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COS3701 Assignment 3 2025 - Due 2025

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COS3701 Assignment 3 2025 - Due 2025 100% COMPLETE Answers

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COS3701
Assignment 3 2025

, Assignment 03

Question 1



Let L₁ = (aa)*, L₂ = (a + b)*ab(a + b)*

Grammar for L₁:
Variables: S₁
Terminals: a
Start symbol: S₁
Productions:
S₁ → aaS₁ | ε

Grammar for L₂:
Variables: S₂, A, B
Terminals: a, b
Start symbol: S₂
Productions:
S₂ → AabB
A → aA | bA | ε
B → aB | bB | ε

Grammar for L₁L₂:
Variables: S₀, S₁, S₂, A, B
Terminals: a, b
Start symbol: S₀
Productions:
S₀ → S₁S₂
S₁ → aaS₁ | ε
S₂ → AabB
A → aA | bA | ε
B → aB | bB | ε

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