Theory of computation question . Classification: Computability (S22) Classify the following languages as below, and justify your answer: (RE) recursive enumerable (r.e.), (CO-RE) co-r.e. (i.e. the complement is r.e.),

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Theory of computation question
. Classification: Computability (S22)
Classify the following languages as below, and justify your answer:
(RE) recursive enumerable (r.e.),
(CO-RE) co-r.e. (i.e. the complement is r.e.),
(BOTH) both r.e. and co-r.e., or
(NEITHER) neither r.e. nor co-r.e.
Note this means showing two things each: L is r.e. or not, and L is r.e. or not.
а. L
{M#x#y| M halts on x and loops on y}
b. L=
{M#x#y| M_accepts x and rejects y}
Transcribed Image Text:Theory of computation question . Classification: Computability (S22) Classify the following languages as below, and justify your answer: (RE) recursive enumerable (r.e.), (CO-RE) co-r.e. (i.e. the complement is r.e.), (BOTH) both r.e. and co-r.e., or (NEITHER) neither r.e. nor co-r.e. Note this means showing two things each: L is r.e. or not, and L is r.e. or not. а. L {M#x#y| M halts on x and loops on y} b. L= {M#x#y| M_accepts x and rejects y}
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