This is a submission for DEV Computer Science Challenge v24.06.12: One Byte Explainer.

Explainer

Is this loop actually infinite, or will it eventually finish? In 1936, Alan Turing used his Machine to show we can’t know. Consider a program that checks if it stops and if true: loops forever. A paradox! Some problems are literally impossible: avoid them.

Additional Context

For interest, here is the paradox:

• If the halting check is true, then the program loops forever… even though the check says it halts.

• If the halting check is false, then the program stops… even though the check says it never halts.

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