$(18$ pt$)$ Using zero, one and two as well as succ, true and false provided in the lecture, answer the

following questions:

Suppose we define unknown: $(\backslash$lambda $($x$)(\backslash$lambda $($y$)(\backslash$lambda $($z$)$ y$)))$ and g: $(\backslash$lambda $($n$)(($n unknown$)$ f alse$)),$ what is the

result of:

i$.(4$ pt$)($g zero$)$

ii$.(3$ pt$)($g one$)$

iii. $(3$ pt$)($g two$)$

iv$.(4$ pt$)$ What mathematical$/$logical operation is computed by g$?$