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Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

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Section
BuyFindarrow_forward

Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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Prove property (12.3.6).

To determine

To prove:

That if two states in a finite-state automaton are k equivalent then these states are * equivalent.

Explanation

Given information:

For a finite-state automaton, there are two k equivalent states for every integer k0.

Proof:

Let A be a finite-state automaton that has a set of states S. Suppose s and t are two states of S

If s is k equivalent to t, sRkt then the eventual function Nk for an input string w that the length is less than or equal k where k0.

Nk(s,w)Nk(t,w)

If Nk(s,w) is a non accepting state, then Nk(t,w) is also a non accepting state.

Or,

Nk(s,w) is an accepting state, then Nk(t,w) is an accepting state

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Chapter 12 Solutions

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Sect-12.1 P-11TYSect-12.1 P-12TYSect-12.1 P-1ESSect-12.1 P-2ESSect-12.1 P-3ESSect-12.1 P-4ESSect-12.1 P-5ESSect-12.1 P-6ESSect-12.1 P-7ESSect-12.1 P-8ESSect-12.1 P-9ESSect-12.1 P-10ESSect-12.1 P-11ESSect-12.1 P-12ESSect-12.1 P-13ESSect-12.1 P-14ESSect-12.1 P-15ESSect-12.1 P-16ESSect-12.1 P-17ESSect-12.1 P-18ESSect-12.1 P-19ESSect-12.1 P-20ESSect-12.1 P-21ESSect-12.1 P-22ESSect-12.1 P-23ESSect-12.1 P-24ESSect-12.1 P-25ESSect-12.1 P-26ESSect-12.1 P-27ESSect-12.1 P-28ESSect-12.1 P-29ESSect-12.1 P-30ESSect-12.1 P-31ESSect-12.1 P-32ESSect-12.1 P-33ESSect-12.1 P-34ESSect-12.1 P-35ESSect-12.1 P-36ESSect-12.1 P-37ESSect-12.1 P-38ESSect-12.1 P-39ESSect-12.1 P-40ESSect-12.1 P-41ESSect-12.2 P-1TYSect-12.2 P-2TYSect-12.2 P-3TYSect-12.2 P-4TYSect-12.2 P-5TYSect-12.2 P-6TYSect-12.2 P-7TYSect-12.2 P-8TYSect-12.2 P-9TYSect-12.2 P-10TYSect-12.2 P-1ESSect-12.2 P-2ESSect-12.2 P-3ESSect-12.2 P-4ESSect-12.2 P-5ESSect-12.2 P-6ESSect-12.2 P-7ESSect-12.2 P-8ESSect-12.2 P-9ESSect-12.2 P-10ESSect-12.2 P-11ESSect-12.2 P-12ESSect-12.2 P-13ESSect-12.2 P-14ESSect-12.2 P-15ESSect-12.2 P-16ESSect-12.2 P-17ESSect-12.2 P-18ESSect-12.2 P-19ESSect-12.2 P-20ESSect-12.2 P-21ESSect-12.2 P-22ESSect-12.2 P-23ESSect-12.2 P-24ESSect-12.2 P-25ESSect-12.2 P-26ESSect-12.2 P-27ESSect-12.2 P-28ESSect-12.2 P-29ESSect-12.2 P-30ESSect-12.2 P-31ESSect-12.2 P-32ESSect-12.2 P-33ESSect-12.2 P-34ESSect-12.2 P-35ESSect-12.2 P-36ESSect-12.2 P-37ESSect-12.2 P-38ESSect-12.2 P-39ESSect-12.2 P-40ESSect-12.2 P-41ESSect-12.2 P-42ESSect-12.2 P-43ESSect-12.2 P-44ESSect-12.2 P-45ESSect-12.2 P-46ESSect-12.2 P-47ESSect-12.2 P-48ESSect-12.2 P-49ESSect-12.2 P-50ESSect-12.2 P-51ESSect-12.2 P-52ESSect-12.2 P-53ESSect-12.2 P-54ESSect-12.3 P-1TYSect-12.3 P-2TYSect-12.3 P-3TYSect-12.3 P-4TYSect-12.3 P-5TYSect-12.3 P-1ESSect-12.3 P-2ESSect-12.3 P-3ESSect-12.3 P-4ESSect-12.3 P-5ESSect-12.3 P-6ESSect-12.3 P-7ESSect-12.3 P-8ESSect-12.3 P-9ESSect-12.3 P-10ESSect-12.3 P-11ESSect-12.3 P-12ESSect-12.3 P-13ESSect-12.3 P-14ESSect-12.3 P-15ESSect-12.3 P-16ESSect-12.3 P-17ESSect-12.3 P-18ES