Computer Science: An Overview (12th Edition)
12th Edition
ISBN: 9780133760064
Author: Glenn Brookshear, Dennis Brylow
Publisher: PEARSON
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Chapter 12.2, Problem 3QE
Program Plan Intro
Turing machine:
Turing machine is used as a tool to understand the power of
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Design a Turing Machine that accepts strings over the alphabet (a,b) that always ends with 'aaa'.
Design a Turing machine on the input alphabet {x, y, z) that removes all z characters from the input such
there are no gaps. If the input string is xzzyxzy, the output should be xyxy.
• Hint: The final string does not need to reside on the same part of the tape where it started.
Design a Turing Machine that accepts L= {w#w | w = {0, 1}*) when given the tape is as follows:
second/right string
0 1 0 0 1 # 0 1 0 0 1
Tape
first/left string
Chapter 12 Solutions
Computer Science: An Overview (12th Edition)
Ch. 12.1 - Prob. 1QECh. 12.1 - Prob. 2QECh. 12.1 - Prob. 3QECh. 12.1 - Prob. 4QECh. 12.2 - Prob. 1QECh. 12.2 - Prob. 2QECh. 12.2 - Prob. 3QECh. 12.2 - Prob. 4QECh. 12.2 - Prob. 5QECh. 12.3 - Prob. 1QE
Ch. 12.3 - Prob. 3QECh. 12.3 - Prob. 5QECh. 12.3 - Prob. 6QECh. 12.4 - Prob. 1QECh. 12.4 - Prob. 2QECh. 12.4 - Prob. 3QECh. 12.5 - Prob. 1QECh. 12.5 - Prob. 2QECh. 12.5 - Prob. 4QECh. 12.5 - Prob. 5QECh. 12.6 - Prob. 1QECh. 12.6 - Prob. 2QECh. 12.6 - Prob. 3QECh. 12.6 - Prob. 4QECh. 12 - Prob. 1CRPCh. 12 - Prob. 2CRPCh. 12 - Prob. 3CRPCh. 12 - In each of the following cases, write a program...Ch. 12 - Prob. 5CRPCh. 12 - Describe the function computed by the following...Ch. 12 - Describe the function computed by the following...Ch. 12 - Write a Bare Bones program that computes the...Ch. 12 - Prob. 9CRPCh. 12 - In this chapter we saw how the statement copy...Ch. 12 - Prob. 11CRPCh. 12 - Prob. 12CRPCh. 12 - Prob. 13CRPCh. 12 - Prob. 14CRPCh. 12 - Prob. 15CRPCh. 12 - Prob. 16CRPCh. 12 - Prob. 17CRPCh. 12 - Prob. 18CRPCh. 12 - Prob. 19CRPCh. 12 - Analyze the validity of the following pair of...Ch. 12 - Analyze the validity of the statement The cook on...Ch. 12 - Suppose you were in a country where each person...Ch. 12 - Prob. 23CRPCh. 12 - Prob. 24CRPCh. 12 - Suppose you needed to find out if anyone in a...Ch. 12 - Prob. 26CRPCh. 12 - Prob. 27CRPCh. 12 - Prob. 28CRPCh. 12 - Prob. 29CRPCh. 12 - Prob. 30CRPCh. 12 - Prob. 31CRPCh. 12 - Suppose a lottery is based on correctly picking...Ch. 12 - Is the following algorithm deterministic? Explain...Ch. 12 - Prob. 34CRPCh. 12 - Prob. 35CRPCh. 12 - Does the following algorithm have a polynomial or...Ch. 12 - Prob. 37CRPCh. 12 - Summarize the distinction between stating that a...Ch. 12 - Prob. 39CRPCh. 12 - Prob. 40CRPCh. 12 - Prob. 41CRPCh. 12 - Prob. 42CRPCh. 12 - Prob. 43CRPCh. 12 - Prob. 44CRPCh. 12 - Prob. 46CRPCh. 12 - Prob. 48CRPCh. 12 - Prob. 49CRPCh. 12 - Prob. 50CRPCh. 12 - Prob. 51CRPCh. 12 - Prob. 52CRPCh. 12 - Prob. 1SICh. 12 - Prob. 2SICh. 12 - Prob. 3SICh. 12 - Prob. 4SICh. 12 - Prob. 5SICh. 12 - Prob. 6SICh. 12 - Prob. 7SICh. 12 - Prob. 8SI
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- Construct a Turing Machine that computes the expression 2x+y, where x, y ≥ 0, and are represented on the tape as a sequence of 1s separated by a 0. For e. g., Say, x = 3, y = 5 are represented on the screen as ⊢111011111; At the end of the computation, the tape contents should be ⊢11111111111 representing the number 2x+y = 2(3)+5 = 11.arrow_forwardConstruct a Turing Machine that computes the expression 2x+y, where x, y 2 0, and are represented on the tape as a sequence of 1s separated by a 0. For e. g., Say, x = 3, y = 5 are represented on the screen as -111011111; At the end of the computation, the tape contents should be +11111111111 representing the number 2x+y = 2(3)+5 = 11. Solution hint: a. If x = 0 and y = 0, Accept. b. If x = 0, then 2x+y = y, Accept. c. Replace 1s of x with A. d. For each A, replace A with 1, and add a 1 at the end of the tape contents. e. Finally, Move 0 to the end f tape contents, and replace with a Blank, and Accept.arrow_forwardT/F Any set of strings that can be described by a regular expression can be recognized by a Turing machine. T/F Any set of strings that can be recognized by a Turing Machine can be described by a regular expressionarrow_forward
- What does the following Turing machine do? (The triangle symbol denotes the empty cell on the tape) Hint: try some simple input and find what the TM does to the tape. 8 (1, a) = (1, b, R) 8 (1,6) = (1, a, R) 8(1, A) = (F, A, L)arrow_forwardQuestion: How Can I Write A Turing Machine That Begins On A Tape Containing A Single 1 And Never Halts But Successively Displays The Strings ...B1b... ...B010b... ...B00100b...and so onarrow_forwardDesign a Turing machine that accepts a string of a and b where the number of a's is one more than the number of of b's? first write the outline then the draw the diagram.arrow_forward
- Construct a Turing machine that prints the strings on {0, 1}* in the lexicographic order. Hint: The tape's initial contents: L0 The output is: LOL 1 L 00 L 01...arrow_forwardDesign and draw a Turing machine on the input alphabet {x,y,z} that removes all z characters from the input such there are no gaps. If the input string is xzzyxzy, the output should be xyxy. Hint: The final string does not need to reside on the same part of the tape where it started.arrow_forwardwrite a simple turing machine left that only goes one step to the left independent of the content of the tape?arrow_forward
- What is the strong-form of Turing thesis?arrow_forwardDraw a Turing machine that has an input alphabet of { a, b, c }, and when it runs on an input string, it changes all the b’s to d’s, leaving the a’s and c’s unchanged.arrow_forwardDesign a Turing machine that shifts its input two characters to the right. Assume E= {a,b}and let O be the blank symbol. Let the input tape T = aabbba .arrow_forward
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