A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet four inhabitants: Bozo, Marge, Bart and Zed.
- Bozo says,"
Bart and Zed are both knights
". - Marge tells you that both Bart is a knight and Zed is a knave
- Bart tells you,"
Neither Marge nor Zed are knaves
". - Zed says that neither Bozo nor Marge are knaves.
Can you determine who is a knight and who is a knave?
I am having extreme difficulty with this can anyone help me? I assume is starts like this.
So
$Bo\equiv(Ba\land Ze)$
$Ma≡(Ba\land \lnot Ze)$
$Ba\equiv(Ma\lor Ze)$
$Ze≡(Bo\lor Ma)$
Where
$Bo$= Bozo is a knight
$Ma$= Marge is a knight
$Ba$= Bart is a knight
$Ze$= Zed is a knight