X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=week1.mdwn;h=cacb73fc61c4d49d4b4afa2cf2c4df05d533447e;hp=897ef1f8ae37429e35509fd2cd0a8de984c12abc;hb=9a4224ba2c49f246262dd164b7a9102c3ad64fd5;hpb=ce1b2e16033c1a6757aa33952e1be0aefd3155e6 diff --git a/week1.mdwn b/week1.mdwn index 897ef1f8..cacb73fc 100644 --- a/week1.mdwn +++ b/week1.mdwn @@ -59,18 +59,7 @@ 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. -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 "beta-contraction". Suppose you have some expression of the form: +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)