X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=week1.mdwn;h=36ebdfcc6a48bf72288e2023a0186b9c6665de2d;hp=e8154e3cdcf1fbe6c21828c266662113bc7f9971;hb=7587d77529de78e4257c1f101ca2b1df2988d493;hpb=0ee155bce94a1150ab4e1a54088e994c6af8b672

diff --git a/week1.mdwn b/week1.mdwn
index e8154e3c..36ebdfcc 100644
--- a/week1.mdwn
+++ b/week1.mdwn
@@ -57,7 +57,7 @@ We'll tend to write <code>(&lambda;a M)</code> as just `(\a M)`, so we don't hav
 <strong>Application</strong>: <code>(M N)</code>
 </blockquote>
 
-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'll probably just say "term" and "expression" indiscriminately for expressions of any of these three forms.
 
 Examples of expressions:
 
@@ -70,9 +70,11 @@ 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:
+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)
+	((\ a M) N)
 
 that is, an application of an abstract to some other expression. This compound form is called a **redex**, meaning it's a "beta-reducible expression." `(\a M)` is called the **head** of the redex; `N` is called the **argument**, and `M` is called the **body**.