X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=week1.mdwn;h=af079edf543c975f90a646c8d4ea6a8625cd6454;hp=5c596c78587a6324db858d5022136c5b81a35953;hb=2b49dd93ee877d3a9f868933c9113fbbda94df88;hpb=c1a371c8bd84f3ee2d03c10b3aa622f45eea5461 diff --git a/week1.mdwn b/week1.mdwn index 5c596c78..af079edf 100644 --- a/week1.mdwn +++ b/week1.mdwn @@ -57,22 +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))) - ->   - -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)