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Questions concerning the Halting problem which is to decide whether a given a program halts on a given input.

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Prove that there exists a machine which decides an infinite subset of halting problem

We already know that $H:=\{\langle M,w\rangle | M$ halts on $w\}$ is undecidable, then how can there possibly be a machine that decides any infinite subset of $H$?
Sid Caroline's user avatar