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1.40 Recall that string x is a prefix of string y if a string z exists where az = y, and that x is a proper prefix of y if in addition xy. In each of the following parts, we define an operation on a language A. Show that the class of regular languages is closed under that operation. Aa. NOPREFIX (A) = {w € A| no proper prefix of w is a member of A}. b. NOEXTEND (A) = {w € A w is not the proper prefix of any string in A}.

1.40 Recall that string x is a prefix of string y if a string z exists where az = y, and that x is a proper prefix of y if in addition xy. In each of the following parts, we define an operation on a language A. Show that the class of regular languages is closed under that operation. Aa. NOPREFIX (A) = {w € A| no proper prefix of w is a member of A}. b. NOEXTEND (A) = {w € A w is not the proper prefix of any string in A}.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Hello, 

can you please help me with this problem and the part, I only need help is wirh part B and not only part B I need help with.

can you explain it step by step and can you add something visual to help me understand it better. Can you label part B 

1.40 Recall that string x is a prefix of string y if a string z exists where xz = y, and that x is a proper prefix of y if in addition xy. In each of the following parts, we define an operation on a language A. Show that the class of regular languages is closed under that operation. Aa. NOPREFIX (A) = {w E A| no proper prefix of w is a member of A}. b. NOEXTEND(A) = {w E A w is not the proper prefix of any string in A}.
Transcribed Image Text:1.40 Recall that string x is a prefix of string y if a string z exists where xz = y, and that x is a proper prefix of y if in addition xy. In each of the following parts, we define an operation on a language A. Show that the class of regular languages is closed under that operation. Aa. NOPREFIX (A) = {w E A| no proper prefix of w is a member of A}. b. NOEXTEND(A) = {w E A w is not the proper prefix of any string in A}.
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