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

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

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