Consider the following problems. L(?) denotes the language generated by a grammar ?. L(?) denotes the language accepted by a machine ?. (I) For an unrestricted grammar ? and a string ?, whether ? ∈ (?) (II) Given a Turing machine M, whether L(M) is regular (III) Given two grammars ?1 and ?2, whether (?1) = (?2) (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 statements is correct?

Consider the following problems. L(?) denotes the language generated by a grammar ?. L(?) denotes the language accepted by a machine ?. (I) For an unrestricted grammar ? and a string ?, whether ? ∈ (?) (II) Given a Turing machine M, whether L(M) is regular (III) Given two grammars ?1 and ?2, whether (?1) = (?2) (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 statements is correct? Correct Answer Only I, II and III are undecidable

Membership algorithm does not exist for unrestricted grammars.

Regularity problem for TM is undecidable.

Equivalence of Two grammar is undecidable.

Every NFA is a PDA with a finite memory.

Related Questions

Which among the following options are correct? Statement 1: TMs can accept languages that are not accepted by any PDA with one stack. Statement 2: But PDA with two stacks can accept any language that a TM can accept.