Give a unary language (using only input alphabet ∑={1} )that is not Turing- recognizable and prove that statement.
Give a unary language (using only input alphabet ∑={1} )that is not Turing- recognizable and prove...
Prove that A is Turing-recognizable if and only if A ≤m ATM.
Give examples of the following sets (languages): a. A set (language) that is Turing-recognizable but not decidable b. A set (language) that is decidable but not context-free c. A set (language) that is context-free but not regular
Specify a Turing machine with input alphabet Σ = {a, b} that recognizes the language L = { ww | w ∈ Σ ∗}. Is L decidable?
Classify the language { (G) | G is a CFG, L(G) contains a palindrome}\ as (a) decidable (b) Turing-recognizable but not co-Turing recognizable (c) co-Turing recognizable but not Turing-recognizable (d) neither Turing nor co-Turing recognizable Justify your answer
Give the implementation-level description of a Turing machine that decides the following language over the alphabet a, b, c^. You are encouraged but not required to use a multi- tape and/or nondeterministic Turing Machine. Lan n s a positive integer )
2. Suppose a language is decidable. • Prove the language is recognizable. • Prove the language’s complement is also recognizable.
determine if the language is regular, context-free, Turing-decidable, or undecidable. For languages that are regular, give a DFA that accepts the language, a regular expression that generates the language, and a maximal list of strings that are pairwise distinguishable with respect to the language. For languages that are context-free but not regular, prove that the language is not regular and either give a context- free grammar that generates the language or a pushdown automaton that accepts the language. You need...
determine if the language is regular, context-free, Turing-decidable, or undecidable. For languages that are regular, give a DFA that accepts the language, a regular expression that generates the language, and a maximal list of strings that arc pairwise distinguishable with respect to the language. For languages that are context-free but not regular, prove that the language is not regular and either give a context- free grammar that generates the language or a pushdown automaton that accepts the language. You need...
Show that every infinite Turing-recognizable language is the range of some one-to-one computable function.
(a) Give a high level description of a single-tape deterministic Turing machine that decides the language L = {w#x#y | w ∈ {0, 1} ∗ , x ∈ {0, 1} ∗ , y ∈ {0, 1} ∗ , and |w| > |x| > |y|}, where the input alphabet is Σ = {0, 1}. (b) What is the running time (order notation) of your Turing machine? Justify your answer.