Test Hilbert

Jan Burse, erstellt 03. Jul 2019
/**
* sto/1 test hilbert proof.
*
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:- current_prolog_flag(dialect, jekejeke)
-> use_module(library(term/herbrand)); true.
:- current_prolog_flag(dialect, swi)
-> use_module('../compat/herbrand.p'); true.
% :- (current_prolog_flag(dialect, sicstus) ->
% use_module('../compat/herbrand2.p'); true).
:- current_prolog_flag(dialect, sicstus)
-> use_module('../compat/herbrand3.p'); true.
% hilbert(-Integer)
hilbert((p->(p->f)->f), 13, N).
% hilbert(+Formula, +Integer, -Integer)
hilbert(F, N, M) :-
N > 0,
H is N-1,
hilbert2(F, H, M).
% hilbert2(+Formula, +Integer, -Integer)
hilbert2((A->_->A), N, N).
hilbert2(((A->B->C)->(A->B)->A->C), N, N).
hilbert2(B, N, M) :-
sto(A),
hilbert((A->B), N, H),
hilbert(A, H, M).

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