Question

Give examples of the following sets (languages): a. A set (language) that is Turing-recognizable but not...

Give examples of the following sets (languages):

a. A set (language) that is Turing-recognizable but not decidable

b. A set (language) that is decidable but not context-free

c. A set (language) that is context-free but not regular

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Answer #1

a) ATM={<T,w>|M is a TM wbelongs to L(M)}. is language which is not decidable but can be accepted by TM

b) L={0n1n2n|n>=0} this should have 2 memories and PDA will have 1 stack memory, so this language cannot be accepted by PDA ==> this is not CFL

c) L={0n1nn>=0} Here 1 memory element should have and regular languages accepted m/c will not havememoriy, so this is not regular

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