X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=week1.mdwn;h=db74d7c7f906e09ba2995a71cbadf35d475e5740;hp=fa1abce41be7d0266b907aaa981967797b4991a0;hb=18ed46593f0f9f93ed365c7736f3a65a767f43b0;hpb=1ce429f4137a261e6a93d6d7e63787697c66e0a9 diff --git a/week1.mdwn b/week1.mdwn index fa1abce4..db74d7c7 100644 --- a/week1.mdwn +++ b/week1.mdwn @@ -57,20 +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. +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: +Samples of expressions: - x - (y x) - (x x) - (\x y) - (\x x) - (\x (\y x)) - (x (\x x)) - ((\x (x x)) (\x (x x))) - -lthough. + 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: