Suppose that Prolog facts are used to define the predicates...

Suppose that Prolog facts are used to define the predicates mother $(M, Y)$ and father $(F, X),$ which represent that $M$ is the mother of $Y$ and $F$ is the father of $X$ , respectively. Give a Prolog rule to define the predicate $\operatorname{sibling}(X, Y)$ which represents that $X$ and $Y$ are siblings (that is, have the same mother and the same father).

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Key Concepts

Sibling Relationship

The sibling relationship is defined by the requirement that two individuals share the same parents. In Prolog, this is established by checking that both individuals have the same mother and the same father, with the additional implicit condition that they are not the same person. This encapsulates the real-world notion of biological siblings.

Prolog Predicates

Predicates in Prolog define relationships or properties among entities. They are the fundamental units of logic programming that state facts about relationships, such as the relationship between a parent and a child, and are used as the building blocks for more complex queries.

Prolog Rules

Prolog rules are logical implications that define how new facts can be inferred from known facts. A rule specifies a head and a body, where the head is considered true if the conditions in the body (often a combination of predicates) are met. This structure allows for concise definitions of complex relationships.

Logical Conjunction in Prolog

Logical conjunction in Prolog is represented by commas, which denote that all conditions must simultaneously hold true. In defining relationships like siblings, multiple predicates (for instance, verifying the same mother and the same father) are combined with conjunction to ensure all conditions for the relationship are satisfied.

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