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4. (15 MARKS) For each of the following operations, give a high-level explanation of why the decidable languages are closed u

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Answer:

Concatenation:-

a) The proof for decidable languages is closed under Concatenation.

Let L1 and L2 be two Turing Decidable languages. Given an input w, use non deterministic and a partition w(say w = xy). Now run the respective Turing machines of L1 and L2

on x and y respectively. If both accepts then accept else reject.

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