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AutomataTheory
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1.
Alph:
Type
2.
St:
Type
3.
NDA:
NDA(Alph;St)
4.
Fin(St)
5.
x,y:St, a:Alph. Dec(
NDA(x,a,y))
6.
y:St. Dec(I(NDA) = y)
7.
g:
St
8.
t:St. I(NDA) = t
g(t)
9.
f:(St
). Dec(
s:St. f(s) & F(NDA)(s))
10.
g1:
(St
)
11.
t:(St
). (
s:St. t(s) & F(NDA)(s))
g1(t)
12.
f:(St
), a:Alph, y:St. Dec(
s:St. f(s) &
NDA(s,a,y))
DA:Automata(Alph;St
). L(NDA) = LangOf(DA)
By:
Inst
Thm*
f:(T
Prop). (
t:T. Dec(f(t)))
(
g:(T
).
t:T. f(t)
g(t)) [(St
)
Alph
St;
t.
s:St. 1of(t)(s) &
NDA(s,1of(2of(t)),2of(2of(t)))]
Generated subgoals:
1
t:((St
)
Alph
St). Dec((
t.
s:St. 1of(t)(s) &
NDA(s,1of(2of(t)),2of(2of(t))))(t))
2
13.
g:((St
)
Alph
St
).
t:((St
)
Alph
St). (
t.
s:St. 1of(t)(s) &
NDA(s,1of(2of(t)),2of(2of(t))))(t)
g(t)
DA:Automata(Alph;St
). L(NDA) = LangOf(DA)
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