week1: fix markup processing?

[lambda.git] / week1.mdwn

diff --git a/week1.mdwn b/week1.mdwn
index 388fb9f..6773a77 100644 (file)
--- a/week1.mdwn
+++ b/week1.mdwn
@@ -57,26 +57,24 @@ 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:
 
-<blockquote><code>
-x
-(y x)
-(x x)
-(\x y)
-(\x x)
-(\x (\y x))
-(x (\x x))
-((\x (x x)) (\x (x x)))
-</code></blockquote>
+       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
 "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**.
 
@@ -605,6 +603,7 @@ Here's how it looks to say the same thing in various of these languages.
 
        It's easy to be lulled into thinking this is a kind of imperative construction. *But it's not!* It's really just a shorthand for the compound "let"-expressions we've already been looking at, taking the maximum syntactically permissible scope. (Compare the "dot" convention in the lambda calculus, discussed above.)
 
+<!-- 
 
 9.     Some shorthand
 
@@ -682,6 +681,7 @@ Here's how it looks to say the same thing in various of these languages.
 
        When a previously-bound variable is rebound in the way we see here, that's called **shadowing**: the outer binding is shadowed during the scope of the inner binding.
 
+-->
 
 Some more comparisons between Scheme and OCaml
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