28 lines
424 B
OpenEdge ABL
28 lines
424 B
OpenEdge ABL
|
include('Axioms/LIST-ROZEK.ax').
|
||
|
|
|
||
|
|
% Definition
|
||
|
|
tff(gezero_t, type, gezero: list > $o).
|
||
|
|
|
||
|
|
tff(gezero, axiom,
|
||
|
|
![L: list]: (gezero(L) <=> $greatereq(length(L), 0))
|
||
|
|
).
|
||
|
|
|
||
|
|
% Induction Axiom
|
||
|
|
|
||
|
|
tff(gezero_induction, axiom,
|
||
|
|
(gezero(nil) &
|
||
|
|
![H: $int, T: list]: (
|
||
|
|
gezero(T) => gezero(cons(H, T))
|
||
|
|
))
|
||
|
|
=>
|
||
|
|
![L: list]: (
|
||
|
|
gezero(L)
|
||
|
|
)
|
||
|
|
).
|
||
|
|
|
||
|
|
% Problem
|
||
|
|
|
||
|
|
tff(goal, conjecture,
|
||
|
|
![L: list]: gezero(L)
|
||
|
|
).
|