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ISBN: 9781260521337

Author: ROSEN

Publisher: MCG

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Chapter 13.3, Problem 15E

Given a finite-state automaton M = ( S , I , f , s o , F ) , use structural induction and the recursive definition of the extended transition function f to prove that

f ( s , x y ) = f ( f ( s , x ) , y ) for states s ∈ S and all strings x ∈ I and y ∈ I * .

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Chapter 13.3, Problem 14E

Chapter 13.3, Problem 16E

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Chapter 13 Solutions

DISCRETE MATHEMATICS+ITS APPL. (LL)-W/A

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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Given a finite-state automaton M = ( S , I , f , s o , F ) , use structural induction and the recursive definition of the extended transition function f to prove that f ( s , x y ) = f ( f ( s , x ) , y ) for states s ∈ S and all strings x ∈ I and y ∈ I * .

Solution Summary: The author explains structural induction on a deterministic finite-state automaton. They assume the inductive hypothesis that the equation holds for shorter strings and try to prove that f(s,xwa) =

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Chapter 13 Solutions