X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=week3.mdwn;h=d9c536112218408d951f817641c7d8a5d45ac08f;hp=5d05c700b44cd86f8c6d3b541ee2dc58ab78cfad;hb=70fdac4d0a4db28dc391e3ea13b9c590b6ef9760;hpb=20da31063b4f8c95e219e7364512054e72b6db44 diff --git a/week3.mdwn b/week3.mdwn index 5d05c700..d9c53611 100644 --- a/week3.mdwn +++ b/week3.mdwn @@ -340,9 +340,7 @@ Two of the simplest:
Θ′ ≡ (\u f. f (\n. u u f n)) (\u f. f (\n. u u f n))
 Y′ ≡ \f. (\u. f (\n. u u n)) (\u. f (\n. u u n))
-Θ′ has the advantage that f (Θ′ f) really *reduces to* Θ′ f. - -f (Y′ f) is only convertible with Y′ f; that is, there's a common formula they both reduce to. For most purposes, though, either will do. +Θ′ has the advantage that f (Θ′ f) really *reduces to* Θ′ f. Whereas f (Y′ f) is only *convertible with* Y′ f; that is, there's a common formula they both reduce to. For most purposes, though, either will do. You may notice that both of these formulas have eta-redexes inside them: why can't we simplify the two `\n. u u f n` inside Θ′ to just `u u f`? And similarly for Y′?