Math

Discrete Mathematics With ApplicationsIn each of 20—28, (a) design an automaton with the given input alphabet that accepts the given set of strings, and (b) find a regular expression that defines the language accepted by the automaton. 20. Input alphabet = { 0 , 1 } ; Accepts the set of all strings for which the final three input symbols are 1.BuyFind*arrow_forward*

5th Edition

EPP + 1 other

Publisher: Cengage Learning,

ISBN: 9781337694193

Chapter 12.2, Problem 20ES

Textbook Problem

In each of 20—28, (a) design an automaton with the given input alphabet that accepts the given set of strings, and (b) find a regular expression that defines the language accepted by the automaton.

20. Input alphabet

Discrete Mathematics With Applications

Show all chapter solutions

Ch. 12.1 - If x and y are strings, the concatenation of x and...Ch. 12.1 - If L and Lare languages, the Concatenation of L...Ch. 12.1 - If L and Lare languages, the union of L and L is...Ch. 12.1 - If L is a language, the Kleene closure of L is...Ch. 12.1 - The set of regular expressions over an alphabet is...Ch. 12.1 - The function that associates a language to each...Ch. 12.1 - The notation [A-C] is an example of a____ and...Ch. 12.1 - Use of a single dot in a regular expression stands...Ch. 12.1 - The symbol ^, placed at the beginning of a...Ch. 12.1 - If r is a regular expression, the notation r +...

Ch. 12.1 - If r is a regular expression, the notation...Ch. 12.1 - If r is a regular expression, the notation r{n}...Ch. 12.1 - In 1 and 2, let={x,y} be an alphabet. 1. a. Let...Ch. 12.1 - In 1 and 2, let={x,y} be an alphabet. 2. a. Let L3...Ch. 12.1 - If the expression ab+cd+ in postfix notation is...Ch. 12.1 - In 4—6, describe L1L2,L1L2, and (L1L2)*for the...Ch. 12.1 - In 4—6, describe L1L2,L1L2, and (L1L2)*for the...Ch. 12.1 - In 4—6, describe L1L2,L1L2, and (L1L2)*for the...Ch. 12.1 - In 7—9, add parentheses to emphasize the order of...Ch. 12.1 - In 7—9, add parentheses to emphasize the order of...Ch. 12.1 - In 7—9, add parentheses to emphasize the order of...Ch. 12.1 - In 10—12, use the rules about order of precedence...Ch. 12.1 - In 10—12, use the rules about order of precedence...Ch. 12.1 - In 10—12, use the rules about order of precedence...Ch. 12.1 - In 13—15, use set notation to derive the language...Ch. 12.1 - In 13—15, use set notation to derive the language...Ch. 12.1 - In 13—15, use set notation to derive the language...Ch. 12.1 - In 16—18, write five strings that belong to the...Ch. 12.1 - In 16—18, write five strings that belong to the...Ch. 12.1 - In 16—18, write five strings that belong to the...Ch. 12.1 - In 19—21, use words to describe the language...Ch. 12.1 - In 19—21, use words to describe the language...Ch. 12.1 - In 19—21, use words to describe the language...Ch. 12.1 - In 22—24, indicate whether the given strings...Ch. 12.1 - In 22—24, indicate whether the given strings...Ch. 12.1 - In 22—24, indicate whether the given strings...Ch. 12.1 - In 25—27, find a regular expression that defines...Ch. 12.1 - In 25—27, find a regular expression that defines...Ch. 12.1 - In 25—27, find a regular expression that defines...Ch. 12.1 - Let r, s, and t be regular expressions over...Ch. 12.1 - Let r, s, and t be regular expressions over...Ch. 12.1 - Let r, s, and t be regular expressions over...Ch. 12.1 - In 31—39, write a regular expression to define the...Ch. 12.1 - In 31—39, write a regular expression to define the...Ch. 12.1 - In 31—39, write a regular expression to define the...Ch. 12.1 - In 31—39, write a regular expression to define the...Ch. 12.1 - In 31—39, write a regular expression to define the...Ch. 12.1 - In 31—39, write a regular expression to define the...Ch. 12.1 - In 31—39, write a regular expression to define the...Ch. 12.1 - In 31—39, write a regular expression to define the...Ch. 12.1 - In 31—39, write a regular expression to define the...Ch. 12.1 - Write a regular expression to perform a complete...Ch. 12.1 - Write a regular expression to define the set of...Ch. 12.2 - The five objects that make up a finite-state...Ch. 12.2 - The next-state table for an automaton shows the...Ch. 12.2 - In the annotated next-state table, the initial...Ch. 12.2 - A string w consisting of input symbols is accepted...Ch. 12.2 - The language accepted by a finite-state automaton...Ch. 12.2 - If N is the next-stale function for a finite-state...Ch. 12.2 - One part of Kleene’s theorem says that given any...Ch. 12.2 - The second part of Kleene’s theorem says that...Ch. 12.2 - A regular language is .__________Ch. 12.2 - Given the language consisting of all strings of...Ch. 12.2 - Find the state of the vending machine in Example...Ch. 12.2 - In 2—7, a finite-state automaton is given by a...Ch. 12.2 - In 2—7, a finite-state automaton is given by a...Ch. 12.2 - In 2—7, a finite-state automaton is given by a...Ch. 12.2 - In 2—7, a finite-state automaton is given by a...Ch. 12.2 - In 2—7, a finite-state automaton is given by a...Ch. 12.2 - In 2—7, a finite-state automaton is given by a...Ch. 12.2 - In 8 and 9, a finite-state automaton is given by...Ch. 12.2 - In 8 and 9, a finite-state automaton is given by...Ch. 12.2 - A finite-state automaton A given by the transition...Ch. 12.2 - A finite-state automaton A given by the transition...Ch. 12.2 - Consider again the finite-state automaton of...Ch. 12.2 - Consider again the finite-state automaton of...Ch. 12.2 - In each of 14—19, (a) find the language accepted...Ch. 12.2 - In each of 14—19, (a) find the language accepted...Ch. 12.2 - In each of 14—19, (a) find the language accepted...Ch. 12.2 - In each of 14—19, (a) find the language accepted...Ch. 12.2 - In each of 14—19, (a) find the language accepted...Ch. 12.2 - In each of 14—19, (a) find the language accepted...Ch. 12.2 - In each of 20—28, (a) design an automaton with the...Ch. 12.2 - In each of 20—28, (a) design an automaton with the...Ch. 12.2 - In each of 20—28, (a) design an automaton with the...Ch. 12.2 - In each of 20—28, (a) design an automaton with the...Ch. 12.2 - In each of 20—28, (a) design an automaton with the...Ch. 12.2 - In each of 20—28, (a) design an automaton with the...Ch. 12.2 - In each of 20—28, (a) design an automaton with the...Ch. 12.2 - In each of 20—28, (a) design an automaton with the...Ch. 12.2 - In each of 20—28, (a) design an automaton with the...Ch. 12.2 - In 29—47, design a finite-state automaton to...Ch. 12.2 - In 29—47, design a finite-state automaton to...Ch. 12.2 - In 29—47, design a finite-state automaton to...Ch. 12.2 - In 29—47, design a finite-state automaton to...Ch. 12.2 - In 29—47, design a finite-state automaton to...Ch. 12.2 - In 29—47, design a finite-state automaton to...Ch. 12.2 - In 29—47, design a finite-state automaton to...Ch. 12.2 - In 29—47, design a finite-state automaton to...Ch. 12.2 - In 29—47, design a finite-state automaton to...Ch. 12.2 - In 29—47, design a finite-state automaton to...Ch. 12.2 - In 29—47, design a finite-state automaton to...Ch. 12.2 - In 29—47, design a finite-state automaton to...Ch. 12.2 - In 29—47, design a finite-state automaton to...Ch. 12.2 - In 29—47, design a finite-state automaton to...Ch. 12.2 - In 29—47, design a finite-state automaton to...Ch. 12.2 - In 29—47, design a finite-state automaton to...Ch. 12.2 - In 29—47, design a finite-state automaton to...Ch. 12.2 - In 29—47, design a finite-state automaton to...Ch. 12.2 - In 29—47, design a finite-state automaton to...Ch. 12.2 - A simplified telephone switching system allows the...Ch. 12.2 - Write a computer algorithm that simulates the...Ch. 12.2 - Write a computer algorithm that simulates the act...Ch. 12.2 - Let L be the language consisting of all strings of...Ch. 12.2 - Let L be the language consisting of all strings of...Ch. 12.2 - Let L be the language consisting of all strings of...Ch. 12.2 - a. Let A be a finite-state automaton with input...Ch. 12.3 - Given a finite-state automaton A with...Ch. 12.3 - Given a finite-state automaton A with...Ch. 12.3 - Given states s and t in a finite-state automaton...Ch. 12.3 - If A is a finite-state automaton, then for some...Ch. 12.3 - Given a finite-state automaton A, the set of...Ch. 12.3 - Consider the finite-state automaton A given by the...Ch. 12.3 - Consider the finite-state automaton A given by the...Ch. 12.3 - Consider the finite-state automaon A discussed in...Ch. 12.3 - Consider the finite-state automaton given by the...Ch. 12.3 - Consider the finite-state automaton given by the...Ch. 12.3 - Consider the finite-state automaton given by the...Ch. 12.3 - Are the automata A and A’ shown below equivalent?Ch. 12.3 - Are the automata A and A’ shown below equivalent?Ch. 12.3 - Are the automata A and A’ shown below equivalent?Ch. 12.3 - Are the automata A and A’ shown below equivalent?Ch. 12.3 - Prove property (12.3.1).Ch. 12.3 - How should the proof of property (12.3.1) be...Ch. 12.3 - Prove property (12.3.3).Ch. 12.3 - Prove property (12.3.4).Ch. 12.3 - Prove property (12.3.5).Ch. 12.3 - Prove property (12.3.6).Ch. 12.3 - Prove that if two states of a finite-state...Ch. 12.3 - Write a complete proof of property (12.3.7).

Find more solutions based on key concepts

Show solutions Prove De Morgans Laws a. (pq)pq b. (pq)pq

Finite Mathematics for the Managerial, Life, and Social Sciences

Express the decimal degrees as degrees, minutes, and seconds. When necessary, round the answer to the nearest w...

Mathematics For Machine Technology

Read each scale:

Elementary Technical Mathematics

Solve the equations in Exercises 126. 4xx313x4x31x31=0

Finite Mathematics

In Exercises 2326, given the sets U={0,1,2,3,4,5,6,7,8,9}, A={0,2,4,5,9}, and B={1,2,7,8,9}, use De Morgans Law...

Mathematics: A Practical Odyssey

Calculate the simple interest earned. Round to the nearest cent. P=3500,r=1.8monthly,t=4months

Mathematical Excursions (MindTap Course List)

22. A juice manufacturer sells several kinds of juice in 59-oz containers. A machine fills the containers, and ...

Mathematical Applications for the Management, Life, and Social Sciences

Exercise 13.18 described a regression analysis with y = Sales revenue and x = Advertising expenditure. Summary ...

Introduction To Statistics And Data Analysis

Compare the functions f(x) = x5and g(x) = 5x by graphing both functions in several viewing rectangles. Find all...

Single Variable Calculus: Early Transcendentals, Volume I

Graph each function. fx=2+lnx

College Algebra (MindTap Course List)

8. Describe two partitions of each of the following sets.
a. b.
c. ...

Elements Of Modern Algebra

Explain how the nonprobability technique of quota sampling can be used to mimic the probability technique of st...

Research Methods for the Behavioral Sciences (MindTap Course List)

If yc(x) is the general solution to ay″ + by′ + cy = 0 and yp(x) is a particular solution to ay″ + by′ + cy = G...

Study Guide for Stewart's Multivariable Calculus, 8th

Finding a Total DifferentialIn Exercises 38, find the total differential. z=12(ex2+y2ex2y2)

Calculus (MindTap Course List)

True or False: The function graphed at the right is one-to-one.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

In Exercises 51-58, use the Vertical Line Test to determine whether the graph represents y as a function of x. ...

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

What term is used for the statistical techniques that use sample data to draw conclusions about the population ...

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Refer to the Hudson Marine problem in exercise 53. a. Compute the centered moving average values for this time ...

Statistics for Business & Economics, Revised (MindTap Course List)

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 13. h(x)=21/xsin4tdt

Single Variable Calculus

SW Compute the median and mean for both the pretest and posttest for the test scores first presented in problem...

Essentials Of Statistics

Employee Participation in Investment Plans. Sparr Investments, Inc., specializes in tax-deferred investment opp...

Essentials Of Statistics For Business & Economics

3. The useful _____ is the length of time an asset is expected to generate revenue. The value of an asset at th...

Contemporary Mathematics for Business & Consumers

Critical Thinking A randomized block design was used to study the amount of grants awarded to students at a lar...

Understanding Basic Statistics

Graph one complete cycle for each of the following. In each case, label the axes accurately and state the perio...

Trigonometry (MindTap Course List)

Find all points of intersection of the given curves. 40. r = cos 3, r = sin 3

Multivariable Calculus

Identifying and Sketching a Conic In Exercises 13-22, find the eccentricity and the distance from the pole to t...

Calculus: Early Transcendental Functions

Equations of Planes A description of a plane is given. Find an equation for the plane. 31. The plane that cross...

Precalculus: Mathematics for Calculus (Standalone Book)

For Problems 27-36, simplify each of the algebraic expressions by combining similar terms. (n1)(n+2)+3

Intermediate Algebra

Describe the types of symmetry displayed by each of these corporate logos.

Elementary Geometry for College Students

Removable and Nonremovable Discontinuities In Exercises 39-58, find the x -values (if any) at which f is not co...

Calculus of a Single Variable

Reversing Roles of Variables In Exercises S-17 through S-30, reverse the roles of the variables by solving for ...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

The authors of the article A Probabilistic Insulation Life Model for Combined Thermal-Electrical Stresses (IEEE...

Probability and Statistics for Engineering and the Sciences

Finding an Equation of a Plane In Exercises45-56, find an equation of the plane with the given characteristics....

Calculus: Early Transcendental Functions (MindTap Course List)

Solve each equation in Exercises 107120 for x, rounding your answer to four significant digits where necessary....

Applied Calculus

An MBA new-matriculants survey provided the following data for 2018 students. a. For a randomly selected MBA st...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Being as specific as possible, name the type of parallelogram that ahas congruent diagonals. bhas perpendicular...

Elementary Geometry For College Students, 7e

List the five sections typically found in a research article, and describe briefly what each should contain.

Research Methods for the Behavioral Sciences (MindTap Course List)

Evaluating a Line Integral In Exercises 23-32, evaluate CFdr along each path. (Hint: If F is conservative, the ...

Multivariable Calculus

Finding x- and y-Intercepts In Exercises 2332, find the x- and y-intercepts of the graph of the equation. See E...

Calculus: An Applied Approach (MindTap Course List)

31-50 Differentiate the function. f(t)=sin2(esin2t)

Calculus (MindTap Course List)

The table gives the US population from 1790 to 1860. (a) Use a graphing calculator or computer to fit an expone...

Single Variable Calculus: Early Transcendentals

Describe the scores in a sample that has standard deviation of zero.

Statistics for The Behavioral Sciences (MindTap Course List)

Evaluate expressions in Exercises 3756, rounding your answer to four significant digits where necessary. 81164

Finite Mathematics and Applied Calculus (MindTap Course List)

Find the volume of the solid enclosed by the surface z = x2 + xy2 and the planes z = 0, x = 0, x = 5, and y = 2...

Calculus: Early Transcendentals

In the following exercises, does the right-endpoint approximation overestimate or underestimate the exact area?...

Calculus Volume 2

In Problems 15 and 16 use a graphing utility to graph the indicated solution. 16. y(t) of Problem 14 for 0 t ...

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

For the following exercises, sketch the graph of the exponential function. Determine the domain, range, and hor...

Calculus Volume 1

Evaluating an Arithmetic Combination of Functions In Exercises 13-24, evaluate the function for fx=x+3andgx=x22...

College Algebra

Consider a completely randomized design involving three treatments: A, B, and C. Write a multiple regression eq...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

Describe the relationship between the mean and the median of this distribution. Figure 2.34

Introductory Statistics