Question: Given languages A, B and C over {0,1}, let Q(A, B, C, D) = {w {0, 1}*| (w A & w C ) & (w

Given languages A, B and C over {0,1}, let Q(A, B, C, D) = {w {0, 1}*| (w A & w C ) & (w B & w D)}. Show that that the set of Turing-decidable languages is closed under Q, but that the set of Turing-recognisable languages is not closed under Q.

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