diff --git a/TypeTheoryAndFormalProof第3章.pdf b/TypeTheoryAndFormalProof第3章.pdf index e5a2ecd..a380b76 100644 Binary files a/TypeTheoryAndFormalProof第3章.pdf and b/TypeTheoryAndFormalProof第3章.pdf differ diff --git a/TypeTheoryAndFormalProof第3章.typ b/TypeTheoryAndFormalProof第3章.typ index 3fcfde4..9c6abc3 100644 --- a/TypeTheoryAndFormalProof第3章.typ +++ b/TypeTheoryAndFormalProof第3章.typ @@ -47,4 +47,8 @@ $(lambda alpha : ast . lambda x : alpha . x ) (\b\o\o\l->\n\a\t) $ $arrow.twohead.r_beta lambda x : (\b\o\o\l->\n\a\t) . space x$ -然而我們需要$beta$-reduction \ No newline at end of file +然而我們需要$beta$-reduction,之後介紹。 + +第二個範例,就是關於iteration迭代。 + +設有型別$delta$,和函數$F : delta->delta$,定義$D_(delta,F)$是函數,$lambda x : delta . F(F(x))$。所以$D_(delta,F)$是$F$的第二迭代,也標記為$D circle.stroked.small D$。 \ No newline at end of file