X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=week1.mdwn;h=8d1ad0dd3a0ec34188415d1b6d76dc817c1956f2;hp=2c686583929b8e65d537b04ada523f7909c45813;hb=75b0a95a29b968c3a6c42c04bdb4a908f586cd15;hpb=74149f64a2c684075745513abc97730f034a65d4
diff --git a/week1.mdwn b/week1.mdwn
index 2c686583..8d1ad0dd 100644
--- a/week1.mdwn
+++ b/week1.mdwn
@@ -57,18 +57,20 @@ 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:
- x
- (y x)
- (x x)
- (\x y)
- (\x x)
- (\x (\y x))
- (x (\x x))
- ((\x (x x)) (\x (x x)))
+
+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