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Definitions
det
automata
Sections
AutomataTheory
Doc
At:
reach
lemma
1
1
2
2
2
1
2
1.
Alph:
Type
2.
S:
ActionSet(Alph)
3.
si:
S.car
4.
nn:
5.
f:
nn
Alph
6.
g:
Alph
nn
7.
Fin(S.car)
8.
InvFuns(
nn; Alph; f; g)
9.
k:
10.
0 < k
11.
k
nn
12.
RLa:
S.car*
13.
i:{1..1
}, a:Alph. si = S.act(a,[si][i])
False
mem_f(S.car;S.act(a,[si][i]);RLa)
14.
a:Alph. g(a) < k-1
si = S.act(a,si)
False
mem_f(S.car;S.act(a,si);RLa)
15.
s:S.car. mem_f(S.car;s;RLa)
(
w:Alph*. (S:w
si) = s)
16.
s:
S.car
17.
mem_f(S.car;s;S.act(f(k-1),si).RLa)
w:Alph*. (S:w
si) = s
By:
Reduce -1
THEN
Analyze -1
Generated subgoals:
1
17.
S.act(f(k-1),si) = s
w:Alph*. (S:w
si) = s
2
17.
mem_f(S.car;s;RLa)
w:Alph*. (S:w
si) = s
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