Question

Consider the grammar provided below: S → AB | aB A → aab | Λ B → bbA

Question: Showing all the steps convert the above grammar to Chomsky Normal Form (CNF)

Answer 1

Consider the grammar provided below - NULL Procluction Sala A) aabla 15-) bb th stept convert above forn (CNF) Question show grammar to chomsky Normal A Sol- In Chomsty Normal form (CNF) we have restriction on the length of Rts; which is elements in Ris should either be two variables or Terminal CFG is in Chomsky Normal form is the productions are The following A forms - Ata А - Вс where A, B and c are non terminals and a a Terminal steps to convert gwen CFG into Chomsky Normal form (CNF) Start NJ Step 1: If the Symbol s occurs on some right side, Create a new production sys. step 2: Remove NULL Produtos Symbol s' and Skebo Remove Unit Productions two OY more production is in the form AaB Step 4 Replace each production AB - Bn wheren n2, with A- B, C. where B2 -Bu Repeat this step for all productions having symbols the right side 36 5:- DA the right side of any where 'a' is a terminal and A and B are non- terminals, then the production is replaud by A-XB and x) a Repeat this step for every Production which is of the form A-laß

S ABABA A) dabla BA Step It the 00 start symbol s ocun sone right side ودای 5 - ABABA BLA A aabla Slab 20 es Remove NULL Productions А-А Remone AA و داد SAB/aBA/BlaB At aab B bbAlbb Step 3 - Remove Unit Production s's, SB Removing S ABlaBa| BlaB A - aab B-) bb Albb Removing s-B SABlaBlaB А-аар B + bb A 166.

Step 4. For the new production, replace cache production A-IB Bn with ABC where B Bn sh Ablax laß Aaab B bb Albb Х - ВА steps it If the right side of any production is in the form AaB where a is the terminal and A and B are non-terminals then the production is replaced by A XB and x-a sh) A3/YX/YB A - YV BWAWN =) B-WU/WW x - BA U Y a W - b VYW U WA