An ISO term_variables/2 for Cyclic Terms (Was: Cyclic term predicates suffer from ambiguity)

From	Mild Shock <janburse@fastmail.fm>
Newsgroups	comp.lang.prolog
Subject	An ISO term_variables/2 for Cyclic Terms (Was: Cyclic term predicates suffer from ambiguity)
Date	2025-08-01 03:01 +0200
Message-ID	<106h3kt$3677k$3@solani.org> (permalink)
References	<db903ba2-8ccd-418e-bd18-a9eb381cd222n@googlegroups.com> <e5616850-37a8-46fd-b2a8-e3ca252b8a5an@googlegroups.com> <vgvsb7$3e31$1@solani.org> <106h2qj$366se$1@solani.org>

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Here is an implementation that doesn’t suffer from
the same anomaly. I get these results:

?- test1(X), term_vars(X, [V,W]).
X = f(g(X, W), V).

?- test2(X), term_vars(X, [V,W]).
X = f(_S1, V), % where
     _S1 = g(f(_S1, V), W).

Only the algorithm is a little expensive. Whats
annonying that I backtrack over a bisimulation
equals. And can only collect the union find store

during a sucesss. But a failure of the bisimulation
equals does a local union find store rollback, without
keeping any partial union find results that were

from successful sub-equals calls:

term_vars(T, L) :-
    term_vars([], T, []-[], L-_).

% term_vars(+List, +Term, +Pair, -Pair)
term_vars(_, V, L-P, L-P) :- var(V),
    member(W, L), W == V, !.
term_vars(_, V, L-P, [V|L]-P) :- var(V), !.
term_vars(M, T, L-P, L-Q) :- compound(T),
    member(S, M), equals(T, S, P, Q), !.
term_vars(M, T, L, R) :- compound(T), !,
    T =..[_|A],
    foldl(term_vars([T|M]), A, L, R).
term_vars(_, _, L, L).

The bisimulation equals itself is:

equals(X, Y) :-
    equals(X, Y, [], _).

% equals(+Term, +Term, +List, -List)
equals(X, Y, L, R) :- compound(X), compound(Y), !,
    union_find(X, L, Z),
    union_find(Y, L, T),
    equals2(Z, T, L, R).
equals(X, Y, L, L) :- X == Y.

equals2(X, Y, L, L) :-
    same_term(X, Y), !.
equals2(X, Y, _, _) :-
    functor(X, F, N),
    functor(Y, G, M),
    F/N \== G/M, !, fail.
equals2(X, Y, L, R) :-
    X =.. [_|A],
    Y =.. [_|B],
    foldl(equals, A, B, [X-Y|L], R).

And the union find trivially:

union_find(X, L, T) :-
    member(Y-Z, L),
    same_term(X, Y), !,
    union_find(Z, L, T).
union_find(X, _, X).

Mild Shock schrieb:
> Take this test case:
> 
> test1(X) :- X = f(g(X,_B),_A).
> 
> test2(X) :- Y = g(f(Y,A),_B), X = f(Y,A).
> 
> Now try this (numbervars/3):
> 
> /* SWI-Prolog 9.3.26 */
> ?- test1(X), numbervars(X,0,_).
> X = f(g(X, A), B).
> 
> ?- test2(X), numbervars(X,0,_).
> X = f(_S1, A), % where
>      _S1 = g(f(_S1, A), B).
> 
> And try this (nonground/2):
> 
> ?- test1(X), nonground(X, V).
> X = f(g(X, V), _).
> 
> ?- test2(X), nonground(X, V).
> X = f(_S1, V), % where
>      _S1 = g(f(_S1, V), _).
> 
> And try this (term_variables/2):
> 
> ?- test1(X), term_variables(X, [V,W]).
> X = f(g(X, V), W).
> 
> ?- test2(X), term_variables(X, [V,W]).
> X = f(_S1, V), % where
>      _S1 = g(f(_S1, V), W).
> 
> All 3 predicates suffer from an similar anomaly,
> namely, in the first query V appears 2nd
> argument of g/2, and in the second query V
> 
> appears 2nd argument of f/2. Can this be fixed?
> 
> Mild Shock schrieb:
>> Concerning the input (xxx yyy zzz) the OP wrote:
>>
>> I would expect it to print zzz(xxx(yyy)).
>>
>> Where did he get this requirement from, he didn’t
>> compare other Prolog systems, right? So it came from
>> his applicationdomain. But what was his application
>>
>> domain? Ok, lets proceed to an example with multiple
>> brakets. Lets make the Pascal “begin” “end” example,
>> by replacing xxx and zzz by “begin” and “end”.
>>
>> I get this result:
>>
>> ?- member(X,[begin,end]), current_op(Y,Z,X).
>> X = (begin), Y = 1100, Z = fy ;
>> X = (end), Y = 1100, Z = yf.
>>
>> ?- X = (begin
>> |          x = 1;
>> |          y = 2;
>> |          begin
>> |               z = 3
>> |          end
>> |       end).
>> X = (begin x=1;y=2;begin z=3 end end).
>>
>> But is the abstract parse term, the Prolog result useful?
>>
>

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                Re: 50 Years of Prolog Nonsense Mostowski Collapse <bursejan@gmail.com> - 2023-02-20 06:23 -0800
                Re: 50 Years of Prolog Nonsense Mostowski Collapse <bursejan@gmail.com> - 2023-02-20 06:31 -0800
                How working with GitHub feels (Was: 50 Years of Prolog Nonsense) Mild Shock <janburse@fastmail.fm> - 2024-03-13 14:45 +0100
                Re: How working with GitHub feels (Was: 50 Years of Prolog Nonsense) Mild Shock <janburse@fastmail.fm> - 2024-03-13 15:05 +0100
  Re: 50 Years of Prolog Nonsense Mostowski Collapse <bursejan@gmail.com> - 2023-03-12 09:12 -0700
    Re: 50 Years of Prolog Nonsense Mostowski Collapse <bursejan@gmail.com> - 2023-03-12 09:14 -0700
      Re: 50 Years of Prolog Nonsense Mostowski Collapse <bursejan@gmail.com> - 2023-03-14 17:57 -0700
        Re: 50 Years of Prolog Nonsense Mostowski Collapse <janburse@fastmail.fm> - 2023-03-15 02:01 +0100
          Re: 50 Years of Prolog Nonsense Mostowski Collapse <janburse@fastmail.fm> - 2023-03-15 02:09 +0100
            Re: 50 Years of Prolog Nonsense Mostowski Collapse <bursejan@gmail.com> - 2023-03-28 06:07 -0700
              Re: 50 Years of Prolog Nonsense Mostowski Collapse <bursejan@gmail.com> - 2023-03-28 06:30 -0700
                Re: 50 Years of Prolog Nonsense Mostowski Collapse <bursejan@gmail.com> - 2023-03-28 10:04 -0700
                Re: 50 Years of Prolog Nonsense Mostowski Collapse <bursejan@gmail.com> - 2023-03-28 10:05 -0700
                Re: 50 Years of Prolog Nonsense Mostowski Collapse <bursejan@gmail.com> - 2023-04-02 15:10 -0700
  Re: 50 Years of Prolog Nonsense Mostowski Collapse <bursejan@gmail.com> - 2023-05-25 08:48 -0700
    Re: 50 Years of Prolog Nonsense Mostowski Collapse <bursejan@gmail.com> - 2023-05-25 08:53 -0700
      Re: 50 Years of Prolog Nonsense Mostowski Collapse <bursejan@gmail.com> - 2023-05-25 09:02 -0700
  Re: 50 Years of Prolog Nonsense Mild Shock <bursejan@gmail.com> - 2023-07-29 04:57 -0700
    Re: 50 Years of Prolog Nonsense Mild Shock <bursejan@gmail.com> - 2023-07-29 05:10 -0700
      Re: 50 Years of Prolog Nonsense Mild Shock <janburse@fastmail.fm> - 2023-07-29 23:16 +0200
        Re: 50 Years of Prolog Nonsense Mild Shock <bursejan@gmail.com> - 2023-07-30 05:06 -0700
          Re: 50 Years of Prolog Nonsense Mild Shock <bursejan@gmail.com> - 2023-08-01 01:09 -0700
    How I got rid of term_variables/3 (Was: 50 Years of Prolog Nonsense) Mild Shock <janburse@fastmail.fm> - 2024-11-10 12:37 +0100
      Re: How I got rid of term_variables/3 (Was: 50 Years of Prolog Nonsense) Mild Shock <janburse@fastmail.fm> - 2024-11-10 12:40 +0100
        Re: How I got rid of term_variables/3 (Was: 50 Years of Prolog Nonsense) Mild Shock <janburse@fastmail.fm> - 2024-11-10 12:42 +0100
    How Prolog became an education nightmare (Was: 50 Years of Prolog Nonsense) Mild Shock <janburse@fastmail.fm> - 2024-11-12 16:30 +0100
      Re: How Prolog became an education nightmare (Was: 50 Years of Prolog Nonsense) Mild Shock <janburse@fastmail.fm> - 2024-11-12 16:32 +0100
        Re: How Prolog became an education nightmare (Was: 50 Years of Prolog Nonsense) Mild Shock <janburse@fastmail.fm> - 2024-11-14 05:14 +0100
          Re: How Prolog became an education nightmare (Was: 50 Years of Prolog Nonsense) Mild Shock <janburse@fastmail.fm> - 2024-11-14 05:24 +0100
          Re: How Prolog became an education nightmare (Was: 50 Years of Prolog Nonsense) Julio Di Egidio <julio@diegidio.name> - 2024-11-14 21:21 +0100
            Re: How Prolog became an education nightmare (Was: 50 Years of Prolog Nonsense) Mild Shock <janburse@fastmail.fm> - 2024-11-14 21:58 +0100
              Re: How Prolog became an education nightmare (Was: 50 Years of Prolog Nonsense) Mild Shock <janburse@fastmail.fm> - 2024-11-14 22:10 +0100
              Re: How Prolog became an education nightmare (Was: 50 Years of Prolog Nonsense) Julio Di Egidio <julio@diegidio.name> - 2024-11-15 15:42 +0100
      Mode yfy to the rescue (Was: How Prolog became an education nightmare) Mild Shock <janburse@fastmail.fm> - 2024-11-14 22:30 +0100
      Cyclic term predicates suffer from ambiguity (Was: How Prolog became an education nightmare) Mild Shock <janburse@fastmail.fm> - 2025-08-01 02:47 +0200
        An ISO term_variables/2 for Cyclic Terms (Was: Cyclic term predicates suffer from ambiguity) Mild Shock <janburse@fastmail.fm> - 2025-08-01 03:01 +0200

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