COS3701 Assignment 2 (COMPLETE ANSWERS) 2024 (365071) - DUE 27 June 2024 ;100% TRUSTED workings, explanations and solutions.
25 views 0 purchase
Course
Theoretical Computer Science III - COS3701
Institution
University Of South Africa
Book
Theoretical Computer Science
COS3701 Assignment 2 (COMPLETE ANSWERS) 2024 (365071) - DUE 27 June 2024 ;100% TRUSTED workings, explanations and solutions. ...... Question 1 [15] Build a DPDA to show that the language L = {(ba)na(ab)n-2 | n > 2} is deterministic context free. Question 2 [15] Prove that the language L = {banb2...
Exam (elaborations) COS1501 Assignment 2 (COMPLETE ANSWERS) 2024 (653506) - 14 June 2024 • Course • Theoretical Computer Science I (COS1501) • Institution • University Of South Africa (Unisa) ...
Exam (elaborations) COS1501 Assignment 2 (COMPLETE ANSWERS) 2024 (653506) - 14 June 2024 • Course • Theoretical Computer Science I (COS1501) • Institution • University Of South Africa (Unisa) ...
Exam (elaborations) COS1501 Assignment 2 (COMPLETE ANSWERS) 2024 (653506) - 14 June 2024 • Course • Theoretical Computer Science I (COS1501) • Institution • University Of South Africa (Unisa) ...
All for this textbook (27)
Written for
University of South Africa
Theoretical Computer Science III - COS3701
All documents for this subject (3)
Seller
Follow
MasterVincent
Reviews received
Content preview
COS3701 Assignment 2
(COMPLETE ANSWERS) 2024
(365071) - DUE 27 June 2024
;100% TRUSTED workings,
explanations and solutions.
ADMIN
[COMPANY NAME]
, Question 1 [15] Build a DPDA to show that the language L = {(ba)na(ab)n-2 |
n > 2} is deterministic context free.
To demonstrate that the language
�={(��)�(��)�−2∣�>2}L={(ba)n(ab)n−2∣n>2} is deterministic context-free,
we can construct a deterministic pushdown automaton (DPDA) that recognizes it.
Here's the high-level idea of how to design such a DPDA:
1. The DPDA needs to ensure that there are at least three 'ba' pairs at the beginning and at least one
'ab' pair at the end.
2. After the minimum required 'ba' pairs at the beginning, it needs to allow any number of 'ab' pairs
minus two.
Let's build the DPDA:
• State set: �={�0,�1,�2,�3,�4,�5}Q={q0,q1,q2,q3,q4,q5}
• Input alphabet: Σ={�,�}Σ={a,b}
• Stack alphabet: Γ={�,�,�}Γ={a,b,Z} where �Z is the initial stack symbol.
• Transition function: Define transition rules based on the current state, input symbol, and
top of the stack.
• Initial state: �0q0
• Initial stack symbol: �Z
• Accept state: �5q5
The DPDA transitions are as follows:
1. From �0q0, upon reading 'b', push 'b' onto the stack and remain in �0q0.
2. From �0q0, upon reading 'a', push 'a' onto the stack and transition to �1q1.
3. From �1q1, upon reading 'b', transition to �2q2 without consuming input or popping stack.
4. From �2q2, upon reading 'a', transition to �3q3 without consuming input or popping stack.
5. From �3q3, upon reading 'b', transition to �4q4 without consuming input or popping stack.
6. From �4q4, upon reading 'a', transition to �5q5 without consuming input or popping stack.
Additionally, for states �1,�2,�3,�4q1,q2,q3,q4, when reading 'a' or 'b', they remain in
their respective states without consuming input or popping the stack.
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller MasterVincent. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $2.55. You're not tied to anything after your purchase.
