Article View: net.lang.prolog
Article #752Re: fixed points
From: Bjorn Danielsson
Date: Sat, 30 Aug 1986 06:48
Date: Sat, 30 Aug 1986 06:48
47 lines
2263 bytes
2263 bytes
In article <8608250740.AA00215@ucbvax.Berkeley.EDU>
PGW@XX.LCS.MIT.EDU (Paul G. Weiss) writes:
>Ideally, I would like to find a one-clause predicate fixed/1, with the
>property that fixed(Term) is true of the Term which is the clause that
>defines fixed/1.
I have found a solution, but it requires an extra predicate that interprets
a "represented" clause and melts it into a lower level of representation.
Using an extra predicate might seem like cheating, especially if you write
something like:
fixed(X) :- cheat(X). cheat((fixed(X) :- cheat(X))).
However, the extra predicate in my solution contains no information about
the problem. The program follows:
fixed(X) :- Y = (-z = (fixed(quote(-x)) :- quote(-y) = build_quote(-y),
-y,
melt(quote(-z),quote(-x)))),
Z = (fixed(-x) :- -y = quote(Y),
Y,
melt(-z,-x)),
melt(Z,X).
% melt(X,Y) interprets the representation X of a clause fragment,
% and unifies Y with the most general term it represents.
% -(foo) represents the variable _foo.
% quote(C) represents the constant C.
% build_quote(X) represents the term quote(Y), where X is a term
% that represents Y.
% Everything else has its usual meaning.
melt(X,Y) :- melt(X,Y,_).
melt(quote(X),X,_).
melt(build_quote(X),quote(Y),L) :- melt(X,Y,L).
melt(-X,V,L) :- member([X|V],L).
melt([A|B],[X|Y],L) :- melt(A,X,L), melt(B,Y,L).
melt([],[],_).
melt(A,X,L) :- A=..[F|B], melt(B,Y,L), X=..[F|Y].
melt(A,A,_).
member(X,[Y|Z]) :- X=Y; member(X,Z).
% End of program
--
Bjorn Danielsson, ZYX, +46 8 653205, ...mcvax!enea!zyx!bd
Technical Details
Message-ID:
<177@zyx.UUCP>Path:
arc1-ca.pugleaf.net!utzoo!mnetor!seismo!mcvax!enea!zyx!bdReferences:
<8608250740.AA00215@ucbvax.Berkeley.EDU>Show Full Headers
Complete Article Headers
Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Path: arc1-ca.pugleaf.net!utzoo!mnetor!seismo!mcvax!enea!zyx!bd From: bd@zyx.UUCP (Bjorn Danielsson) Newsgroups: net.lang.prolog Subject: Re: fixed points Message-ID: <177@zyx.UUCP> Date: Sat, 30-Aug-86 02:48:13 EDT Article-I.D.: zyx.177 Posted: Sat Aug 30 02:48:13 1986 Date-Received: Sun, 31-Aug-86 20:00:06 EDT References: <8608250740.AA00215@ucbvax.Berkeley.EDU> Reply-To: bd@zyx.UUCP (Bjorn Danielsson) Organization: ZYX AB, Stockholm, Sweden Lines: 47