Question: Programming languages are often described using an extended form of context-free grammar, where square brackets are used to denote an optional construct. For example, A

Programming languages are often described using an extended form of context-free grammar, where square brackets are used to denote an optional construct. For example, A B[C]D says that an A can be replaced by a B and a D, with an optional C between them. This notation does not allow us to describe anything but context-free languages, since an extended production can always be replaced by several conventional productions.

Suppose a grammar has the extended productions:

A B[CD]EF | BC[DE]F

Convert this pair of extended productions to conventional productions. Identify, from the list below, the conventional productions that are equivalent to the extended productions above.

a) A BCDEF | BEF

b) A BA₁F

A₁ CD | DE |

c) A BA₁EF | BCA₂F

A₁ CD |

A₂ DE |

d) A BA₁EF | BCA₂F

A₁ CD

A₂ DE

What is the answer? Explain me Plz

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