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Theory of Computation We begin with some mathematics regarding uncountability. Let N = {0, 1, 2, 3, . . .} denote the set of natural
Theory of Computation
We begin with some mathematics regarding uncountability. Let N = {0, 1, 2, 3, . . .} denote the set of natural numbers.
(a)Prove that the set of binary numbers has the same size as N by giving a bijection between the binary numbers and N.
(b)Let B denote the set of all infinite sequences over the English alphabet. Show that B is uncountable using a proof by diagonalization.
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