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40 points) Please design a Turing machine T to recognize the union of the languages of two Turing...
(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
Suppose L1, L2, and L3 are languages and T1, T2, and T3 are Turing machines such...
Suppose L1, L2, and L3 are languages and T1, T2, and T3 are Turing machines such that L(T1) = L1, L(T2) = L2, L(T3) = L3, knowing that T3 is recursive (always halts, either halts and accepts or halts and rejects) and both T1 and T2 are recursive enumerable so they may get stuck in an infinite loop for words they don't accept.. For each of the following languages, describe the Turing machine that would accept it, and state whether...
1. (25 points) Turing Machine Design: Design a Turing machine Mi that operates on inputs that...
1. (25 points) Turing Machine Design: Design a Turing machine Mi that operates on inputs that are strings in 10, 1). Design Mi so that it recognizes the following language: fw E (0.1)l w ends in 10 or 111) a. Provide a high-level English prose description for the actions of Mi b. Provide an implementation-level description of M. c. List the parts of the formal 7-tuple for M d. Draw a detailed pictorial state diagram for M1 e. List the...
Draw the transition graph of a Standard Turing Machine (TM) that accepts the language: L =...
Draw the transition graph of a Standard Turing Machine (TM) that accepts the language: L = {(ba)^n cc: n greaterthanorequalto 1} Union {ab^m: m greaterthanorequalto 0} Write the sequence of moves done by the TM when the input string is w = bab. Is the string w accepted?
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...
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....
. Please design a standard TM (i.e., a single semi-infinite tape, deterministic) for the laın gua...
. Please design a standard TM (i.e., a single semi-infinite tape, deterministic) for the laın guage of all palindromes over alphabet {a, b} . Please give both the high-level description (text description or pseudo-code algorithm) and the low-level state transition diagram. Please analyze how many steps (one transition is considered as a step) it takes to accept an input palindrome with n symbols . Please design a deterministic Turing machine with two semi-infinite tapes for the same language. Please give...
Third time posting, can someone answer please. Question 2. Consider the Turing machine defined as follows....
Third time posting, can someone answer
please.
Question 2. Consider the Turing machine defined as follows. input alphabet {1} Tape alphabet = { 1,0, x,□} where □ represents a blank Set of states (A, B, C, D Initial state A set of accept states = {D} Transition function: 6(A, z) = (A,z, R) 6(A, □)-(C,D, L) (i) Draw a transition graph for this Turing machine. (ii) Determine the output of the Turing machine for each of the following input i)...
COMPUTER SCIENCE -- THEORY OF COMPUTATION Please write a Turing-machine style of algorithm to decide the...
COMPUTER SCIENCE -- THEORY OF COMPUTATION Please write a Turing-machine style of algorithm to decide the language L1 given below. Use specific, precise, step-by-step English. Describe how to test whether or not an input string is in the language L1 in finite time. A state diagram is not necessary at all -- but optional and helpful. L1 = {w : every ‘a’ within w is to the left of every ‘b’ within w} over the following alphabet Σ = {a,...
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 :...
1. (25 points) Turing Machine Design: Design a Turing machine Mi that operates on inputs that are strings in 10, 1). Design Mi so that it recognizes the following language: fw E (0.1)l w ends in 10 or 111) a. Provide a high-level English prose description for the actions of Mi b. Provide an implementation-level description of M. c. List the parts of the formal 7-tuple for M d. Draw a detailed pictorial state diagram for M1 e. List the...
Draw the transition graph of a Standard Turing Machine (TM) that accepts the language: L = {(ba)^n cc: n greaterthanorequalto 1} Union {ab^m: m greaterthanorequalto 0} Write the sequence of moves done by the TM when the input string is w = bab. Is the string w accepted?
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...
. Please design a standard TM (i.e., a single semi-infinite tape, deterministic) for the laın guage of all palindromes over alphabet {a, b} . Please give both the high-level description (text description or pseudo-code algorithm) and the low-level state transition diagram. Please analyze how many steps (one transition is considered as a step) it takes to accept an input palindrome with n symbols . Please design a deterministic Turing machine with two semi-infinite tapes for the same language. Please give...
Third time posting, can someone answer
please.
Question 2. Consider the Turing machine defined as follows. input alphabet {1} Tape alphabet = { 1,0, x,□} where □ represents a blank Set of states (A, B, C, D Initial state A set of accept states = {D} Transition function: 6(A, z) = (A,z, R) 6(A, □)-(C,D, L) (i) Draw a transition graph for this Turing machine. (ii) Determine the output of the Turing machine for each of the following input i)...
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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