X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=week1.mdwn;h=897ef1f8ae37429e35509fd2cd0a8de984c12abc;hp=fa1abce41be7d0266b907aaa981967797b4991a0;hb=3a08849b14cc00a2a279acd120f3835414ea1a82;hpb=1ce429f4137a261e6a93d6d7e63787697c66e0a9 diff --git a/week1.mdwn b/week1.mdwn index fa1abce4..897ef1f8 100644 --- a/week1.mdwn +++ b/week1.mdwn @@ -57,7 +57,7 @@ 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: @@ -70,9 +70,7 @@ Examples of expressions: (x (\x x)) ((\x (x x)) (\x (x x))) -lthough. - -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)