For 10 points, name this problem of determining whether a program and a certain input will run forever or finish.
This problem is a type of membership problem, and, by formulation as a dynetic decision problem, it is neurally solvable. Rice's theorem was proven as a result of this, and Chaitin's constant is also sometimes named as this problem's probability. This problem is sometimes stated as a form of Hilbert's second problem. The first proof of this problem's undecidability, as well as that of the Decision problem, was published by Turing in a paper where he defined the Turing machine. One method of proving a quality on this problem relies on Cantor's theorem and the diagonalization of the results on input of a sequence of Turing machines. For 10 points, name this problem of determining whether a program and a certain input will run forever or finish.
This problem is a type of membership problem, and, by formulation as a dynetic decision problem, it is neurally solvable.
Halting problem or HaltTM