Question: Closure properties of Turing-recognizable languages 10 points]Prove that the class of Turing-recognizable languages is closed under concatenation. Hint:This is similar to the previous problem but

Closure properties of Turing-recognizable languages 10 points]Prove that the class of

Closure properties of Turing-recognizable languages 10 points]Prove that the class of Turing-recognizable languages is closed under concatenation. Hint:This is similar to the previous problem but now you have the issue that the TMs Mi or M2 may not halt on some division of w into z and y, but will halt and accept on some other division. Have M first write down all of the possible splits and then simulate M and M2 on each of the possible z and y in "parallel" by performing one step of the simulation of each TM at a time.] Closure properties of Turing-recognizable languages 10 points]Prove that the class of Turing-recognizable languages is closed under concatenation. Hint:This is similar to the previous problem but now you have the issue that the TMs Mi or M2 may not halt on some division of w into z and y, but will halt and accept on some other division. Have M first write down all of the possible splits and then simulate M and M2 on each of the possible z and y in "parallel" by performing one step of the simulation of each TM at a time.]

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