In the book I am reading it is stated that if $L$ is a context-free language then so is $L^{R}$(where $L^{R}:=\{w^{R}:w\in L\}$, example: $(ab)^{R}=ba$).
This claim has been proven in the text using Chomsky normal form and hence it $\epsilon\in L$ the proof is invalid.
Can I make a reduction from the general case (i.e. any context-free language) to this case ?
My only thought is to add the rule $S\to\epsilon$ to the grammar and prove the claim in a similar manner