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a) What language is accepted by the Turing machine d(%-a)-(%-a, R), d(%-a)-(9-a, R). (5) Design a...
(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.
Automata, Languages, and Computation Design a Turing machine that recognizes the language For example, 0$01 e L, 10$010 E L, but 100810101乒L. Describe the High Level algorithm informally and define the corresponding Turing Machine in details. Design a Turing machine that recognizes the language For example, 0$01 e L, 10$010 E L, but 100810101乒L. Describe the High Level algorithm informally and define the corresponding Turing Machine in details.
Specify in detail a (deterministic) a Turing machine that accepts the language L = a* ba* (your Turing machine must halt on input w if, and only if, w € L). Remember: since your machine is deterministic, it must have a well-defined behavior for any possible symbol of the input alphabet, i.e, a, b, and #, in each state, except that you only need to ensure that your Turing machine behaves correctly when started in the configuration (s, #w#). Thus,...
What is the language of accepted strings by the below Turing machine? {a*b*} {ambn | m, n ≥ 0} {ambm | m ≥ 0} {ambnam | m, n ≥ 0} This Turing machine is non-deterministic, so it cannot accept a deterministic language. ( R) go 9 q 93 (9,X, R) (91a, R) (qa, a, L) (hra, R) (h. b, R) (92. y, L) Ø (h. 6, R) 0 0 (qox, R) 0 (93, y, R) (. y, R) (92 y,...
That is all that was given. Given the following Turing machine, what is the language accepted? You may assume qo is the start state. a>R UR
Automata: solve a - e 2. (10+10+10+10+10-50 points) Agrammar is a 4-tuple G, G-ON,E,11,L$) where N is a finite set of nonterminal symbols Σ is a finite set of terminal symbols is a finite set of rules S is the starting symbol Let N- (S, T s-{a, b, c} s-> ab aT >aaTb aT-ac S is the starting symbol. (a 10 points) Prove that the given grammar G is a context sensitive grammar. (b-10 points) What is the language L-...
s S s 1 S S 2. (10 Points) We wish to construct a Turing Machine M (Q,E,F, 8, 8, qaccept, Greject) that decides the language L = {W € {0,1}* ||w| > 2 and w ends in 00 or in 01}. We choose Q = {s, 41, 42, Gaccept, Greject}, { = {0,1}*, T = EU{-} and the transitions: 0 0 R 1 R 91 L 0 L 42 L 91 Greject R 42 0 Paccept 0 R 92...
Turing Machines - Models of Language and Computation 8. (7 points) Consider the deterministic Turing machine M (s, t, h), includes fa, b, u) and possibly other symbols, H following rules, along with possibly other rules: (K, Σ, δ, s,H), where K (h), and includes the 6(s,凵) = (t,-) δ(t, a) = (t,-) 6(r,L) = (h, a) Here凵represents a blank. Suppose M is started in the configuration 凵aababaa in the start state with the read write head scanning the blank...
Automata and Computability Problems Please check my work. Make necessary edits/corrections to my work. Please add more detail to number 2 for better understanding :) 1. Give a context-free grammar (CFG) for each of the following languages over the alphabet = (a, b): (a) All nonempty strings that start and end with the same symbol. 2. Answer each part for the following context-free grammar. I. II. III. IV. V. R> XRXS S -ать | bТа T → XTX | X...
I'm not sure how to answer this problem. Can someone help me with this. thanks 5. Let M be the Turing machine BIBR 9 9 ala R a) Give a regular expression for L(M. b) Using the techniques from Theorem 10.1.3, give the rules of an unrestricted gram- mar G that accepts L(M. c) Trace the computation of M when run with input bab and give the corresponding derivation in G. 5. Let M be the Turing machine BIBR 9...