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Recall that string x is a prefix of string y if a string z exists where x2 = 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. a. 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}.

Recall that string x is a prefix of string y if a string z exists where x2 = 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. a. 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}.

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
Problem 1PE
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Can you please please help me with this problem and the parts. Can you please show photos or drawing something that will help me visually to help me understand it better.

i only need help is with part B and can you label part B and can you explain it step by step with something visual

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 ¤ 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 ¤ 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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