👉 A haltingly defined function is a function that has the property of being defined for all possible inputs, but it does not halt when given any input. This means that while the function can produce results, it will never return a result that cannot be computed using a different algorithm or programming language. Examples of haltingly defined functions include those that have a fixed number of arguments and do not change their value on its own, as well as those that are undefined for all inputs.
