Explanation Given information: Given that following M is a finite state automaton- Calculation: For k = 0 , the states are classified into two classes, one for non-final states and other for final states. So the equivalence classes are { s 0 , s 1 , s 2 , s 4 } , { s 3 , s 5 , s 6 } . For k = 1 let us refine 0 − equivalence classes and classify the states as final and non-final on the basis of their behavior. Let us denote the final states as F and non-final states as N . The following table shows the behavior of each state − State Behavior s 0 N N s 1 F N To determine (b) To construct a quotient automaton M ¯ of M .

Discrete Mathematics and Its Applications ( 8th International Edition ) ISBN:9781260091991

8th Edition

ISBN: 9781259676512

Author: Kenneth H Rosen

Publisher: McGraw-Hill Education

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Chapter 13.3, Problem 62E

To determine

(a)

To find the k− equivalence classes of M¯ for k=0,1,2, and 3 and also find the *− equivalence classes of M.

To determine

(b)

To construct a quotient automaton M¯ of M.

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Chapter 13.3, Problem 61E

Chapter 13.4, Problem 1E

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Chapter 13 Solutions

Discrete Mathematics and Its Applications ( 8th International Edition ) ISBN:9781260091991

Ch. 13.1 - Exercises 1-3 refer to the grammar with start...Ch. 13.1 - Exercises 1-3 refer to the grammar with start...Ch. 13.1 - Prob. 3E Ch. 13.1 - Let G=(V,T,S,P) be the phrase-structure grammar...Ch. 13.1 - Prob. 5E Ch. 13.1 - Prob. 6E Ch. 13.1 - Prob. 7E Ch. 13.1 - Show that the grammar given in Example 5 generates...Ch. 13.1 - Prob. 9E Ch. 13.1 - Prob. 10E

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(a) To find the k − equivalence classes of M ¯ for k = 0 , 1 , 2 , and 3 and also find the * − equivalence classes of M .

Solution Summary: The author explains how to find the k- equivalence classes of Stackrel M, and *- M. They classify the states as final and

Videos

(a)

To find the k− equivalence classes of M¯ for k=0,1,2, and 3 and also find the *− equivalence classes of M.

(b)

To construct a quotient automaton M¯ of M.

Want to see the full answer?

Chapter 13 Solutions

(a) To find the k − equivalence classes of M ¯ for k = 0 , 1 , 2 , and 3 and also find the * − equivalence classes of M .

Solution Summary: The author explains how to find the k- equivalence classes of Stackrel M, and *- M. They classify the states as final and

Videos

(a) To find the k− equivalence classes of M¯ for k=0,1,2, and 3 and also find the *− equivalence classes of M.

(b) To construct a quotient automaton M¯ of M.

Want to see the full answer?

Chapter 13 Solutions

(a)

To find the k− equivalence classes of M¯ for k=0,1,2, and 3 and also find the *− equivalence classes of M.

(b)

To construct a quotient automaton M¯ of M.