X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=week1.mdwn;h=e7061a81fb07747bebde43e1709d976d4a8b10ce;hp=fa1abce41be7d0266b907aaa981967797b4991a0;hb=2b16a9953de04222b4a05a4cfee4d0c12c3c7fc9;hpb=1ce429f4137a261e6a93d6d7e63787697c66e0a9
diff --git a/week1.mdwn b/week1.mdwn
index fa1abce4..e7061a81 100644
--- a/week1.mdwn
+++ b/week1.mdwn
@@ -57,20 +57,11 @@ 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:
+Samples of expressions:
- x
- (y x)
- (x x)
- (\x y)
- (\x x)
- (\x (\y x))
- (x (\x x))
- ((\x (x x)) (\x (x x)))
-
-lthough.
+ foo
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: