Question $5$

Consider the context$-$free grammar

$AaA|B|$

$BbB|cA$

You may assume $A$ is the start symbol and so $ is in

Follow$($A$).$ In each of the following questions list your set in

alphabetical order with $ at the end of the list if it's included.

If a set is empty write exactly the word empty. Separate

items using commas and no spaces. For example: $x,y,$$

What is in First$($A$)?\{$

$\}$

What is in First$($B$)?\{$

$\}$

What is in Follow$($A$)?\{$

$\}$

What is in Follow$($B$)?\{$

$\}$