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Which of the problems are unsolvable?

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in Automata Theory by (51.1k points)
Which of the problems are unsolvable?

(a) Halting problem

(b) Boolean Satisfiability problem

(c) Both (a) and (b)

(d) None of the mentioned

The question was asked in an interview for internship.

The doubt is from The Language of Turing Machine in portion Introduction to Turing Machines of Automata Theory

1 Answer

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The correct answer is (c) Both (a) and (b)

For explanation I would say: Alan turing proved in 1936 that a general algorithm to solve the halting problem for all possible program-input pairs cannot exist.

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