From mboxrd@z Thu Jan 1 00:00:00 1970 Received: (from majordomo@localhost) by pauillac.inria.fr (8.7.6/8.7.3) id WAA01989; Sat, 3 Aug 2002 22:03:33 +0200 (MET DST) X-Authentication-Warning: pauillac.inria.fr: majordomo set sender to owner-caml-list@pauillac.inria.fr using -f Received: from nez-perce.inria.fr (nez-perce.inria.fr [192.93.2.78]) by pauillac.inria.fr (8.7.6/8.7.3) with ESMTP id WAA02027 for ; Sat, 3 Aug 2002 22:03:32 +0200 (MET DST) Received: from sunny.pacific.net.au (sunny.pacific.net.au [203.25.148.40]) by nez-perce.inria.fr (8.11.1/8.11.1) with ESMTP id g73K3Sf09481 for ; Sat, 3 Aug 2002 22:03:29 +0200 (MET DST) Received: from wisma.pacific.net.au (wisma.pacific.net.au [210.23.129.72]) by sunny.pacific.net.au with ESMTP id g73K3PSs013100 for ; Sun, 4 Aug 2002 06:03:25 +1000 (EST) Received: from ozemail.com.au (ppp79.dyn17.pacific.net.au [61.8.17.79]) by wisma.pacific.net.au with ESMTP id GAA14532 for ; Sun, 4 Aug 2002 06:03:24 +1000 (EST) Message-ID: <3D4C370B.1050201@ozemail.com.au> Date: Sun, 04 Aug 2002 06:03:23 +1000 From: John Max Skaller User-Agent: Mozilla/5.0 (X11; U; Linux i686; en-US; rv:0.9.2.1) Gecko/20010901 X-Accept-Language: en-us MIME-Version: 1.0 To: caml-list@inria.fr Subject: [Caml-list] fixpoint Content-Type: text/plain; charset=us-ascii; format=flowed Content-Transfer-Encoding: 7bit Sender: owner-caml-list@pauillac.inria.fr Precedence: bulk Excuse dumb question about lambda calculus. I'm using a typed lambda calculus for a kinding system (the types are TYPE, TYPE->TYPE etc). I'm uncertain how to handle recursion though. Example: list a = 1 + a * list a or list = fix f . fun a. 1 + a * f a now we need: list int = 1 + int * list int or list int = fix x . 1 + int * x which suggests the following reduction: fix f . fun x . e ==> fix z . e [f x -> z] Well, the rule works in this case. Will it always work? -- John Max Skaller, mailto:skaller@ozemail.com.au snail:10/1 Toxteth Rd, Glebe, NSW 2037, Australia. voice:61-2-9660-0850 ------------------- To unsubscribe, mail caml-list-request@inria.fr Archives: http://caml.inria.fr Bug reports: http://caml.inria.fr/bin/caml-bugs FAQ: http://caml.inria.fr/FAQ/ Beginner's list: http://groups.yahoo.com/group/ocaml_beginners