# Are Turing unrecognizable and undecidable languages, recognized and decided by hyper computation?

Do the hyper computing machines/models that are supposed to be more powerful than Turing machines, capable of recognizing and deciding the languages that are not recognizable/decidable by Turing machines?

• Most hypercomputing machines are more powerful than Turing machines by definition--and only by definition. – Mars Jan 7 '20 at 22:52

No for any reasonable definition of a "model of computation", because the set $$\mathrm{ALL} \setminus \mathrm{R}$$ of all languages not decidable by a Turing machine is an uncountable set. So for almost every undecidable language, there is no way to write down a program that decides that language, no matter how powerful your model of computation is, as long as you require programs to be written using a finite number of symbols.