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- Newsgroups: comp.lang.prolog
- Path: sparky!uunet!mcsun!julienas!irisa!ridoux
- From: ridoux@irisa.fr (Olivier Ridoux)
- Subject: Unification of rational terms
- Message-ID: <1992Dec23.100438.20247@irisa.fr>
- Sender: news@irisa.fr
- Organization: IRISA, Rennes (Fr)
- Date: Wed, 23 Dec 92 10:04:38 GMT
- Lines: 41
-
- Bart Demoen writes:
- > Supporting rational tree unification (and conservation of sharing during
- > some built-in predicates - which is a consequence of fully supporting cyclic
- ^^^^^^^^^^^
- > terms) can actually speed up some programs quite a lot.
-
- WEll, Well, well. I like to be shightly more precise and show that
- rational term unification and conservation of sharing are rather
- independent.
-
- The minimum that rational tree unification must do is to remember
- every pair of equivalent terms in the current branch of the current
- unification problem. It will not buy you much conservation of
- sharing. The maximum it can do is to remember every pair of
- equivalent terms in the current branch of the search-tree. This will
- buy you the maximum conservation of sharing.
-
- In this context, "equivalent" means "made equivalent by unification".
- Those terms that are equivalent without the help of unification may
- well never be recognised as equivalent.
-
- One might want to stick to the minimum for avoiding special trailing
- and backtracking operations for handling the storing and unstoring of
- equivalent pairs, and to benefit from the recursive control of
- unification. However, modern Prolog implementations already have
- these special operations (for handling contraints, term rewriting or
- whatever ...). It would be rather mean of these implementations not
- to give the maximum.
-
- Note also, that remembering pairs of equivalent terms in the current
- branch of the search-tree is also feasible and usefull for finite term
- unification. It improves memory representation and unification (if it
- is smart enough to detect physically equal terms).
-
- Moral: rational term unification and conservation of sharing are
- rather independent issues. Even if they use similar techniques.
-
- Hoping it helps,
-
- Olivier Ridoux
-
-