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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))
13.
g2:
(St
)
Alph
St
14.
t:((St
)
Alph
St). (
s:St. 1of(t)(s) &
NDA(s,1of(2of(t)),2of(2of(t))))
g2(t)
15.
g0:
(St
)
Alph
St
16.
ds:(St
), a:Alph, y:St. (
s:St. ds(s) &
NDA(s,a,y))
g0(ds,a,y)
17.
l:
Alph*
18.
< g0,g,g1 >
Automata(Alph;St
)
19.
m:
Alph*
q:St. NDA(m)
q
(Result( < g0,g,g1 > )m)(q)
By:
ListInd 19
Generated subgoals:
1
q:St. NDA(nil)
q
(Result( < g0,g,g1 > )nil)(q)
2
20.
u:
Alph
21.
v:
Alph*
22.
q:St. NDA(v)
q
(Result( < g0,g,g1 > )v)(q)
q:St. NDA(u.v)
q
(Result( < g0,g,g1 > )u.v)(q)
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