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The undecidability of halting problem for Turing machines implies that a it is impossible to write a program that will decide for every program if

The undecidability of halting problem for Turing machines implies that
a it is impossible to write a program that will decide for every program if it halts for given data
b you must use your brain to solve the problem if the program halts for given data
c each problem to which the halting problem is reduced is undecidable

not only one can be correct

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