Nuprl - Pf Rl_quo_is_decidable 1 1 1 1 1 1 1

PrintForm Definitions automata 5 Sections AutomataTheory Doc

1. Alph: Type
2. St: Type
3. Auto: Automata(Alph;St)
4. Fin(Alph) & Fin(St)
5. x: Alph*
6. y: Alph*
7. n:
8. f: n(x,y:Alph*//(x LangOf(Auto)-induced Equiv y))
9. g: (x,y:Alph*//(x LangOf(Auto)-induced Equiv y))n
10. InvFuns(n; x,y:Alph*//(x LangOf(Auto)-induced Equiv y); f; g)
11. EquivRel x,y:Alph*. x LangOf(Auto)-induced Equiv y

x = y x,y:Alph*//(x LangOf(Auto)-induced Equiv y) g(x) = g(y)

By: Analyze 0 THEN Analyze 0

Generated subgoals:

1 12. x = y x,y:Alph*//(x LangOf(Auto)-induced Equiv y)
g(x) = g(y)

2 12. g(x) = g(y)
x = y x,y:Alph*//(x LangOf(Auto)-induced Equiv y)

About:

1	12. `x = y x,y:Alph*//(x LangOf(Auto)-induced Equiv y)` `g(x) = g(y)`
2	12. `g(x) = g(y)` `x = y x,y:Alph*//(x LangOf(Auto)-induced Equiv y)`