X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=week1.mdwn;h=e7061a81fb07747bebde43e1709d976d4a8b10ce;hp=5c596c78587a6324db858d5022136c5b81a35953;hb=e75bdfe04dfe4891b07601e5a7820234503e2f71;hpb=84acc7f9a8742c9392478f96be04d3be827be696
diff --git a/week1.mdwn b/week1.mdwn
index 5c596c78..e7061a81 100644
--- a/week1.mdwn
+++ b/week1.mdwn
@@ -57,22 +57,13 @@ 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)))
-
->
+ 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:
+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)