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 grandfather $(X, Y),$ which represents that $X$ is the grandfather of $Y .[\text { Hint: You can write a disjunction in Prolog }$ either by using a semicolon to separate predicates or by putting these predicates on separate lines. $]$

Key Concepts

Prolog Facts and Rules

Prolog is a declarative programming language that uses facts and rules to represent knowledge. Facts state unconditional truths about relationships, while rules define more complex relationships by specifying conditions under which a relationship holds. A rule typically has a head and a body, separated by ':-', meaning the head is true if all predicates in the body are true.

Predicate Definitions

Predicates in Prolog represent relations between entities. They are defined by a name and a list of arguments. For example, predicates can express familial relationships. The semantics of these predicates are declared using facts, and more complex relationships are defined through rules that combine these facts.

Disjunction in Prolog

Disjunction in Prolog allows expressing alternatives in rule conditions. The semicolon (';') serves as a logical OR operator, meaning that if any of the separated conditions is met, the rule succeeds. This is a key feature when a relationship can be satisfied through multiple alternative paths.

Modeling Family Relationships

When representing family relationships in logic programming, one often builds more complex relations by combining simpler ones. For instance, a 'grandfather' relationship can be modeled by linking a 'father' predicate with either a 'father' or 'mother' predicate, thereby expressing the concept of paternal lineage via alternative cases.

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