Rice's theorem, stating that only trivial properties of programs are algorithmically decidable, can be proved by referring to this problem, which is solvable for machines with less than four states.
Rice's theorem, stating that only trivial properties of programs are algorithmically decidable, can be proved by referring to this problem, which is solvable for machines with less than four states. It was intro-duced in the paper "On computable numbers, with an application to the Entscheidungsproblem," in which Turing reduced the Entscheidungsproblem to this statement, the first explicit example of an undecidable decision problem. FTP, name this generally undecidable problem of determining whether a given algorithm acting on a given input will run forever or stop.
Rice's theorem, stating that only trivial properties of programs are algorithmically decidable, can be proved by referring to this problem, which is solvable for machines with less than four states.
halting problem