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| Date: | -- (:) |
| From: | John Max Skaller <skaller@o...> |
| Subject: | [Caml-list] fixpoint |
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
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