Let M 1 and M 2 be DFAs that have k1 and k2 states, respectively, and then let U L(M 1 ) L(M 2 ) a Show that if U , then U contains some string s, where s max(k 1 , k 2 ) b Show that if U , then U excludes some string s, where s k 1 k 2 ...

Answer A To prove the above statement first assume that the DFAs M1 and M2 which are taken abovecons ...

Let M 1 and M 2 be DFAs that have k1 and k2 states, respectively, and then

Question:

Let M₁ and M₂ be DFAs that have k1 and k2 states, respectively, and then let

U = L(M₁) ∪ L(M₂).

a. Show that if U ≠ ⌀, then U contains some string s, where |s| < max(k₁, k₂).

b. Show that if U ≠ Σ^*, then U excludes some string s, where |s| < k₁k₂.

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Introduction to the theory of computation

ISBN: 978-0470530658

3rd edition

Authors: Michael Sipser

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Question Posted: Sep 02, 2020 04:15 AM

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Let M 1 and M 2 be DFAs that have k1 and k2 states, respectively, and then

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Answer A To prove the above statement first assume that the DFAs M1 and M2 which are taken abovecons...View the full answer

Introduction to the theory of computation

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