   Chapter 12.2, Problem 50ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# Write a computer algorithm that simulates the act ion of the finite-state automaton of exercise 8 by repeated application of the next-state function.

To determine

Write a computer algorithm that simulates the action of the given finite-state automaton by repeated application of the next-state function.

Explanation

Given information:

Calculation:

The input of the algorithm is the finite-state automaton, which are the states s0s1 and s2, the input string aa,...a[n], and the functions N(si,k) which represents the state sj for which there is an arrow from si to sj with label k.

Input:

S0[Initial state], s2[Accepting state], a  a ,…, a [ n ] [input string],, N ( s0, 0) =

s1, N ( s0, 1) = s2, N ( s1, 0) = s1, N ( s1, 1) = s2, N ( s2, 0) = s1, N ( s2, 1) = s2[transitions of the transition diagram]

We first determine the final state when the input is aa,

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