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GATE | GATE CS 2018 | Question 50

Consider the following problems. L(G) denotes the language generated by a grammar G. L(M) denotes the language accepted by a machine M. (I) For an unrestricted grammar G and a string w, whether wϵL(G) (II) Given a Turing machine M, whether L(M) is regular (III) Given two grammar G1 and G2, whether L(G1) = L(G2) (IV) Given an NFA N, whether there is a deterministic PDA P such that N and P accept the same language Which one of the following statement is correct?

(A)

Only I and II are undecidable

(B)

Only II is undecidable

(C)

Only II and IV are undecidable

(D)

Only I, II and III are undecidable

Answer

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