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myhill
nerode
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AutomataTheory
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mn
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1.
Alph:
Type
2.
L:
LangOver(Alph)
3.
EquivRel x,y:Alph*. x L-induced Equiv y
4.
Fin(Alph)
5.
Fin(x,y:Alph*//L-induced Equiv(x,y))
6.
l:Alph*. Dec(L(l))
7.
g:
Alph*
8.
t:Alph*. L(t)
g(t)
9.
x1:
Alph*
10.
x2:
Alph*
11.
z:Alph*. L(z @ x1)
L(z @ x2)
12.
L(nil @ x1)
L(nil @ x2)
g(x1) = g(x2)
By:
Reduce -1
Generated subgoal:
1
12.
L(x1)
L(x2)
g(x1) = g(x2)
About:
L(x2)
g(x1) = g(x2)
l:Alph*. Dec(L(l))
t:Alph*. L(t) g(t)z:Alph*. L(z @ x1) L(z @ x2) L(nil @ x2) g(x1) = g(x2) L(x2) g(x1) = g(x2)
