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Bookmark or Share- computability - Is this undecidable language recognizable ...Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
- 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.
- Non-Turing Recognisable Languages - Mathematics Stack ExchangeConcretely, $\mathcal{H}^c = \{ \langle M, x \rangle ~|~ M \text{ codes a Turing machine which _doesn't_ halt on input } x \}$ is not recognizable. As for what some properties of these languages would be, it becomes harder and harder to say as we move up the complexity hierarchy.
- Showing that Turing-recognizable languages are closed under unionI'm reading "Theory of Computation" by Michael Sipser and I've encountered a solution (provided by the book) that I don't understand. The question: Show that the collection of Turing-recognizable
- 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} 
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