Let N be an NFA with k states that recognizes some

Introduction to the Theory of Computation | 3rd Edition | ISBN: 9781133187790 | Authors: Michael Sipser

ISBN: 9781133187790 221

Solution for problem 1.64 Chapter 1

Introduction to the Theory of Computation | 3rd Edition

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Problem 1.64

Let N be an NFA with k states that recognizes some language A.a. Show that if A is nonempty, A contains some string of length at most k. b. Show, by givingan example, that part (a) is not necessarilytrue if you replace both As by A. c. Show that if A is nonempty, A contains some string of length at most 2k. d. Show that the bound given in part (c) is nearly tight; that is, for each k, demonstrate an NFA recognizing a language Ak where Ak is nonempty and where Aks shortest member strings are of length exponential in k. Come as close to the bound in (c) as you can.

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Chapter 1, Problem 1.64 is Solved

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Textbook: Introduction to the Theory of Computation

Edition: 3

Author: Michael Sipser

ISBN: 9781133187790

This full solution covers the following key subjects: . This expansive textbook survival guide covers 11 chapters, and 401 solutions. The answer to “Let N be an NFA with k states that recognizes some language A.a. Show that if A is nonempty, A contains some string of length at most k. b. Show, by givingan example, that part (a) is not necessarilytrue if you replace both As by A. c. Show that if A is nonempty, A contains some string of length at most 2k. d. Show that the bound given in part (c) is nearly tight; that is, for each k, demonstrate an NFA recognizing a language Ak where Ak is nonempty and where Aks shortest member strings are of length exponential in k. Come as close to the bound in (c) as you can.” is broken down into a number of easy to follow steps, and 113 words. The full step-by-step solution to problem: 1.64 from chapter: 1 was answered by , our top Science solution expert on 01/05/18, 06:19PM. This textbook survival guide was created for the textbook: Introduction to the Theory of Computation, edition: 3. Since the solution to 1.64 from 1 chapter was answered, more than 524 students have viewed the full step-by-step answer. Introduction to the Theory of Computation was written by and is associated to the ISBN: 9781133187790.