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Bookmark or Share- determining recognizable or decidable (TM that accepts a TM)recognizable or neither. The specific languages I'm referring to are of the following form L = {
| for every w, M accepts w after at most |w|/2 steps} L = { | for every w, M accetps w after at most X steps} L = { | for every w, M accepts w after at least X steps} L = { | there is no input which M terminates in fewer than X steps} - Why is "decidable" included in "Turing-recognizable"?Turing-recognizable languages are languages whice are accepted by a Turing machine; decidable languages are languages for which a Turing machines halts, i.e. either accepts or rejects, but never loops. This would make me think that decidable languages include Turing-recognizable languages, and not viceversa.
- Recognizable vs Decidable - Mathematics Stack ExchangeA language is Recognizable iff there is a Turing Machine which will halt and accept only the strings in that language and for strings not in the language, the TM either rejects, or does not halt at all. Note: there is no requirement that the Turing Machine should halt for strings not in the language.
- Why is showing a language is Turing recognizable trickier than showing ...With Turing Recognizable, if it checks if a string is in A and doesn't find it for 1000 years, it still may come up a second after it 'gives up' and goes to Turing Machine B, so its not really tricky, it is just doing what it is supposed to do, which is run for as long as it needs to.
- Simple concrete example of a language that is Turing recognizable but ...The set of string encodings of instances of the Post Correspondence Problem that have matches is a language that is recognizable but not decidable, as discussed in Sipser's Introduction to the Theory of Computation, Third Edition, chapter 5, pages 227-233. The discussion includes a proof of undecidability by reduction from the language of ...
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