a) Given a Turing machine M with an input string w, describe a TM M 1 with the property that M accepts w if only if M 1 accepts 0 (To describe M 1, consider an arbitrary input string x say how M 1 operates on x Thus, description of M 1 should begin with M 1 on input x b) What does part (a) imply about the language L M 1 is a TM that accepts 0

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Question: a) Given a Turing machine M with an input string w, describe a TM M 1 with the property that M accepts w if &

a) Given a Turing machine M with an input string w, describe a TM M₁ with the property that M accepts w if & only if M₁ accepts 0. (To describe M_1,consider an arbitrary input string x & say how M₁ operates on x. Thus, description of M₁should begin with: "M₁ on input x: .... ". b) What does part (a) imply about the language L = { 1 > | M₁is a TM that accepts 0}.

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