$2.(5$ points each$)$ For each of the following language descriptions, rewrite it in set notation without

the Kleene star. Infinite union notation can be avoided using this shorthand: a$*\{$

$$

$|>=0\}$

a$.\backslash$Sigma $$

$*$

b$.\backslash$Sigma $$

$3$

c$.\{0,1,2\}$

$2$

d$.\{$ xy$^2$z$\}$ where $$

x $=$ a$,$ y $=$ab$,$ z$=$ ac

e$.$ egrep regex: $[$abc$]$d$[$ef$]$

f$.$ egrep regex: cat$+$hat$+$

g$.$ egrep regex: $[$chr$]$at $$

h$.$ egrep regex: w$[^$AZ$]*$x $$

i$.$ egrep regex: $($wolf$|$sheep$)($skin$|$ish$)$

j$.$ L$[$IO$]+$VE $$