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 * ( x y y * ) ( ε | x ) ) * . To design the automaton consider three non-accepting states s 0 , s 3 and s 4 and three accepting states s 1 , s 2 and s 5 . Considering s 0 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 s 1 or s 2

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Chapter 12.2, Problem 38ES

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

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Chapter 12.2, Problem 37ES

Chapter 12.2, Problem 39ES

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Chapter 12 Solutions

WEBASSIGN F/EPPS DISCRETE MATHEMATICS

Ch. 12.1 - If x and y are strings, the concatenation of x and...Ch. 12.1 - Prob. 2TY Ch. 12.1 - Prob. 3TY Ch. 12.1 - Prob. 4TY Ch. 12.1 - Prob. 5TY Ch. 12.1 - Prob. 6TY Ch. 12.1 - Prob. 7TY Ch. 12.1 - Use of a single dot in a regular expression stands...Ch. 12.1 - Prob. 9TY Ch. 12.1 - If r is a regular expression, the notation r +...

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

Solution Summary: The author explains how to design a finite-state automaton that accepts the language defined by the regular expression in Section 12.1.

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

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Chapter 12 Solutions