X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=week1.mdwn;h=2c686583929b8e65d537b04ada523f7909c45813;hp=e65919563b4ac23de3d1140d07172f6e9f141f14;hb=74149f64a2c684075745513abc97730f034a65d4;hpb=7b5614a9122ebf1671f0bf5c7dd5fb35d4c81286 diff --git a/week1.mdwn b/week1.mdwn index e6591956..2c686583 100644 --- a/week1.mdwn +++ b/week1.mdwn @@ -57,7 +57,7 @@ We'll tend to write (λa M) as just `(\a M)`, so we don't hav Application: (M N) -Some authors reserve the term "term" for just variables and abstracts. We won't participate in that convention; we'll probably just say "term" and "expression" indiscriminately for expressions of any of these three forms. +Some *authors* reserve the term "term" for just variables and abstracts. We won't participate in that convention; we'll probably just say "term" and "expression" indiscriminately for expressions of any of these three forms. Examples of expressions: @@ -70,7 +70,6 @@ Examples of expressions: (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: