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As a basic introduction to decidability, I have been asked to think about these two questions and would like your help:
E* = Sigma Star e = epsilon
1.) Let ALLDFA = {<A> is DFA and L(A) = E*} Show that ALLDFA is decidable.
For this, sense the language of A is in the set of all languages, would showing this just involve making a DFA of one state that accepts everything? I am not sure how to show this.
2.) Let AeCFG = {<G> if CFG that generates e}. Show that AeCFG is decidable.
For this, isn't there a theorem that says that ALL CFG's are decidable?
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