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.
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Feb 20, 2025