Question: 3. (30 pts) Express the following problems as languages, and then show that they are undecidable using map reduction and the known undecidable problem ATM

3. (30 pts) Express the following problems as languages, and then

3. (30 pts) Express the following problems as languages, and then show that they are undecidable using map reduction and the known undecidable problem ATM (a) HelloWorldTM: determine whether a given TM halts on the input string "Hello" and loops on the input string "World" (b) PALINDROMETM: determine whether a given TM rejects all palindromes over the alphabet 0, 1, a, b 3. (30 pts) Express the following problems as languages, and then show that they are undecidable using map reduction and the known undecidable problem ATM (a) HelloWorldTM: determine whether a given TM halts on the input string "Hello" and loops on the input string "World" (b) PALINDROMETM: determine whether a given TM rejects all palindromes over the alphabet 0, 1, a, b

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