X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=using_the_programming_languages.mdwn;h=6952e4995bbddbabd71a24cd0c4ed64462947a22;hp=deef2ee1c0894b874d79188a80fb2915d73c82c2;hb=b19700a93e5cd8137872f9727c734f4f9c953b89;hpb=701e1a701a0275a6a0294cba81df0e1984fa2768

diff --git a/using_the_programming_languages.mdwn b/using_the_programming_languages.mdwn
index deef2ee1..6952e499 100644
--- a/using_the_programming_languages.mdwn
+++ b/using_the_programming_languages.mdwn
@@ -43,8 +43,17 @@ know much OCaml yet to use it. Using it looks like this:
 		let add = << fun m n -> n $succ$ m >>;;
 		(* or *)
 		let add = << fun m n -> fun s z -> m s (n s z) >>;;
-
-		church_to_int << $add$ $one$ $two$ >>;;
+		.
+		(* now use:
+			pp FORMULA				to print a formula, unreduced
+			pn FORMULA				to print the normal form of a formula (when possible)
+			pi FORMULA				to print the integer which FORMULA is a Church numeral for (when possible)
+		.
+			alpha_eq FORM1 FORM2	are FORM1 and FORM2 syntactically equivalent (up to alpha-conversion)?
+									this does not do reductions on the formulae
+		*)
+		.
+		pi << $add$ $one$ $two$ >>;;
 		- : int = 3
 
 	To install this package, here's what you need to do. I've tried to explain it in basic terms, but you do need some familiarity with your operating system: for instance, how to open a Terminal window, how to figure out what directory the Terminal is open to (use `pwd`); how to change directories (use `cd`); and so on.