From: Jim Pryor Date: Thu, 16 Sep 2010 01:09:06 +0000 (-0400) Subject: week1: tweaks X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=commitdiff_plain;h=9a4224ba2c49f246262dd164b7a9102c3ad64fd5;hp=1ce429f4137a261e6a93d6d7e63787697c66e0a9 week1: tweaks Signed-off-by: Jim Pryor --- diff --git a/week1.mdwn b/week1.mdwn index fa1abce4..cacb73fc 100644 --- a/week1.mdwn +++ b/week1.mdwn @@ -57,20 +57,7 @@ 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))) - -lthough. +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. 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: