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Draw the transition graph of a Standard Turing Machine (TM) that accepts the language: L =...
Question 1 10 pts Draw the transition graph of a Turing Machine (TM) that accepts the...
Question 1 10 pts Draw the transition graph of a Turing Machine (TM) that accepts the language: L = {aw: w € {a,b}" } U{(bb)" ac: n > 3 and n is divisible by 3} Write the sequence of moves done by the TM when the input string is v= abbca. Is the string v accepted?
Let sigma = {a, b, c}. Draw the transition graph of a npda that accepts the...
Let sigma = {a, b, c}. Draw the transition graph of a npda that accepts the following language: L = {c(ab)^n a^m c^n: n greaterthanorequalto 1, m greaterthanorequalto 0} Write the sequence of moves done by the npda when the input sequence is w = cabc. Is the string w accepted?
QUESTION 5 Let Σ = {a, b, c}. Draw the transition graph of a NPDA that...
QUESTION 5 Let Σ = {a, b, c}. Draw the transition graph of a NPDA that accepts the following language: L = { amcna(ba)n : n ≥ 1, m ≥ 0 } Write the sequence of moves done by the NPDA when the input sequence is w = caba. Is the string w accepted?
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.
Show that the language A = {<M1> | the language accepted by the Turing Machine M1...
Show that the language A = {<M1> | the language
accepted by the Turing Machine M1 is 1*} is
not decidable. Present your proof in the style of the proof of Th.
5.3, which shows below.
PROOF We let R be a TM that decides REGULARTm and construct TM S to decide ATM. Then S works in the following manner. S - "On input (M, w), where M is a TM and w is a string: 1. Construct the following...
Specify in detail a (deterministic) a Turing machine that accepts the language L = a* ba*...
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,...
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...
Let Show that L is undecidable L = {〈M) IM is a Turing Machine that accepts w whenever it accepts L = {〈M) IM is a Turing Machine that accepts w whenever it accepts
Let Show that L is undecidable L = {〈M) IM is a Turing Machine that accepts w whenever it accepts L = {〈M) IM is a Turing Machine that accepts w whenever it accepts
3. Let L= {MM is a Turing machine and L(M) is empty), where L(M) is the...
3. Let L= {MM is a Turing machine and L(M) is empty), where L(M) is the language accepted by M. Prove L is undecidable by finding a reduction from Arm to it, where Arm={<M,w>| M is a Turing machine and M accepts w}
3.(4 4+20-36 points Formal Definition of a Turing Machine (TM) ATM M is expressed as a...
3.(4 4+20-36 points Formal Definition of a Turing Machine (TM) ATM M is expressed as a 7-tuple (Q, T, B, ? ?, q0,B,F) where: . Q is a finite set of states T is the tape alphabet (symbols which can be written on Tape) .B is blank symbol (every cell is filled with B except input alphabet initially .2 is the input alphabet (symbols which are part of input alphabet) is a transition function which maps QxTQxTx (L, R :...
Question 1 10 pts Draw the transition graph of a Turing Machine (TM) that accepts the language: L = {aw: w € {a,b}" } U{(bb)" ac: n > 3 and n is divisible by 3} Write the sequence of moves done by the TM when the input string is v= abbca. Is the string v accepted?
Let sigma = {a, b, c}. Draw the transition graph of a npda that accepts the following language: L = {c(ab)^n a^m c^n: n greaterthanorequalto 1, m greaterthanorequalto 0} Write the sequence of moves done by the npda when the input sequence is w = cabc. Is the string w accepted?
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.
Show that the language A = {<M1> | the language
accepted by the Turing Machine M1 is 1*} is
not decidable. Present your proof in the style of the proof of Th.
5.3, which shows below.
PROOF We let R be a TM that decides REGULARTm and construct TM S to decide ATM. Then S works in the following manner. S - "On input (M, w), where M is a TM and w is a string: 1. Construct the following...
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,...
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...
3. Let L= {MM is a Turing machine and L(M) is empty), where L(M) is the language accepted by M. Prove L is undecidable by finding a reduction from Arm to it, where Arm={<M,w>| M is a Turing machine and M accepts w}
3.(4 4+20-36 points Formal Definition of a Turing Machine (TM) ATM M is expressed as a 7-tuple (Q, T, B, ? ?, q0,B,F) where: . Q is a finite set of states T is the tape alphabet (symbols which can be written on Tape) .B is blank symbol (every cell is filled with B except input alphabet initially .2 is the input alphabet (symbols which are part of input alphabet) is a transition function which maps QxTQxTx (L, R :...
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