Construct a TM that accepts the following language. Write the high-level algorithm executed by the machine...
Construct a TM that accepts the following language. Write the high-level algorithm executed by the machine and label the sections(5 points). {a^i b^j c^k | i + j = k}
Homework Answers
High-level algorithm
- Mark first a as blank
- Go to the right most and turn left
- Mark first c as blank
- Go to the left most and if a comes, go to step 1 and if b comes, go to step 5
- Mark first b as blank
- Go to the right most and turn left
- Mark first c as blank
- Go to the left most and if b comes, go to step 5, if a blank symbol comes, accept
Example Trace
aabbbccccc
abbbcccc
bbbccc
bbcc
bc
ACCEPTED
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Construct a TM that accepts the following language. Write the
high-level algorithm executed by the machine...
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.
3. [40 points, level-2,-3, and-4] this question involves Level-4 “High language level", Level-3 "Machine language level...
3. [40 points, level-2,-3, and-4] this question involves Level-4 “High language level", Level-3 "Machine language level (ISA)", and Level-2 "Microprogramming level". Use the table on next page to answer the following four questions. (a) [10 points] Translate/Java the C++ code segment (I" column in the table below, Level-4) into Mie- I LJVM machine language (2nd column, Level-3), assuming i, j, and k are the 1st, the 2nd and the 3rd local variables, respectively (b) [10 points) Translate the code in...
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?
(a) Give a high-level description of a TM that recognizes the following language: [ = {w...
(a) Give a high-level description of a TM that recognizes the following language: [ = {w w e{0,1}* and the number of Os is twice as many as the number of 1s} (b) Give a formal description including a state diagram for the TM for L. number of Os is twice as many as the number of 1s
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?
Differentiate between machine code, low level language (assembly), and high level language (c)
Differentiate between machine code, low level language (assembly), and high level language (c)
Write a sequence of normal assembly language instructions corresponding to the following sequence of high-level language...
Write a sequence of normal assembly language instructions corresponding to the following sequence of high-level language statements. Assume that each variable (A, B. C, and D) is one word in memory. If notequalto B then C: =5; else C: =10; D: =50;
(g) If there is an NFA with s states which accepts a language L, then we...
(g) If there is an NFA with s states which accepts a language L, then we can construct a DFA which accepts the same language and has: (circle the smallest correct answer a) s states b) 2s states d) 2 states (h) If there is a DFA which accepts a language A with s states and another whiclh accepts language B with t states, then we can construct a DFA which accepts An B which has (circle the smallest correct...
Question2 in the photo. Please help. Thanks 1. Construct an NFA that accepts the language La...
Question2 in the photo. Please help. Thanks
1. Construct an NFA that accepts the language La = {zaaabyaaabzla, y, z E {a, b)' } 2. Eliminate the e-transitions (denoted as E's below) from the following NFA s.t. the resulting machine accepts the same language with the same mumber of states. ql a,b go q3 2 3. Text problem: page 62, number 3. Finish by reducing the DFA. Note that you may want to do this in stages, first eliminating the...
(5 points) Consider the following sequence of virtual machine operations . . .enter subroutine la...
(5 points) Consider the following sequence of virtual machine operations . . .enter subroutine label loop push constant push local 1 add pop local 1 push local 1 push arguement 0 gt if-goto end 1 label end return Which of the following high level programming language constructs do the stack operations represent? Let local 1 contain j and arguement O contain n. A. B. C. D. E. while n<-j: j-j+1 while j<=n : J-1 while j<=n: j*)+1 while j<n: j-1...
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.
3. [40 points, level-2,-3, and-4] this question involves Level-4 “High language level", Level-3 "Machine language level (ISA)", and Level-2 "Microprogramming level". Use the table on next page to answer the following four questions. (a) [10 points] Translate/Java the C++ code segment (I" column in the table below, Level-4) into Mie- I LJVM machine language (2nd column, Level-3), assuming i, j, and k are the 1st, the 2nd and the 3rd local variables, respectively (b) [10 points) Translate the code in...
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?
(a) Give a high-level description of a TM that recognizes the following language: [ = {w w e{0,1}* and the number of Os is twice as many as the number of 1s} (b) Give a formal description including a state diagram for the TM for L. number of Os is twice as many as the number of 1s
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?
Write a sequence of normal assembly language instructions corresponding to the following sequence of high-level language statements. Assume that each variable (A, B. C, and D) is one word in memory. If notequalto B then C: =5; else C: =10; D: =50;
(g) If there is an NFA with s states which accepts a language L, then we can construct a DFA which accepts the same language and has: (circle the smallest correct answer a) s states b) 2s states d) 2 states (h) If there is a DFA which accepts a language A with s states and another whiclh accepts language B with t states, then we can construct a DFA which accepts An B which has (circle the smallest correct...
Question2 in the photo. Please help. Thanks
1. Construct an NFA that accepts the language La = {zaaabyaaabzla, y, z E {a, b)' } 2. Eliminate the e-transitions (denoted as E's below) from the following NFA s.t. the resulting machine accepts the same language with the same mumber of states. ql a,b go q3 2 3. Text problem: page 62, number 3. Finish by reducing the DFA. Note that you may want to do this in stages, first eliminating the...
(5 points) Consider the following sequence of virtual machine operations . . .enter subroutine label loop push constant push local 1 add pop local 1 push local 1 push arguement 0 gt if-goto end 1 label end return Which of the following high level programming language constructs do the stack operations represent? Let local 1 contain j and arguement O contain n. A. B. C. D. E. while n<-j: j-j+1 while j<=n : J-1 while j<=n: j*)+1 while j<n: j-1...
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