TAFL PYQ 2022-23 AKTU Question Paper
AKTU · BTECH · Semester 4 · Theory of Automata and Formal Languages · Session 2022-23 · PYQ
AKTU Theory of Automata and Formal Languages previous year question paper 2022-23 for B.Tech Semester 4. Covers Basic Concepts and Automata Theory, Regular…
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Theory of Automata and Formal Languages AKTU syllabus
- Unit 1: Basic Concepts and Automata Theory
- Unit 2: Regular Expressions and Languages
- Unit 3: Regular and Non-Regular Grammars
- Unit 4: Push Down Automata and Properties of Context Free Languages
- Unit 5: Turing Machines and Recursive Function Theory
Questions in Theory of Automata and Formal Languages AKTU PYQ 2022-23
- Q1a. What do you understand by grammar? (2 marks, 2022-23)
- Q1b. What do you mean by ε-Closure in FA? (2 marks, 2022-23)
- Q1c. State Arden's Theorem. (2 marks, 2022-23)
- Q1d. State Kleen's Theorem. (2 marks, 2022-23)
- Q1e. Derive the CFG for (a+b)*. (2 marks, 2022-23)
- Q1f. Explain Chomsky Hierarchy. (2 marks, 2022-23)
- Q1g. Explain pumping lemma for context free language. (2 marks, 2022-23)
- Q1h. Draw the graphical representation for PDA. (2 marks, 2022-23)
- Q1i. Explain Halting Problem of Turing Machine. (2 marks, 2022-23)
- Q1j. Explain Linear bounded Automata. (2 marks, 2022-23)
- Q2a. Construct a DFA for ternary number divisible by 4. (10 marks, 2022-23)
- Q2b. Determine the FA accepted by the language described by the regular expression: (0+1)*0(0+1)*0(0+1)* over the alphabet {0,1} and also mention the accepted language? (10 marks, 2022-23)
- Q2c. Consider the grammar with following production rules: S→ABD | AC, A→aA | bAa | a, B→bbA | aB | AB, C→aCa | aD, D→aD | bC. Convert the above grammar into Chomsky Normal Form. (10 marks, 2022-23)
- Q2d. Design a PDA for the language L= {WW^T | W= (a+b)*} (10 marks, 2022-23)
- Q2e. Write short notes on: i) Church's Thesis ii) Recursive and Recursive Enumerable Language (10 marks, 2022-23)
- Q3a. Construct a DFA equivalent to the NFA (10 marks, 2022-23)
- Q3b. Construct a minimum state automata equivalent to a DFA whose transition table is as follows where q3 and q4 are final state. (transition table with states Q0-Q7 over inputs a,b given) (10 marks, 2022-23)
- Q4a. Find the regular expression corresponding to the finite automata given below: (10 marks, 2022-23)
- Q4b. State pumping lemma for regular language. Prove that the language L= {a^p | p is prime} is not regular. (10 marks, 2022-23)
- Q5a. A context free grammar G is given by the following productions: E→E+E|E-E|E*E|E^E|N, N→0|1|2|3|4|5|6|7|8|9. Determine whether the grammar G is ambiguous or not. If ambiguous then construct an unambiguous grammar equivalent to G. (10 marks, 2022-23)
- Q5b. Explain Closure properties of regular language. (10 marks, 2022-23)
- Q6a. Design a two stack PDA for the language L={a^n b^n c^n | n>=1} (10 marks, 2022-23)
- Q6b. Generate CFG for the given PDA M = ({q0, q1}, {0,1}, {x, z0}, δ, q0, z0, q1) where δ is given as: δ(q0,1,z0)=(q0,xz0), δ(q0,1,x)=(q0,xx), δ(q0,0,x)=(q0,x), δ(q0,ε,x)=(q1,ε), δ(q1,ε,x)=(q1,ε), δ(q1,0,x)=(q1,xx), δ(q1,0,z0)=(q1,ε) (10 marks, 2022-23)
- Q7a. Design a Turing Machine for the language: L={a^n b^n c^n | n>=1} (10 marks, 2022-23)
- Q7b. Write short notes on: (i) Variants of Turing Machine (ii) Post Correspondence problem (iii) Universal Turing Machine (10 marks, 2022-23)
AKTU paper codes: BCS402, KCS402, RCS403
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