(a) Turing Machines can easily be designed to recognize regular languages. Construct either a Turing Machine...
(a) Turing Machines can easily be designed to recognize regular languages. Construct either a Turing Machine that accepts the language denoted by the regular expression 0^*1 for the alphabet Σ = {0, 1}. Choose a random string in the language and trace through it (step by step) using your machine
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(a) Turing Machines can easily be designed to recognize regular
languages. Construct either a Turing Machine...
determine if the language is regular, context-free, Turing-decidable, or undecidable. For languages that are regular, give...
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...
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...
40 points) Please design a Turing machine T to recognize the union of the languages of two Turing...
40 points) Please design a Turing machine T to recognize the union of the languages of two Turing machines Mi and M2. That is, T accepts an input string w, if and only if either Mi or M2 or both accept string w. Please describe the high-level idea (or algorithm) of your Turing machine T. You do not need to draw the low-level state transition diagram of your Turing machine. Note that the difficulty is that Mi or M2 may...
Construct a Turing Machine (TM) that accepts the following language, defined over the alphabet Σ =...
Construct a Turing Machine (TM) that accepts the following language, defined over the alphabet Σ = {0,1): at accepts the tollowing language, define [10] Give the transition diagram and explain the algorithm implemented by your TM.
The UTM (universal Turing machine) operates with a fixed alphabet. We claim that the UTM can...
The UTM (universal Turing machine) operates with a fixed alphabet. We claim that the UTM can simulate any Turing machine, but the Turing machine (to be simulated) may have an input alphabet Σ (for example the Greek alphabet) and an output alphabet Ω (for example the English alphabet) which are different than the UTM’s alphabet. 1 Explain how a string over Σ can be converted to a string over the UTM’s alphabet, a process we can call CODING. 2 Explain...
Construct DFA's that recognize the following languages over the alphabet {a,b}: 1. {w|w is any string...
Construct DFA's that recognize the following languages over the alphabet {a,b}: 1. {w|w is any string except abba or aba}. Prove that your DFA recognizes exactly the specified language. 2. {w|w contains a substring either ababb or bbb}. Write the formal description for this DFA too.
Construct Turing machines that will accept the following languages on {a, b}:
8. Construct Turing machines that will accept the following languages on \(\{\mathrm{a}, \mathrm{b}\}\)
(c) \(L=\{w:|w|\) is a multiple of 4\(\}\).
(g) \(L=\left\{a^{n} b^{n} a^{n} b^{n}: n \neq 0\right\}\).
(h) \(\left.L=a^{n} b^{2 n}: n \geq 1\right\}\).
please answer a,b, and c Consider the following Turing Machine. M = “On input hA,Bi where...
please answer a,b, and c Consider the following Turing Machine. M = “On input hA,Bi where A and B are DFAs: 1. Iterate through strings in Σ∗ in shortlex order; where Σ represents the common symbols of their input alphabets. For each string iterated, simulate both A and B on it. 2. If a string is ever encountered that both A and B accept, then accept.” (a) (2 points) Give a description, in English, of the language that M recognizes....
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 The...
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...
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...
40 points) Please design a Turing machine T to recognize the union of the languages of two Turing machines Mi and M2. That is, T accepts an input string w, if and only if either Mi or M2 or both accept string w. Please describe the high-level idea (or algorithm) of your Turing machine T. You do not need to draw the low-level state transition diagram of your Turing machine. Note that the difficulty is that Mi or M2 may...
Construct a Turing Machine (TM) that accepts the following language, defined over the alphabet Σ = {0,1): at accepts the tollowing language, define [10] Give the transition diagram and explain the algorithm implemented by your TM.
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...
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