4. Consider the following languages. ANFAFIN = {{N) | N is an NFA and L(N) is finite} EREX = {(R) | R is a regular expression and L(R) = 0} • EQREX = {(R1, R2) | R, and R2 are regular expressions and L(R) = L(R2)} EQ NPAFINSET = {(N, U) | N is an NFA, U is a finite set of words, and L(N) = U} ALLREX = {(R) | R is a regular expression and L(R) = {0,1}*} (a) Answer the following questions based on the NFA N as shown below. Simply say yes or no. (1) Is (N) € ANFAFIN? (ii) Is ((0]1)") E EREX? (iii) Is (00", 0*0) e EQREX?

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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4. Consider the following languages.
ANFAFIN = {{N) | N is an NFA and L(N) is finite}
EREX = {(R) | R is a regular expression and L(R) = 0}
• EQREX = {(R1, R2) | Ry and R2 are regular expressions and L(R;) = L(R2)}
• EQ NFAFINSET = {(N,U) | N is an NFA, U is a finite set of words, and L(N) = U}
• ALLREX = {{R) | R is a regular expression and L(R) = {0,1}*}
%3D
(a) Answer the following questions based on the NFA N as shown below. Simply say yes or no.
1
(i) Is (N) € ANFAFIN?
(ii) Is (0|1)") € EREX?
(iii) Is (00", 0*0) € EQREX?
Transcribed Image Text:4. Consider the following languages. ANFAFIN = {{N) | N is an NFA and L(N) is finite} EREX = {(R) | R is a regular expression and L(R) = 0} • EQREX = {(R1, R2) | Ry and R2 are regular expressions and L(R;) = L(R2)} • EQ NFAFINSET = {(N,U) | N is an NFA, U is a finite set of words, and L(N) = U} • ALLREX = {{R) | R is a regular expression and L(R) = {0,1}*} %3D (a) Answer the following questions based on the NFA N as shown below. Simply say yes or no. 1 (i) Is (N) € ANFAFIN? (ii) Is (0|1)") € EREX? (iii) Is (00", 0*0) € EQREX?
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