X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=week1.mdwn;h=e7061a81fb07747bebde43e1709d976d4a8b10ce;hp=cacb73fc61c4d49d4b4afa2cf2c4df05d533447e;hb=2b16a9953de04222b4a05a4cfee4d0c12c3c7fc9;hpb=4400e0ff673a6a5d642da62977098a5ce777e8e9 diff --git a/week1.mdwn b/week1.mdwn index cacb73fc..e7061a81 100644 --- a/week1.mdwn +++ b/week1.mdwn @@ -59,6 +59,10 @@ 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: + + 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: ((\a M) N)