Question

4. Construct a Chomsky normal form grammar for L(G) for the following cfg G: G=({S,B}, {a,b,c,d}, S, S). Note: You must first remove all unit productions. d, B »cSda|$|oba), ).

Answer 1

To construct a Chomsky normal form grammar for the given CFG G, we need to eliminate unit productions and convert the remaining production rules into CNF form.

Step-by-step explanation:

A Chomsky normal form (CNF) grammar is a context-free grammar that has certain restrictions on its production rules. To construct a CNF grammar for the given grammar G, we need to eliminate unit productions and convert the remaining production rules into the required form.

Step 1: Eliminate unit productions:
Since there are no unit productions in the given grammar G, we can skip this step.

Step 2: Convert the remaining production rules into CNF:
Start by converting each terminal symbol into a non-terminal symbol to create new production rules. Then split the right-hand side of each production rule into a combination of two non-terminals. Finally, eliminate any unnecessary non-terminals.

The CNF grammar for the given grammar G is:
S → ABBBS | B | cd
A → b
B → c
C → d
D → a