Question: 5. [8 pt] (a) When do we call a language L (according to our definition) recursively enumerable? (b) Let L1, L2 be two languages. If

5. [8 pt] (a) When do we call a language L (according to our definition) recursively enumerable?

(b) Let L1, L2 be two languages. If the following statement is true: If L1 L2 and L2 is recursively enumerable, then L1 is also recursively enumerable. If so, describe how a Turing machine works for L1. If not, give a counterexample of two languages L1 and L2 with L1 L2, for which L2 can be enumerated recursively and L1 is not.

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