Talk:Iota and Jot

Split
Maybe we should split this article. --Gp75motorsports (talk) 14:41, 11 December 2007 (UTC)

Exemples
This articles would be more complete with some examples to illustrate theses languages —Preceding unsigned comment added by 213.189.166.156 (talk) 11:32, 15 August 2008 (UTC)

Content is wrong
I think the statement made is not quite korrect: S ≠ U (U (U U)) = K

Assume

S := λf g x. f x (g x) K := λx y. x  U := λf. f S K

then U (U (U U)) →   lookup U    (λf. f S K) (U (U U)) →   β-reduction U (U U) S K →    lookup U    (λf. f S K) (U U) S K  →    β-reduction U U S K S K →    lookup U    (λf. f S K) U S K S K  →    β-reduction U S K S K S K →    lookup U    (λf. f S K) S K S K S K  →    β-reduction S S K K S K S K →    lookup S    (λf g x. f x (g x)) S K K S K S K  →    β-reduction (λg x. S x (g x)) K K S K S K →    β-reduction (λx. S x (K x)) K S K S K →    β-reduction S K (K K) S K S K →    lookup S    (λf g x. f x (g x)) K (K K) S K S K  →    β-reduction (λg x. K x (g x)) (K K) S K S K →    β-reduction (λx. K x (K K x)) S K S K →    β-reduction K S (K K S) K S K →    lookup K    (λx y. x) S (K K S) K S K  →    β-reduction (λy. S) (K K S) K S K →    β-reduction S K S K →    lookup S    (λf g x. f x (g x)) K S K  →    β-reduction (λg x. K x (g x)) S K →    β-reduction (λx. K x (S x)) K →    β-reduction K K (S K) →    lookup K    (λx y. x) K (S K)  →    β-reduction (λy. K) (S K) →    β-reduction K —Preceding unsigned comment added by 95.113.2.125 (talk) 10:58, 4 June 2010 (UTC)