv t) ^^ r` (iii) ` ( p vv q) vv c`
Where t denotes tautology and c denotes contradiction.

Explanation

To find the duals of the given statements, we need to follow the rules of duality in propositional logic. The dual of a statement is obtained by interchanging the logical operators: conjunction (AND, denoted by `^^`) with disjunction (OR, denoted by `vv`), and replacing tautology (`t`) with contradiction (`c`) and vice versa.

Let's solve each part step by step:

### (i) Statement: `(p vv q) ^^ t`
1. Identify the logical operators and constants:
- The operator `vv` (OR) will be changed to `^^` (AND).
- The operator `^^` (AND) will be changed to `vv` (OR).
...