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Theory of Automata and Formal Languages (BCS402) AKTU predicted paper 2026-27

AI-predicted paper for Theory of Automata and Formal Languages based on 6 past papers (2018, 2019, 2022, 2023, 2024, 2025). NOT an official AKTU paper. Use as a revision tool only.

Paper pattern

  • Section A: Attempt all questions. (14 marks)
  • Section B: Attempt any THREE questions out of five. (21 marks)
  • Section C: Attempt ONE question from each pair (a or b). (35 marks)

Why these questions

  • Unit 2 (Regular Expressions and Languages) dominates — 23% avg weightage
  • Asked every year: Non Deterministic Finite Automaton, Minimization of Finite Automata
  • Due for comeback: Chomsky Hierarchy, Pumping Lemma for CFL
  • Low priority (never asked): Recursive Function Theory
  • Most repeated topic: Context Free Grammar

Section A – 2-mark questions

  • Differentiate between DFA and NFA.
  • State Arden's Theorem.
  • What is the ambiguity in Context-Free Grammars (CFGs)?
  • Draw the graphical representation for PDA.
  • Explain Halting Problem of Turing Machine.
  • Write a short note on Pumping Lemma for Regular Languages.
  • Write a short note on Minimization of Finite Automata.

Section B – sample questions

  • Prove using Arden's Theorem the regular expression for the following transition diagram: States: A (start), B (final). Transitions: A --a--> A, A --b--> B, B --a--> B
  • Discuss Post's Correspondence Problem (PCP) with an example showing undecidability.
  • Using Pumping Lemma, show that the language L = {aⁿbⁿcⁿ | n ≥ 0} is not regular.