X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?a=blobdiff_plain;f=week1.mdwn;h=af079edf543c975f90a646c8d4ea6a8625cd6454;hb=2b49dd93ee877d3a9f868933c9113fbbda94df88;hp=a5e697a5026751b9fb6b261f657cd2f91f69c99a;hpb=cf87edfd9d4cb5026287b39b190797ef72237f19;p=lambda.git
diff --git a/week1.mdwn b/week1.mdwn
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--- a/week1.mdwn
+++ b/week1.mdwn
@@ -57,18 +57,9 @@ 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.
-
-Examples of expressions:
-
- x
- (y x)
- (x x)
- (_x y)
- (_x x)
- (_x (_y x))
- (x (_x x))
- ((_x (x x)) (_x (x x)))
+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.
+
+Samples of expressions
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: