Prolog Family Tree query issues - prolog

% facts
mother(john, dana).
father(john, david).
mother(chelsea, dana).
father(chelsea, david).
mother(jared, dana).
father(jared, david).
% queries
father(X,Y) :- father(X,Y), write(Y).
mother(X,Y) :- mother(X,Y), write(Y).
parent(X,Y) :- father(X,Y);mother(X,Y).
sibling(X,Y) :- parent(X,Z), parent(Y,Z), write(Y).
I am having trouble getting these queries to work. when I type in the father command, it will tell me yes or no correctly, but won't do the write command (same with mother). "parent" doesn't work at all for me (therefor sibling doesn't either). Also, if I type in sibling(X,Y). I need to get all siblings...for example, sibling(john, chelsea). I need to output all the possible siblings (jared as well). Let me know where I am going wrong, I really don't see an issue with my logic here. Thanks!

Basically you can remove your mother and father predicates that are not facts. They are infinite loops. Since parent use them and sibling use parent, all your predicates are infinite loops.
To see what happens, you can do that :
?- trace, father(john, X).
and observe how prolog handles the query. You'll soon observe than to resolve father, he needs to solve father, and that to solve father, he needs to solve father, and that it never stops...
When the two problematic are removed, I obtain a correct behaviour :
?- father(john, X).
X = david.
?- parent(john, X).
X = david ;
X = dana.
?- sibling(john, X).
john
X = john ;
chelsea
X = chelsea ;
jared
X = jared ;
john
X = john ;
chelsea
X = chelsea ;
jared
X = jared.
Now, to make your sibling predicate better, you could say that someone is not its own sibling and that if you have one common parent it's enough (it will remove the duplicates) :
sibling(X,Y) :- father(Y,Z), father(X, Z), X =\= Y.

Related

PROLOG family tree: how can I output all the siblings and cousins?

Hi I am working on a PROLOG family tree question, and this is what I have so far:
/*1. Write Prolog clauses to express the following three relationships,
* given the parent/2 relationship: grandparent/2, sibling/2, cousin/2.*/
% clauses
parent(jill, amy).
parent(jill, tim).
parent(jill, john).
parent(amy, grace).
parent(amy, anna).
parent(tim, sam).
parent(tim, joel).
parent(tim, ben).
% rules
grandparent(X,Y) :-
parent(Z,Y),
parent(X,Z).
sibling(X, Y) :-
parent(Z, X),
parent(Z, Y).
cousin(X,Y) :-
parent(P, X),
parent(S, Y),
sibling(P, S).
When I put:
?- sibling(X, tim).
the output gives:
X = amy
but both john and amy are tim's sibling. The same problem happens with:
?- cousin(ben, X).
which gives:
X = grace
when both grace and anna are ben's cousins.
What changes do I need to make in order for the code to output all of tim's siblings and ben's cousins?
Thanks. :)
First of all, you've got a little bug over there.
You should correct the sibling rule - just a small hint here, try to use the rule as so
sibling(grace,grace)
and back to your issue, after you're getting first response click the ; or any of these ; n r space TAB keys, as the result you see is the first correct response. If you want to see the next correct result you need to use one of the keys above.
You can also try to use findall predicate to see all the results in the list
?- findall(X, cousin(grace, X),Z).
Z = [sam, joel, ben].

How to find Nephew in Prolog Family Code?

I'm trying to get Prolog to output people in the family trees nephew, as in nephew(X,Y) will list
X = the nephew
Y = Aunt/ Uncle
I've tried writing some of the code already, I'm pretty confident the son command works, and I believe sibling works, however combining these is proving, difficult.
parent(pam,bob).
parent(john,bob).
parent(john,liz).
parent(bob,ann).
parent(bob,pat).
parent(pat,jim).
parent(liz,joe).
parent(liz,tim).
parent(joe,kim).
female(pam).
female(liz).
female(ann).
female(pat).
female(zoe).
female(kim).
male(bob).
male(john).
male(jim).
male(joe).
male(tim).
sibling(X, Y) :- parent(Z, X), parent(Z, Y), X \= Y.
son(X,Y) :- parent(Y, X), male(X).
nephew(X, Y) :- sibling(Y, Z), son(Z, X).
You were so close.
If you ran your query
nephew(X,Y) you would get
?- nephew(X,Y).
X = pam,
Y = liz ;
X = john,
Y = liz ;
X = liz,
Y = joe ;
X = liz,
Y = tim ;
false.
which as you note is wrong.
However if you rename your variables so that they are easier to comprehend
sibling(Child_a, Child_b) :-
parent(Parent, Child_a),
parent(Parent, Child_b),
Child_a \= Child_b.
son(Child,Parent) :-
parent(Parent, Child),
male(Child).
nephew(Parent, Child_a) :-
sibling(Child_a, Child_b),
son(Child_b, Parent).
you will see that sibling/2 and son/2 are correct and should see your problem with nephew/2.
When renaming variables, start at the facts and work back, do not start at the head of a clause and work down.
Another way that helps to figure out problems with multi-statement predicates is to run parts of them as separate queries, e.g.
?- sibling(Parent,Aunt_uncle),son(Nephew,Parent).
Parent = liz,
Aunt_uncle = bob,
Nephew = joe ;
Parent = liz,
Aunt_uncle = bob,
Nephew = tim ;
Parent = pat,
Aunt_uncle = ann,
Nephew = jim ;
false.
While this query gives more information than is needed, the correct values are in the results. Putting this in a predicate and returning only the desired values is all that is left to get this query working as desired.
A correct answer for nephew/2 is
nephew(Nephew,Aunt_uncle) :-
sibling(Parent,Aunt_uncle),
son(Nephew,Parent).
Example run:
?- nephew(Nephew,Aunt_uncle).
Nephew = jim,
Aunt_uncle = ann ;
Nephew = joe,
Aunt_uncle = bob ;
Nephew = tim,
Aunt_uncle = bob ;
false.
When writing code it is advisable to also create test cases.
If you are using SWI-Prolog then you can use the following test cases.
:- begin_tests(family).
% example of single test case
test(001) :-
sibling(bob,liz).
test(002) :-
son(tim,liz).
test(003,[nondet]) :-
nephew(tim,bob).
% example of test cases that test multiple variations for one predicate
sibling_test_case(bob,liz).
sibling_test_case(liz,bob).
sibling_test_case(ann,pat).
sibling_test_case(pat,ann).
sibling_test_case(joe,tim).
sibling_test_case(tim,joe).
test(004, [forall(sibling_test_case(Child_a,Child_b))]) :-
sibling(Child_a,Child_b).
son_test_case(bob,pam).
son_test_case(bob,john).
son_test_case(jim,pat).
son_test_case(joe,liz).
son_test_case(tim,liz).
test(005, [forall(son_test_case(Child,Parent)),nondet]) :-
son(Child,Parent).
nephew_test_case(joe,bob).
nephew_test_case(tim,bob).
nephew_test_case(jim,ann).
test(006, [forall(nephew_test_case(Nephew,Aunt_uncle)),nondet]) :-
nephew(Nephew,Aunt_uncle).
:- end_tests(family).
These are run with run_tests.
?- run_tests.
% PL-Unit: family ................. done
% All 17 tests passed
true.
See: Prolog Unit Tests

Sibling relation that just doesn't seem to cover all cases

I've been tasked with creating a sister relation in prolog, among other basic relations. The issue is that my assertions dont cover all angles for reasons that I just dont get. Currently I have
female(X)).
male(X).
parent(X,Y).
sibling(X,Y) :- female(X), parent(Z,X), parent(Z,Y).
female(mom).
female(mary).
male(tim).
parent(mom,tim).
parent(mom,mary).
With that, my code works fine when testing it with something like sister(mary,tim) (equals true) or sister(father,tim) (equals false) but i'm currently having issues with it defining sister(mom,tim) as true. While that may very well be a true statement somewhere on this world of ours, it's not something I feel is correct given the assignment im working on.
Do not start your programs with things like this:
female(X)).
male(X).
parent(X,Y).
You may think that these are "declarations" of the relations you will be using, but they are not. They are definitions of rules saying "anyone is female", "anyone is male", and "any object whatsoever is a parent of any object whatsoever". Delete these.
Then, let's decompose your problem a bit. A sister is a female sibling. The sibling relation is useful in itself, so let's define that first without worrying about sisters in particular:
siblings(X, Y) :-
parent_of(Parent, X),
parent_of(Parent, Y).
parent_of(mom, tim).
parent_of(mom, mary).
Observe how I renamed your parent relation to parent_of. This is not a symmetric relation, and for a term like parent(X, Y) we might not know which argument is the parent and which one is the child. Naming it parent_of is more suggestive: parent_of(X, Y) means (reading left to right): X is the parent of Y.
We can now test this:
?- siblings(X, Y).
X = Y, Y = tim ;
X = tim,
Y = mary ;
X = mary,
Y = tim ;
X = Y, Y = mary.
Note that this is not correct yet! It says that Tim is his own sibling, and that Mary is her own sibling. You need to fix that. I'll keep using it for the moment.
Now, as we said, a sister is a female sibling. That's easy to express now:
sister_of(Sister, Sibling) :-
female(Sister),
siblings(Sister, Sibling).
female(mom).
female(mary).
male(tim).
Sister is the sister of some Sibling if Sister is female and they are siblings. That is all. Note that these variable names are more informative than X and Y!
Let's test:
?- sister_of(Sister, Sibling).
Sister = mary,
Sibling = tim ;
Sister = Sibling, Sibling = mary.
Only Mary is anybody's sister, which is what we want. She is also her own sister, which we do not want, but that is the same problem noted above in the definition of siblings/2.

SWI-Prolog family tree parent_of/2

male(jerry).
male(stuart).
male(warren).
male(peter).
female(kather).
female(maryalice).
female(ann).
brother(jerry,stuart).
brother(jerry,kather).
brother(peter, warren).
sister(ann, maryalice).
sister(kather,jerry).
parent_of(warren,jerry).
parent_of(maryalice,jerry).
I was given the facts above and I need to define a rule using the predicate parent_of. Yes, it is the same predicate as the above facts defined by parent_of.
Assume I have a sibling(X, Y) rule that will return all the correct sibling pairs.
I write my parent_of(X, Y) rule as parent_of(X, Y) :- parent_of(X, A), sibling(A, Y).
However, this implementation will lead me to an infinity loop.
Is there a way to define the rule parent_of(X, Y) such that it will return
(warren, jerry),
(warren, stuart),
(warren, kather),
(maryalice, jerry),
(maryalice, stuart),
(maryalice, kather)
I also tried
parent_of(X, Y) :-
parent_of(X, jerry),
brother(jerry, Y).
I can get the correct answers by this way but it ended up in "Out of local stack" error. Besides that, I don't think the rule is fine as I hard coded it.
I have seen suggestions like change the rule name to something else such as another_parent_of(X, Y). It does solve the problem, but it is a requirement for me to define it using the same predicate.
Any help is greatly appreciated.
EDITED
The intention of this exercise is to write rules such that you can complete this family tree, though only minimal facts are given. As you can see, it only states that Warren is the father of Jerry, and from brother and sister facts, we know Jerry is the brother of Stuart and Kather. So I will have a rule, parent_of(X, Y) to deduce Warren is also the father of Stuart and Kather, though this was not stated in the facts above.
The main concern is how can I write my parent_of(X, Y) rule to avoid it getting into infinite loop.
I do not understand why you need to use parent_of in the definition of sibling. Why you no just write:
sibling(X, Y) :-
parent_of(Parent, X),
parent_of(Parent, Y).
I also don't understand the logic of the facts that you are given. You have male and female, but you also have brother and sister; why not define brother and sister in terms of "brother is a male sibling" and "sister is a female sibling"? I already show above how to define "siblings have same parent".
Anyway, this is really old tired question, it is very amazing how many times "Prolog family tree" has been regurgitated.
the cow the old cow she is dead
it sleeps well the horned head
we poor lads tis our turn now
to hear such tunes as killed the cow
I cannot see a way to directly solve your problem. But if your Prolog offers tabling, here is an easy way:
:- use_module(library(tabling)).
...
:- table parent_of/2.
parent_of(warren,jerry).
parent_of(maryalice,jerry).
parent_of(X, Y) :- parent_of(X, A), sibling(A, Y).
...
?- parent_of(X,Y).
X = warren,
Y = stuart ;
X = warren,
Y = jerry ;
X = warren,
Y = kather ;
X = maryalice,
Y = stuart ;
X = maryalice,
Y = jerry ;
X = maryalice,
Y = kather.

Adding a predicate based on the relationship between people

Add the predicate related(X,Y) such that x is related to y if x and y have any ancestor in common but are not the same person
For my homework i need to add the predicate to the .PL i have to prove if 2 people are related. i have worked it out so it will say if they are related if they are brother and sister but i just cant figure out the code for cousins and so on. any help would be much appreciated.
% File FAMILY.PL% Part of a family tree expressed in Prolog
% In father/2, mother/2, and parent/2,
% first arg. is parent and second arg. is child.
father(michael,cathy).
father(michael,sharon).
father(charles_gordon,michael).
father(charles_gordon,julie).
father(charles,charles_gordon).
father(jim,melody).
father(jim,crystal).
father(elmo,jim).
father(greg,stephanie).
father(greg,danielle).
mother(melody,cathy).
mother(melody,sharon).
mother(hazel,michael).
mother(hazel,julie).
mother(eleanor,melody).
mother(eleanor,crystal).
mother(crystal,stephanie).
mother(crystal,danielle).
parent(X,Y) :- father(X,Y).
parent(X,Y) :- mother(X,Y).
sibling(X,Y) :- mother(M,X), mother(M,Y), \+ X == Y.
ancestor(X,Y) :- parent(X,Z), ancestor(Z,Y).
related(X,Y) :- sibling(X,Y), \+ X == Y.
I was trying to add something like this but no luck.
related(X,Y) :- ancestor(Z,X),ancestor(Z,Y).
so i added
related(X,Y) :- parent(Z,X),parent(P,Y),parent(Q,Z),parent(Q,P), \+ X == Y.
and that is working in all my tests. anything wrong with that? or a better way to write it?
Among other problems, your ancestor rule cannot complete, being a recursive rule and missing the base case. Try
ancestor(X,Y) :- parent(X,Y). % base case
ancestor(X,Y) :- parent(X,Z), ancestor(Z,Y). % recursive case
Note: I'm unsure about the linguistic sense of sibling/2, but should be independent of gender, I think
sibling(X,Y) :- parent(P,X), parent(P,Y), X \= Y.
And related/2 could be
related(X,Y) :- ancestor(A,X), ancestor(A,Y), X \= Y.
Complementary to ancestor = The next generation …
nextgen(X,Y) :- parent(Y,X).
nextgen(X,Y) :- parent(Y,Z), nextgen(Z,X).
In order to propose something more refined than ancestor/2 which is talked about tons of times, you can also add depth with something like ancestor/3 :
ancestor(X,Y,0) :-
% Base : X ancestor of Y and N=0 if
parent(X,Y). % X parent of Y
ancestor(X,Y,N) :-
% Recursive : X ancestor of Y if
N>0,
parent(X,Z), % X parent of Z and
M is N-1,
ancestor(Z,Y,M). % Z also ancestor of Y

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