Match the LIST-I with LIST-II LIST-I LIST-II A. Type - 0 grammar I. Linear…

2025

Match the LIST-I with LIST-II
LIST-I LIST-II

A. Type - 0 grammar I. Linear Grammar

B. Type - 1 grammar II. GNF

C. Type - 2 grammar III. x → y,

D. Type - 3 grammar IV. Recursively Enumerable
Choose the correct answer from the options given below:

  1. A.

    A-I, B-II, C-III, D-IV

  2. B.

    A-II, B-I, C-III, D-IV

  3. C.

    A-III, B-II, C-IV, D-I

  4. D.

    A-IV, B-III, C-I, D-II

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Correct answer: D

Key facts (Chomsky Hierarchy)

  • Type–0 Grammar → Unrestricted grammar → generates Recursively Enumerable languages

  • Type–1 Grammar → Context Sensitive Grammar → rules of the form x → y (with |y| ≥ |x|)

  • Type–2 Grammar → Context Free Grammar → can be written in Greibach Normal Form (GNF)

  • Type–3 Grammar → Regular Grammar → Linear Grammar

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