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5.2 Transform the following grammar to Chomsky Normal Form. s--0s1s s--1sos s--01100011?

Here's how to transform the grammar into Chomsky Normal Form (CNF):

1. Eliminate ε-productions (productions that produce the empty string):

This grammar doesn't have any ε-productions, so we skip this step.

2. Eliminate unit productions (productions of the form A → B, where A and B are non-terminals):

This grammar doesn't have any unit productions either.

3. Convert all productions with more than two symbols on the right-hand side:

We need to introduce new non-terminals to break down the productions:

* For s → 0s1s:

* Introduce a new non-terminal, say `A`.

* Replace the production with:

* `s → 0A`

* `A → s1s`

* For s → 1sos:

* Introduce a new non-terminal, say `B`.

* Replace the production with:

* `s → 1B`

* `B → so`

* For s → 01100011:

* Introduce new non-terminals `C`, `D`, `E`, `F`, `G`.

* Replace the production with:

* `s → 0C`

* `C → 1D`

* `D → 1E`

* `E → 0F`

* `F → 0G`

* `G → 011`

4. Convert all productions with a single terminal on the right-hand side:

We need to introduce more non-terminals:

* For G → 011:

* Introduce new non-terminals `H` and `I`.

* Replace the production with:

* `G → 0H`

* `H → 1I`

* `I → 1`

Resulting Grammar in CNF:

```

s → 0A | 1B

A → s1s

B → so

C → 1D

D → 1E

E → 0F

F → 0G

G → 0H

H → 1I

I → 1

```

Explanation:

* CNF Rules: A grammar is in CNF if all its productions are of the form:

* A → BC (where A, B, and C are non-terminals)

* A → a (where A is a non-terminal and a is a terminal)

* New Non-Terminals: We introduced new non-terminals to break down the original productions into CNF form.

* Final Form: The resulting grammar now only uses productions with two non-terminals or a single terminal on the right-hand side, fulfilling the CNF criteria.

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