PrintForm Definitions myhill nerode Sections AutomataTheory Doc

At: total back listify 1 1 2 2 1 2 1 1

1. Alph: Type
2. S: ActionSet(Alph)
3. sL: S.car*
4. Fin(Alph)
5. Fin(S.car)
6. n:
7. 0 < n
8. TBL: S.car*
9. ||TBL|| = n-1
10. i:||TBL||, j:i. TBL[i] = TBL[j]
11. s:S.car. mem_f(S.car;s;TBL) (w:Alph*. mem_f(S.car;(S:ws);sL))
12. AL: S.car*
13. s:S.car. False (w:Alph*. mem_f(S.car;(S:ws);sL))
14. s:S.car. mem_f(S.car;s;sL) mem_f(S.car;s;TBL) False
15. s:S.car, a:Alph. mem_f(S.car;S.act(a,s);TBL) mem_f(S.car;s;TBL) False
16. s: S.car
17. w: Alph*
18. mem_f(S.car;(S:ws);sL)
19. 0||w||

mem_f(S.car;(S:nth_tl(0;w)s);TBL)

By:
Reduce 0
THEN
FwdThru 14 [18]
THEN
Analyze -1


Generated subgoals:

None


About:
natural_numberuniverselistintless_thanequalsubtract
allimpliesexistsfalseorapply