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AutomataTheory
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1.
Alph:
Type
2.
S:
ActionSet(Alph)
3.
s:
S.car
4.
Fin(Alph)
5.
Fin(S.car)
6.
LL:
(S.car
S.car*)*
7.
u1:
S.car
8.
u2:
S.car*
9.
v:
(S.car
S.car*)*
10.
BL:
S.car*
11.
t:S.car. mem_f(S.car;t;BL)
(
i:
||v||. 1of(v[i]) = t & mem_f(S.car;s;2of(v[i])))
12.
mem_f(S.car;s;u2)
13.
t:
S.car
14.
mem_f(S.car;t;BL)
15.
i:
||v||
16.
1of(v[i]) = t
17.
mem_f(S.car;s;2of(v[i]))
i:
(||v||+1). 1of(( < u1,u2 > .v)[i]) = t & mem_f(S.car;s;2of(( < u1,u2 > .v)[i]))
By:
InstConcl [i+1]
THEN
Unfold `select` 0
THEN
RecUnfold `nth_tl` 0
THEN
SplitOnConclITE
THEN
Reduce 0
Generated subgoals:
1
18.
0 < i+1
1of(hd(nth_tl(i+1-1;v))) = t
2
18.
0 < i+1
mem_f(S.car;s;2of(hd(nth_tl(i+1-1;v))))
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