X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=week1.mdwn;h=8d1ad0dd3a0ec34188415d1b6d76dc817c1956f2;hp=e8154e3cdcf1fbe6c21828c266662113bc7f9971;hb=75b0a95a29b968c3a6c42c04bdb4a908f586cd15;hpb=0ee155bce94a1150ab4e1a54088e994c6af8b672 diff --git a/week1.mdwn b/week1.mdwn index e8154e3c..8d1ad0dd 100644 --- a/week1.mdwn +++ b/week1.mdwn @@ -61,16 +61,20 @@ Some authors reserve the term "term" for just variables and abstracts. We won't Examples of expressions: - x - (y x) - (x x) - (\x y) - (\x x) - (\x (\y x)) - (x (\x x)) - ((\x (x x)) (\x (x x))) - -The lambda calculus has an associated proof theory. For now, we can regard the proof theory as having just one rule, called the rule of **beta-reduction** or "beta-contraction". Suppose you have some expression of the form: +
+x

+(y x)

+(x x)

+(\x y)

+(\x x)

+(\x (\y x))

+(x (\x x))

+((\x (x x)) (\x (x x)))

+

+ +The lambda calculus has an associated proof theory. For now, we can regard the +proof theory as having just one rule, called the rule of **beta-reduction** or +"beta-contraction". Suppose you have some expression of the form: ((\a M) N)