4. Build CFG to generate all strings of the form 10m 1n, where m and n are greater or equal to 0. Please demonstrate the derivation of 111000000111

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**Task 4: Constructing a CFG**

**Objective:**
Develop a Context-Free Grammar (CFG) to generate all strings of the form 1^n 0^m 1^n, where both m and n are greater than or equal to 0. Provide an example to demonstrate the derivation of the string 11100000111.

**Instructions:**

1. **Define the CFG:**
   Your goal is to create production rules that form a grammar capable of generating strings in the specified format.

2. **Derivation Example:**
   Use the CFG you developed to illustrate the step-by-step derivation of the string `11100000111`.

### CFG Construction:
The CFG must be designed with the following rules in mind:
- It should generate strings with `n` number of `1`s, followed by `m` number of `0`s, and ending with the same `n` number of `1`s.

### Step-by-Step Derivation:
Using the rules of the CFG, demonstrate how the string `11100000111` can be derived.

**Example Derivation:**

1. Start with the initial symbol.
2. Apply production rules sequentially to derive the final string.
Transcribed Image Text:**Task 4: Constructing a CFG** **Objective:** Develop a Context-Free Grammar (CFG) to generate all strings of the form 1^n 0^m 1^n, where both m and n are greater than or equal to 0. Provide an example to demonstrate the derivation of the string 11100000111. **Instructions:** 1. **Define the CFG:** Your goal is to create production rules that form a grammar capable of generating strings in the specified format. 2. **Derivation Example:** Use the CFG you developed to illustrate the step-by-step derivation of the string `11100000111`. ### CFG Construction: The CFG must be designed with the following rules in mind: - It should generate strings with `n` number of `1`s, followed by `m` number of `0`s, and ending with the same `n` number of `1`s. ### Step-by-Step Derivation: Using the rules of the CFG, demonstrate how the string `11100000111` can be derived. **Example Derivation:** 1. Start with the initial symbol. 2. Apply production rules sequentially to derive the final string.
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