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Questions about Turing machines, a theoretical model of mechanical computation capable of simulating any computer program.

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Reduction from $HALT$ to $A_{TM}$

Your solution looks correct. I have a concern that since we have assumed a decider for ATM, so M will either accept any word 'w' or reject it; in either case our constructed decider for HaltTM would o …
harshchy2210's user avatar
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Is the Rice Theorem applicable for these problems?

Just a rule of thumb:- Rice's theorem concerns properties of languages, not the Turing machines. Consider property P as the set of some R.E. languages, P is nontrivial if it does not contains all R.E. …
harshchy2210's user avatar