B.TechSemester 42023-24Theory Of Automata And Formal LanguagesBCS402

Theory Of Automata And Formal Languages (BCS402) - AKTU Question Paper 2023-24

B.Tech · Semester 4 · Free PDF Download

This is the official AKTU Theory Of Automata And Formal Languages Previous Year Question Paper for B.Tech Semester 4, academic session 2023-24. Published by Dr. A.P.J. Abdul Kalam Technical University (AKTU/UPTU), Lucknow. Free PDF download — no login required.

Course:B.Tech
Semester:Semester 4
Session:2023-24
University:AKTU / UPTU

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Questions Asked in 2023-24

Theory Of Automata And Formal Languages (BCS402) — complete question paper · 70 marks · 3 Hours

Section AAttempt all questions in brief. 2 x 7 = 14
  • a
    Give the mathematical definition of DFA. Differentiate between N F A a n d DFA
  • b
    Construct Deterministic Finite Automata (DFA) to accept string that always
    ends with 101 over alphabet Σ ={0,1}
  • c
    Give regular expressions that represent the language (L), whic h has all binary strings having two consecutive 0s and two consecutive 1s over the alphabet Σ
  • d
    Compute the Language generated by the given CFG G = ({S}, {a, b}, P, S}
    where P is defined by:
                  {S → SS, S → ab, S → ba, S → ε}
  • e
    Let G be the grammar Determine the leftmost derivation for the string 00110101
  • f
    Explain the concept of two stack PDA. Give an example of a lan guage that is accepted by two stack PDA but not accepted by normal one stack PDA
  • g
    Explain Multi Tape Turing Machine
Section BAttempt any three of the following: 7 x 3 = 21
  • a
    Construct a Finite automata (DFA) which accepts all binary num bers whose decimal equivalent is divisible by 4 over Σ = {0, 1}
  • b
    Compute the regular expression using Arden`s Theorem for the f ollowing DFA
  • c
    Write an equivalent left linear grammar from the given right linear grammar
  • d
    Differentiate between DPDA and NPDA. Construct a PDA that acce pts language L = {𝑎௡𝑏௡ | 𝑛 ൒ 1}
  • e
    Differentiate between Deterministic Turing machine and Non-Det erministic Turing machine. Design a Turing machine for the language L={ww | w  (a +
Section CAttempt any one part of the following: 7 x 1 = 7
  • a
    Construct a DFA corresponding to the following NFA with 𝛜 moves
  • b
    Express in the minimum state automata equivalent to DFA described in below figure
  • a
    State Pumping Lemma for Regular Language. Show that the given l anguage L={ap | Where p is a prime} is not regular
  • b
    Discuss closure properties (i.e. union, concatenation, complement, intersection and difference) of regular language
  • a
    Reduce the given grammar G = ({S, A, B}, {a, b}, P, S) to Choms ky Normal form. Where P is defined by: A  bAA | aS | a B aBB | bS | b
  • b
    Design a CFG for the following language:
    (i) L= {0m 1n | m ≠ n & m, n>=1}
    (ii) L= {ap bq cr  | p + q = r & p, q > = 1}
  • a
    Construct PDA equivalent to the following CFG G = ({S, A}, {0,1 }, P, S}
    where P is defined by
  • b
    Find the equivalent CFG of the following PDA P = ({q0, q1,}, {a, b}, {a, z0}, δ, q0, z0) where δ is given by
  • a
    Construct Turing Machine that accepts language L={ 𝑎ଶ௡𝑏௡ | n > = 1 } . A l s o show the instantaneous description for the string w = aaaabb
  • b
    Explain the any two of the following: i. Universal Turing Machine. ii. Post Correspondence Problem. iii. Recursive and recursively Enumerable Languages

Question text is extracted from the official AKTU question paper PDF above. Hindi translations are omitted — every question is printed in English in the original paper. Last verified: 2026-08-23.

Repeated Questions — BCS402

Questions that appeared in more than one session, found by comparing 3 years of Theory Of Automata And Formal Languages papers (2023-24, 2024-25, 2025-26)

2x

Construct a DFA corresponding to the following NFA with 𝛜 moves

Appeared in: 2023-24 · 2024-25

2x

Express in the minimum state automata equivalent to DFA described in below figure

Appeared in: 2023-24 · 2024-25

Theory Of Automata And Formal Languages — Other Year Papers

AKTU Theory Of Automata And Formal Languages PYQs from other sessions