How to link constant with variable by assert? - prolog

I want to add in the DB a constant and a linked variable:
?- assertz(my(x, A))
So that in the future I can define A and get the only one entry. Sth like that:
?- assertz(my(x, A)), ..., A = 2.
?- my(A, B).
A = x,
B = 2.
Can this be done?

As I noted in the comments your idea of a link like a pointer is not the way to approach solving your problem.
A common solution is to walk the tree and construct a new tree as you walk the tree by replacing the leaf of the tree with a new leaf that contains the value from the input tree along with the associated value, what you are thinking should be linked.
Since you are somewhat new to Prolog I will do this with two examples. The first will just walk a tree and only return true when successfully walked. It can be used to understand how to walk a tree and run with gtrace to single step the code to understand it.
The second example will expand on the tree walk and add the type (link as you think) to the leaf item. The the old leaf for something simple like an atom a, will become a new leaf in the tree like (a,atom).
Also this was quickly written as a demonstration only. I am sure it will have problems if pressed into doing anything more than the single example.
:- module(example,
[
example/1
]).
example(walk) :-
Term = term_size(a(1,"Hello",'Atom',1+2,[a,$,T])),
walk(Term).
example(infer_type) :-
Term = term_size(a(1,"Hello",'Atom',1+2,[a,$,T])),
infer_type(Term,Is),
write(Is).
walk([]) :- !.
walk([T]) :- var(T), !.
walk(L) :- is_list(L), !, L = [H|T], walk(H), walk(T).
walk(T) :- compound(T), !, T =.. [_|Args], !, walk(Args).
walk(T) :- integer(T), !.
walk(T) :- var(T), !.
walk(T) :- atomic(T), !.
walk(T) :- T =.. [Arg|Args], !, walk(Arg), walk(Args).
infer_type([],[]) :- !.
infer_type([T],[(T,var)]) :- var(T), !.
infer_type(L,S) :- is_list(L), !, L = [H|T], infer_type(H,I), infer_type(T,Is), S = [I|Is].
infer_type(T,S) :- compound(T), !, T =.. [F|Args], !, infer_type(Args,Is), S =.. [F|Is].
infer_type(T,(T,integer)) :- integer(T), !.
infer_type(T,(T,var)) :- var(T), !.
infer_type(T,(T,atom)) :- atomic(T), !.
infer_type(T,S) :- T =.. [Arg|Args], !, infer_type(Arg,I), infer_type(Args,Is), S =.. [I|Is].
Example run
Note: I know there are warnings; it is a demo not production code.
Welcome to SWI-Prolog (threaded, 64 bits, version 8.5.3)
?- working_directory(_,'C:/Users/Groot').
true.
?- [example].
Warning: c:/users/Groot/example.pl:20:
Warning: Singleton variables: [T]
Warning: c:/users/Groot/example.pl:24:
Warning: Singleton variables: [T]
true.
?- example(walk).
true.
?- example(infer_type).
term_size(a((1,integer),(Hello,atom),(Atom,atom),(1,integer)+(2,integer),[(a,atom),(($),atom),(_25642,var)]))
true.
As an exercise I did not identify the string as a string, the change should be easy.

Related

Prolog meta-interpreters and single sided unification

I tried this vanilla interpreter:
solve(true) :- !, true.
solve(X is E) :- !, X is E.
solve((A,B)) :- !, solve(A), solve(B).
solve(H) :- clause(H,B), solve(B).
Can we use it to meta-interpret some code? I tried this code,
requires SWI-Prolog 8.3.19, which runs fine normally:
sumlist([X|Y], R) => sumlist(Y, H), R is X+H.
sumlist([], R) => R is 0.
?- sumlist([1,2,3],X).
X = 6.
?- sumlist(X,Y).
ERROR: No rule matches sumlist(_21604,_21606)
But meta-interpretation goes wrong. The reason is that clause/2
doesn’t know about rules that use single sided unification:
?- clause(sumlist(A,B),C).
A = [_22728|_22730],
C = (sumlist(_22730, _22736), B is _22728+_22736) ;
A = [],
C = (B is 0).
?- solve(sumlist([1,2,3],X)).
X = 6.
?- solve(sumlist(X,Y)).
SWI-Prolog wurde unerwartet beendet.
Is there a solution for meta-interpreters and single sided unification?
One way out of the dilemma and stay inside the ISO core standard, is to translate single sided unfication to a combination of nonvar/1, (=)/2 and (==)/2, like here:
?- clause(sumlist(X,Y),Z), write((sumlist(X,Y):-Z)), nl, fail; true.
sumlist(_A, _B) :- nonvar(_A), _A = [_C|_D], sumlist(_D, _E), _B is _C+_E
sumlist(_A, _B) :- nonvar(_A), _A = [], _B is 0
Of course we need to add the built-ins nonvar/1, (=)/2 and (==)/2 as well to the meta interpreter:
solve(true) :- !.
solve(X is E) :- !, X is E.
solve(nonvar(X)) :- !, nonvar(X).
solve(X == Y) :- !, X == Y.
solve(X = Y) :- !, X = Y.
solve((A, B)) :- !, solve(A), solve(B).
solve(H) :- clause(H, B), solve(B).
Meta-interpreting sumlist/2 now works fine:
?- solve(sumlist([1,2,3],X)).
X = 6
?- solve(sumlist(X,Y)).
No
But the translator might challenge a Prolog system concering clause indexing. It moves away the functors from the head into the body. So the Prolog system would need some body front indexing as pioneered by YAP and found in Jekejeke Prolog.
Open Source:
Yet Another Pattern Matcher
https://gist.github.com/jburse/a3517410a28b759ef44f72584f89aaf8#file-picat3-pl
Vanilla Interpreter, Expansion Solution
https://gist.github.com/jburse/a3517410a28b759ef44f72584f89aaf8#file-vanilla4-pl

Prolog remove parenthesis when transforming list in polynomial

Basically when I try to transform a list into a polynomial or vice-versa, it always shows up with parenthesis (in case of the polynomials). Here is the code, the function not working is the poly2list, the other one are just to define what a monomial/polinomial is.
pvars([x,y,z]).
pvar(X):-pvars(V),member(X,V).
polinomial(X) :- monomial(X).
polinomial(P+M) :- monomial(M), polinomial(P).
monomial(X) :- pvar(X).
monomial(N) :- number(N).
monomial(X) :- power(X),!.
monomial(K*X) :- coefficient(K), power(X),!.
coefficient(N) :- number(N).
power(X) :- pvar(X),!.
power(X^Y) :- pvar(X), integer(Y), Y>1,!.
poly2list(X,[X]) :- monomial(X),!.
poly2list(X+P,[X|Y]) :- monomial(X), poly2list(P,Y).
For example, when i ask:
poly2list(X,[2*x^2,3,y]).
The result is:
X = 2*x^2+(3+y)
And I'm trying to get:
X = 2*x^2+3+y
Thanks in advance :)

Write a Prolog predicate next(X,List,List1)

Prolog predicate next(X, List,List1), that returns in List1 the next element(s) from List that follows X, e.g., next(a,[a,b,c,a,d],List1), will return List1=[b,d].
I have tried following:
next(X, [X,Y|List], [Y|List1]) :- % X is the head of the list
next(X, [Y|List], List1).
next(X, [Y|List], List1) :- % X is not the head of the list
X \== Y,
next(X, List, List1).
next(_,[], []).
First, whenever possible, use prolog-dif for expressing term inequality!
Second, the question you asked is vague about corner cases: In particular, it is not clear how next(E,Xs,Ys) should behave if there are multiple neighboring Es in Xs or if Xs ends with E.
That being said, here's my shot at your problem:
next(E,Xs,Ys) :-
list_item_nexts(Xs,E,Ys).
list_item_nexts([],_,[]).
list_item_nexts([E],E,[]).
list_item_nexts([I|Xs],E,Ys) :-
dif(E,I),
list_item_nexts(Xs,E,Ys).
list_item_nexts([E,X|Xs],E,[X|Ys]) :-
list_item_nexts(Xs,E,Ys).
Let's see some queries!
?- next(a,[a,b,c,a,d],List1).
List1 = [b,d] ;
false.
?- next(a,[a,a,b,c,a,d],List1).
List1 = [a,d] ;
false.
?- next(a,[a,a,b,c,a,d,a],List1).
List1 = [a,d] ;
false.
Note that above queries succeed, but leave behind useless choicepoints.
This inefficiency can be dealt with, but I suggest figuring out more complete specs first:)
This version is deterministic for the cases given by #repeat using if_/3 and (=)/3. It shows how purity and efficiency can coexist in one and the same Prolog program.
next(E, Xs, Ys) :-
xs_e_(Xs, E, Ys).
xs_e_([], _E, []).
xs_e_([X|Xs], E, Ys) :-
if_(X = E, xs_e_xys(Xs, E, Ys), xs_e_(Xs, E, Ys)).
xs_e_xys([], _E, []).
xs_e_xys([X|Xs], E, [X|Ys]) :-
xs_e_(Xs, E, Ys).
%xs_e_xys([X|Xs], E, [X|Ys]) :- % alternate interpretation
% xs_e_([X|Xs], E, Ys).

Replace atom with variable

I have a term which may or may not contain the atom 'this'. The term may also contain variables.
I need to replace 'this' with a variable I. How can I do this?
I tried to do something like this:
term_to_atom((f(a), g(this, b), ...), A),
tokenize_atom(A, L),
replace(this, I, L, L2)
It seemed to work. The problem is, I need to go back to the original term and I can't do it...
SWI-Prolog has atomic_list_concat/2 and atom_to_term/2 which should help you go back to the original term.
main :-
term_to_atom((f(a), g(this, b)), A),
tokenize_atom(A, L),
replace(this, 'I', L, L2),
atomic_list_concat(L2, A2),
atom_to_term(A2, T, []),
writeln(T).
?- main.
f(a),g(_G69,b)
true .
Take a look at this predicate (replace/4):
replace(Term,Term,With,With) :-
!.
replace(Term,Find,Replacement,Result) :-
Term =.. [Functor|Args],
replace_args(Args,Find,Replacement,ReplacedArgs),
Result =.. [Functor|ReplacedArgs].
replace_args([],_,_,[]).
replace_args([Arg|Rest],Find,Replacement,[ReplacedArg|ReplacedRest]) :-
replace(Arg,Find,Replacement,ReplacedArg),
replace_args(Rest,Find,Replacement,ReplacedRest).
An example of what you need:
| ?- replace(f(1,23,h(5,this)),this,Var,Result).
Result = f(1,23,h(5,Var))
yes

Prolog: converting atom to new atom

I have a problem with predicate which works in that way that it takes list of atoms:
nopolfont([to,jest,tekśćik,'!'],L).
and in result
L = [to,jest,tekscik,'!'].
I have problem with make_swap and swap predicates. So far I have:
k(ś,s).
k(ą,a).
% etc.
swap(X,W) :- name(X,P), k(P,Y), !, name(Y,W).
swap(X,X).
make_swap(A,W)
:- atom(A),!,
name(A,L),
swap(L,NL),
name(W,NL).
nopolfont([],[]).
nopolfont([H|T],[NH|S]) :- make_swap(H,NH), nopolfont(T,S).
Is there any elegant way to do this?
This is also quite elegant:
polish_char_replacer(X, Y) :-
k(X, Y),
!.
polish_char_replacer(X, X).
nopolfont(Atoms1, Atoms2) :-
maplist(replace(polish_char_replacer), Atoms1, Atoms2).
replace(Goal, Atom1, Atom2) :-
atom_chars(Atom1, Chars1),
maplist(Goal, Chars1, Chars2),
atom_chars(Atom2, Chars2).
Probably as elegant as it can get:
k(ś,s).
k(ą,a).
swap(X,W) :- name(P,[X]), k(P,Y), !, name(Y,[W]).
swap(X,X).
list_swap([], []).
list_swap([H|T], [W|S]) :-
swap(H, W),
list_swap(T, S).
atom_swap(A,W) :-
atom(A), !,
name(A, L),
list_swap(L,S),
name(W, S).
nopolfont([],[]).
nopolfont([H|T],[NH|S]) :-
atom_swap(H,NH),
nopolfont(T,S).
Also, obviously define this, to get the expected result, but I assume this is in the % etc
k(ć, c).

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