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COS3701 Assignment 2 (COMPLETE ANSWERS) 2024 (365071) - DUE 27 June 2024
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  • Course
  • Theoretical Computer Science III - COS3701 (COS3701)
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  • University Of South Africa (Unisa)
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  • Theoretical Computer Science

COS3701 Assignment 2 (COMPLETE ANSWERS) 2024 (365071) - DUE 27 June 2024 ;100% TRUSTED workings, explanations and solutions. for assistance Whats-App.......0.6.7..1.7.1..1.7.3.9....... Question 1 [15] Build a DPDA to show that the language L = {(ba)na(ab)n-2 | n > 2} is deterministic context fr...

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  • April 21, 2024
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  • 2023/2024
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033701 ©
Assignment 2 2024
Detailed Solutions, References & Explanations

Unique number: 365071

Due Date: 27 June 2024
Question 1 [15]
Build a DPDA to show that the language L = {(ba)"a(ab)"? | n > 2} is deterministic context free.
Question 2 [15]
Prove that the language L = {ba"b2"a™" | n > 0} over the alphabet ¥ = {a, b} is non-context free.
Use the pumping lemma with length.

Question 3 [10]

Let Li be the grammar generating (aa)*. Let L2 be the grammar generating (a+b) *ba(atb)*.
First provide the grammars generating Li and L2 respectively. Then apply the applicable theorem of
Chapter 17 to determine LiLo.

Question 4 [10]

Decide whether the grammar given below generates any words.

S— XY
X— SY
Y— SX
X—a
Yoob


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