X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=week1.mdwn;h=329333cb85b698af3383539ecb790cc4fc6245ed;hp=5c596c78587a6324db858d5022136c5b81a35953;hb=861a275d5267b60e23de37437e5ad7a7612986c7;hpb=84acc7f9a8742c9392478f96be04d3be827be696 diff --git a/week1.mdwn b/week1.mdwn index 5c596c78..329333cb 100644 --- a/week1.mdwn +++ b/week1.mdwn @@ -57,22 +57,13 @@ 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))) - ->   +> 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: +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)