X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=week1.mdwn;h=36ebdfcc6a48bf72288e2023a0186b9c6665de2d;hp=b5a67fa367f2e663ee5e36502a52c700b14e18d6;hb=7587d77529de78e4257c1f101ca2b1df2988d493;hpb=edfcc704a4036cae0f2fd6399b99beb29c493cca diff --git a/week1.mdwn b/week1.mdwn index b5a67fa3..36ebdfcc 100644 --- a/week1.mdwn +++ b/week1.mdwn @@ -59,9 +59,16 @@ 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'll probably just say "term" and "expression" indiscriminately for expressions of any of these three forms. -Examples *of* expressions: +Examples of expressions: x + (y x) + (x x) + (\x y) + (\x x) + (\x (\y x)) + (x (\x x)) + ((\x (x x)) (\x (x x))) 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