Dwayne Johnson has got an assignment from his Professor of TOC. He has the alphabet set E = {a, b, (, ), U, *, Ø}. Dwayne Johnson has to make a context-free grammar which generate all string in Z*...

Extracted text: Dwayne Johnson has got an assignment from his Professor of TOC. He has the alphabet set E = {a, b, (, ), U, *, Ø}. Dwayne Johnson has to make a context-free grammar which generate all string in Z* which are regular expressions over the set {a, b}. If Dwayne Johnson can do this he will be promoted to the elite section but if he fails he will be demoted. You have to help Dwayne go to elite section by doing this task for him.