Solution

The correct answer is A - IV, B - III, C - I, D - II

Key Points

• A. A → aB ∣ a, a ∈ T, A, B ∈ V.
  • This represents a rule in a context-free grammar where A can be replaced by either 'aB' or 'a'.
  • This type of rule is suitable for Finite Automata.
  • Correct match: IV. Finite Automate
• B. A → BC ∣ a, a ∈ T, A, B, C ∈ V
  • This represents a rule in a context-free grammar where A can be replaced by 'BC' or 'a'.
  • This type of rule is suitable for Chomsky Normal Form.
  • Correct match: III. Chomsky Normal Form
• C. LL (1) grammar
  • LL(1) grammar is a type of context-free grammar that can be parsed by a recursive descent parser.
  • Correct match: I. Recursive Descent Parser
• D. Halting problem
  • The Halting problem is a decision problem about whether a given program will finish running or continue to run forever.
  • This problem is associated with Turing Machines.
  • Correct match: II. Turing Machine

Therefore, the correct answer is: A - IV, B - III, C - I, D - II