Question: 2. Let be the class of computably enumerable (ce.) sets. Prove the following: (a) & is closed under union and intersection (b) & contains all

2. Let be the class of computably enumerable (ce.) sets. Prove

2. Let be the class of computably enumerable (ce.) sets. Prove the following: (a) & is closed under union and intersection (b) & contains all the finite sets and cofinite sets of natural numbers. (c) If B E and g is a total computable function theng(B) E . and g(B) E 2. Let be the class of computably enumerable (ce.) sets. Prove the following: (a) & is closed under union and intersection (b) & contains all the finite sets and cofinite sets of natural numbers. (c) If B E and g is a total computable function theng(B) E . and g(B) E

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