X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=week1.mdwn;h=af079edf543c975f90a646c8d4ea6a8625cd6454;hp=cacb73fc61c4d49d4b4afa2cf2c4df05d533447e;hb=2b49dd93ee877d3a9f868933c9113fbbda94df88;hpb=9a4224ba2c49f246262dd164b7a9102c3ad64fd5 diff --git a/week1.mdwn b/week1.mdwn index cacb73fc..af079edf 100644 --- a/week1.mdwn +++ b/week1.mdwn @@ -59,6 +59,8 @@ We'll tend to write (λa M) as just `(\a M)`, so we don't hav 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 + 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)