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Consider alphabet = { 0 , 1 } . Prove or disprove that for all languages L 1 , L 2 , L over ,

Consider alphabet $= {0, 1} .$ Prove or disprove that for all languages $L_{1}, L_{2}, L$ over $,$ if $L_{1} s u b e L s u b e L_{2}$ and $L_{1}, L_{2}$ are Turing recognizable, then $L$ is Turing recognizable.

To disprove this statement, consider $L_{1} = \frac{O}{,} L_{2} =^{* *}, L = A_{d} .$

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Consider alphabet = { 0 , 1 } . Prove or disprove that for all languages L 1 , L 2 , L over ,

Consider alphabet ={0,1}. Prove or disprove that for all languages L1,L2,L over , if L1subeLsubeL2 and L1,L2 are Turing recognizable, then L is Turing recognizable. To disprove this statement, consider L1=O,L2=**,L=Ad.

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Consider alphabet $= {0, 1} .$ Prove or disprove that for all languages $L_{1}, L_{2}, L$ over $,$ if $L_{1} s u b e L s u b e L_{2}$ and $L_{1}, L_{2}$ are Turing recognizable, then $L$ is Turing recognizable.

To disprove this statement, consider $L_{1} = \frac{O}{,} L_{2} =^{* *}, L = A_{d} .$