non-computable

the halting problem is a classic example of a non-computable function.

some mathematical problems are inherently non-computable, regardless of the algorithm.

rice's theorem demonstrates that determining if a program halts is non-computable.

the problem of determining if a set is countable is non-computable.

gödel's incompleteness theorems imply the existence of non-computable statements.

the problem of finding a non-computable function is itself non-computable.

we explored the implications of non-computable functions in theoretical computer science.

the question of whether p=np is related to the existence of non-computable solutions.

the concept of non-computable functions highlights the limits of algorithmic solutions.

many problems involving the halting problem are inherently non-computable.

the search for a general solution to a non-computable problem is futile.