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COS3701 Assignment 2 2025 (Exceptional Response) Due July 2025

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Institution
University Of South Africa
Course
Theoretical Computer Science III

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COS3701
Assignment 2
Due July 2025

, COS3701

Assignment 2 2025

Due July 2025



Question 1: CFG for All Strings Over Σ = { a,b} That Do Not Contain the
Substring ”aba”

Context

Construct a context-free grammar (CFG) that generates all strings over Σ = { a,b} such that
the forbidden substring “aba” does not appear.

CFG Definition

• Non-terminals: S,A,B

• Terminals: a,b

• Start Symbol: S

• Productions:

S → aA | bS | ε

A → aA | bB | ε

B → aB | bS | ε

Explanation

The rule B→ a...is omitted to block the construction of “aba”. This ensures that no
derivation path can form the substring “aba”.
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Juraj Hromkovič Theoretical Computer Science
  • 2003
  • 9783540140153
  • Unknown

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