Question

Using the base facts pattern

parent(chronos,zeus). % chronos is a parent of zeus

write rules for each of six family relations. Each of these faimily relations is a binary relation. It may be useful for each relation, to pursue the process that starts with a natural- language description, possibly from your own family.

2a nieceOrNephew

2b cousin

2c auntOrUncle

2d ancestor

2e descendant

2e relative

The new rules must work correctly independent of the number of individuals who fulfill a relationship and the number and sizes of family generations. For instance,

ancestor (A,B):-parent(A,B).

ancestor (A,B):-grandparent (A,B).

ancestor (A,B):-greatGrandParent (A,B). ancestor (A,B):-greatGreatGrandParent (A,B).

is not a valid solution. Neither would such enumerations be valid for any other family relationships.

Keep the new rules as concise as possible and formulate them such that they work correctly, independent of the number and sizes of family generations.

Test your rules with a choice of base facts from your own family to assure that you are getting the expected results

For all rules that you write, use only basic Prolog statements as introduced in class (i.e., only Horn clauses, with each rule having a single consequent predicate and all antecedent predicates linked by commas representing conjunctions). You may choose how to express not equal. Do not use any other syntax, even if Prolog parses and processes it.

Answer 1

In Prolog, family relationships can be defined using recursive and direct rules, such as for nieceOrNephew, cousin, auntOrUncle, ancestor, descendant, and relative, based on a common patternparent base fact.

Step-by-step explanation:

When defining family relationships in Prolog, we aim to create rules that accurately reflect kinship terms and connections. Based on the base fact patternparent(chronos, zeus), we can expand this foundational knowledge to determine other family relations in Prolog effectively:

• nieceOrNephew(X, Y):- parent(Z, Y), sibling(X, Z).
• cousin(X, Y):- parent(Z, X), parent(W, Y), sibling(Z, W).
• auntOrUncle(X, Y):- sibling(X, Z), parent(Z, Y).
• ancestor(X, Y):- parent(X, Y).
• ancestor(X, Y):- parent(X, Z), ancestor(Z, Y).
• descendant(X, Y):- parent(Y, X).
• descendant(X, Y):- parent(Z, X), descendant(Z, Y).
• relative(X, Y):- ancestor(Z, X), ancestor(Z, Y), X \= Y.

To determine if one person is a niece or nephew of another, you can look to see if their parent is the sibling of the other person. For ancestors and descendants, you define a direct parent relationship and then a recursive rule to capture all ancestors or descendants through intermediate generations. Finally, relatives are any two people who share a common ancestor. Testing these rules with various kinship structures will assure they work for different family sizes and generational depths.