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- Dictionaryrecognizable/ˌrɛkəɡˈnʌɪzəbl/
adjective
- 1. able to be recognized or identified from previous encounters or knowledge: "there was no recognizable photograph of him"
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Mar 8, 2011 · Def : A Language is called Turing Recognizable if some Turing Machine recognizes it. Now, consider a Turing Machine M M and a language L L (over input alphabet Σ Σ) that is recognized by M M. Thus, L L is a Turing Recognizable Language (since the TM M M recognizes it). Consider the set of strings that are not in L L (we call it L¯¯¯¯ L ¯).
Nov 9, 2021 · Learn how to prove that the projection of a decidable language is also Turing-recognizable with a detailed answer and examples.
Dec 18, 2015 · $\begingroup$ Don't know about hangs, that is an unnecessary concept. Turing decidable means it halts in an accepting state if the input word is in the language, and halts in a rejecting state if the word is not in the language, Turing recognizable means it halts in an accepting state if the word is in the language, and in a rejecting state or fails to halt if the word is not in the language.
It has been shown that L L and L¯ L ¯ is not c.e. The basic idea is: The set K = { M : M( M ) halt } K = { M : M ( M ) halt } is recognizable but not decidable. Hence its complement K¯ = { M : M( M ) does not halt} K ¯ = { M : M ( M ) does not halt} is not recognizable. Let Mx M x denote the Turing machine with code x x.
Jan 31, 2016 · 2. Construct a Turing machine that checks it is a a s followed by b b s and by c c s, if not, reject. Go back to the beginning, cross out an a a, a b b and a c c, and start over at the beginning. If no uncrossed symbols remain, accept. As it is accepted by the Turing machine outlined, the language is Turing recognizable. Share.
Aug 21, 2021 · According to my understanding: 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.
Is the union of undecidable languages not Turing-recognizable? 0 I understand Turing Machine things about languages but I don't understand same things about problems and their inputs
Apr 27, 2022 · I was reviewing for an exam and I found this question: Let A and B be two disjoint languages (that is, A ∩ B = ∅). Say that a language C separates A and B iff A ⊆ C and B ⊆ (not C) . Define two disjoint languages by. A = { M,w : M is a TM and M accepts w} B = { M,w : M isaTMandM rejects w}
Feb 25, 2019 · 1. We know that if a language L L is decidable, then the complement L¯¯¯¯ L ¯ is also decidable, since we can simply reverse the accept and reject conditions in the Turing machine deciding L L. Furthermore, if L1 L 1 and L2 L 2 are decidable languages, then their intersection L1 ∩L2 L 1 ∩ L 2 is decidable, since we can accept if both ...
Dec 6, 2022 · If y ∈ Σ∗ ∖ L y ∈ Σ ∗ ∖ L, then if L ⊆Σ∗ L ⊆ Σ ∗ is decidable, then M M rejects y y, therefore y ∉ L(M) y ∉ L (M). However dom(f) = Σ∗ d o m (f) = Σ ∗ so it holds that L(M) ≠ dom(f) L (M) ≠ d o m (f) and therefore IL I L is not computable. And i get he same problem for the implication "from right to left ...
