X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=week1.mdwn;h=48784ca90cd7170c178bdb6a932564a70ebb0624;hp=a5e697a5026751b9fb6b261f657cd2f91f69c99a;hb=31d7494ad059928e34959d4409a852278e9c2193;hpb=aa82fa84a083b7b90862f5f4c368f07dd62ae717
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@@ -57,18 +57,11 @@ 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:
+
+ 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: