Discrete Mathematics With Applicat...

5th Edition

EPP + 1 other

ISBN: 9781337694193

Textbook Problem

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In 29—47, design a finite-state automaton to accept the language defined by the regular expression in the referenced exercise from Section 12.1.

38. Exercise 27

To determine

Design a finite-state automaton to accept the language defined by the regular expression in the referenced exercise from Section 12.1.

Explanation

Given information:

“The language consisting of strings of x's and y's in which the elements in every pair of

x's are separated by at least one y ”.

Concept used:

Arrow in the given graph played vital role in answer selection.

Calculation:

It is required to design an automaton that accepts language defined by a regular expression which is expressed in words as “The language consisting of strings of x's and y's in which the elements in every pair of x's are separated by at least one y ”. This regular expression can be written as x|y*|(y*( xy y * )( ε|x))*. To design the automaton consider three non-accepting states s0, s3 and s4 and three accepting states s1, s2 and s5. Considering s0 to be the initial state of the

automaton, the design of the automaton is given below. Any string having only x or finite concatenation of y is accepted by the automaton and leads the automaton to the accepting states s1 or s2

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Chapter 12 Solutions

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Sect-12.1 P-1TY Sect-12.1 P-2TY Sect-12.1 P-3TY Sect-12.1 P-4TY Sect-12.1 P-5TY Sect-12.1 P-6TY Sect-12.1 P-7TY Sect-12.1 P-8TY Sect-12.1 P-9TY Sect-12.1 P-10TY

Sect-12.1 P-11TY Sect-12.1 P-12TY Sect-12.1 P-1ES Sect-12.1 P-2ES Sect-12.1 P-3ES Sect-12.1 P-4ES Sect-12.1 P-5ES Sect-12.1 P-6ES Sect-12.1 P-7ES Sect-12.1 P-8ES Sect-12.1 P-9ES Sect-12.1 P-10ES Sect-12.1 P-11ES Sect-12.1 P-12ES Sect-12.1 P-13ES Sect-12.1 P-14ES Sect-12.1 P-15ES Sect-12.1 P-16ES Sect-12.1 P-17ES Sect-12.1 P-18ES Sect-12.1 P-19ES Sect-12.1 P-20ES Sect-12.1 P-21ES Sect-12.1 P-22ES Sect-12.1 P-23ES Sect-12.1 P-24ES Sect-12.1 P-25ES Sect-12.1 P-26ES Sect-12.1 P-27ES Sect-12.1 P-28ES Sect-12.1 P-29ES Sect-12.1 P-30ES Sect-12.1 P-31ES Sect-12.1 P-32ES Sect-12.1 P-33ES Sect-12.1 P-34ES Sect-12.1 P-35ES Sect-12.1 P-36ES Sect-12.1 P-37ES Sect-12.1 P-38ES Sect-12.1 P-39ES Sect-12.1 P-40ES Sect-12.1 P-41ES Sect-12.2 P-1TY Sect-12.2 P-2TY Sect-12.2 P-3TY Sect-12.2 P-4TY Sect-12.2 P-5TY Sect-12.2 P-6TY Sect-12.2 P-7TY Sect-12.2 P-8TY Sect-12.2 P-9TY Sect-12.2 P-10TY Sect-12.2 P-1ES Sect-12.2 P-2ES Sect-12.2 P-3ES Sect-12.2 P-4ES Sect-12.2 P-5ES Sect-12.2 P-6ES Sect-12.2 P-7ES Sect-12.2 P-8ES Sect-12.2 P-9ES Sect-12.2 P-10ES Sect-12.2 P-11ES Sect-12.2 P-12ES Sect-12.2 P-13ES Sect-12.2 P-14ES Sect-12.2 P-15ES Sect-12.2 P-16ES Sect-12.2 P-17ES Sect-12.2 P-18ES Sect-12.2 P-19ES Sect-12.2 P-20ES Sect-12.2 P-21ES Sect-12.2 P-22ES Sect-12.2 P-23ES Sect-12.2 P-24ES Sect-12.2 P-25ES Sect-12.2 P-26ES Sect-12.2 P-27ES Sect-12.2 P-28ES Sect-12.2 P-29ES Sect-12.2 P-30ES Sect-12.2 P-31ES Sect-12.2 P-32ES Sect-12.2 P-33ES Sect-12.2 P-34ES Sect-12.2 P-35ES Sect-12.2 P-36ES Sect-12.2 P-37ES Sect-12.2 P-38ES Sect-12.2 P-39ES Sect-12.2 P-40ES Sect-12.2 P-41ES Sect-12.2 P-42ES Sect-12.2 P-43ES Sect-12.2 P-44ES Sect-12.2 P-45ES Sect-12.2 P-46ES Sect-12.2 P-47ES Sect-12.2 P-48ES Sect-12.2 P-49ES Sect-12.2 P-50ES Sect-12.2 P-51ES Sect-12.2 P-52ES Sect-12.2 P-53ES Sect-12.2 P-54ES Sect-12.3 P-1TY Sect-12.3 P-2TY Sect-12.3 P-3TY Sect-12.3 P-4TY Sect-12.3 P-5TY Sect-12.3 P-1ES Sect-12.3 P-2ES Sect-12.3 P-3ES Sect-12.3 P-4ES Sect-12.3 P-5ES Sect-12.3 P-6ES Sect-12.3 P-7ES Sect-12.3 P-8ES Sect-12.3 P-9ES Sect-12.3 P-10ES Sect-12.3 P-11ES Sect-12.3 P-12ES Sect-12.3 P-13ES Sect-12.3 P-14ES Sect-12.3 P-15ES Sect-12.3 P-16ES Sect-12.3 P-17ES Sect-12.3 P-18ES

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