Question: Show that there is a language A { 0 , 1 } A { 0 , 1 } with the following properties: ( 1 )

Show that there is a language
A
{
0
,
1
}
A{0,1}
with the following properties:
(1) For all
x
in
A
x in A,
x
<=
5
x<=5.
(2) No DFA with fewer than 9 states decides
A
A.

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