Theoretical Computer Science III
University of South Africa (Unisa)
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COS3701 Assignment 3 Memo | Due August 2025
- Examen • 13 pages • 2025
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COS3701 Assignment 3 Memo | Due August 2025. Step by Step Calculations Provided. Question 1 [10] 
Given that L1 = (aa)* and L2 = (a + b)*ab(a + b)*. 
Find grammars for L1 and L2. Then use Theorem 37 to find L1L2. 
Question 3 [10] 
Using theorem 42 algorithm to determine whether the following grammar generate any words. 
S AB 
A BC 
C DA 
B CD 
D a 
A b 
Look at the reformulated version of Theorem 42 in your online study units 
Question 4 [15] 
Build a Turing Machine (TM) that 
• accepts a...
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