Consider the machine whose state transition table is 1 So S2 So S2 S3 So S3 S3 Let R= {(So, So), (s, s1), (S2, S2), (S3, s3), (So, S1), (S1, So)} a) Show that Ris a machine congruence b) Construct the digraph for the corresponding quotient machine [S]={So S;}=[S;]; [S;J={s2}and [S3J={s3}

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Consider the machine whose state transition table is
1
So
S2
So
S2
Sz
S3
So
S3
S3
Let R= {{so, So), (S1, s,), (S2, S2), (Sa, S3), (So, Sa), (S1, So)}
a) Show that R is a machine congruence
b) Construct the digraph for the corresponding quotient machine
[So]={_Sa S;}=[S;]; [S;]={s2}and [S3]={s3 }
Transcribed Image Text:Consider the machine whose state transition table is 1 So S2 So S2 Sz S3 So S3 S3 Let R= {{so, So), (S1, s,), (S2, S2), (Sa, S3), (So, Sa), (S1, So)} a) Show that R is a machine congruence b) Construct the digraph for the corresponding quotient machine [So]={_Sa S;}=[S;]; [S;]={s2}and [S3]={s3 }
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