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[Caml-list] equi-recursive Fold isomorphism
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Date: 2002-07-27 (17:32)
From: John Max Skaller <skaller@o...>
Subject: [Caml-list] equi-recursive Fold isomorphism
Given a recursive type

    Fix 'a .  T  (where 'a occurs in T)

we can unfold the type to T' = T['a -> Fix 'a.T],
we define unfold t = t, if t doesn't start with a fixpoint operator.

Any ideas how to best implement fold, the inverse isomorphism?

Brute force method: examine every subterm, and compare with
the main term using equi-recusive comparison .. this seems quadratic
in the number of nodes .. smarter method: only compare arguments
of fixpoint binders .. can we do any better? For example,
replace the subterm in the main term with a fixpoint variable, and compare
the subterm with the modified main term (directly, ie. using ocaml 
[I don't know how to do this 'replacement' efficiently though]

John Max Skaller, mailto:skaller@ozemail.com.au
snail:10/1 Toxteth Rd, Glebe, NSW 2037, Australia.

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