Turing machines that accept every string

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Question: For any language A ⊆ Σ∗, define LA = ?M ? : A ⊆ L(M ) to be the language of all (encodings of) Turing machines that accept every string in A (and might also accept other strings).

(a) Give, with proof, the (unique) language A ⊆ Σ∗ for which LA is decidable.

(b) Prove that, for any A ⊆ Σ∗ except for the one you gave in part (a), LA is undecidable

Reference no: EM133369765

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