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Predicate (logic)

Definition

In logic, a predicate is a non-logical symbol that represents a property or a relation, though, formally, does not need to represent anything at all. For instance, in the first-order formula , the symbol is a predicate that applies to the individual constant which evaluates to either true or false. Similarly, in the formula , the symbol is a predicate that applies to the individual constants and . Predicates are considered a primitive notion of first-order, and higher-order logic and are therefore not defined in terms of other more basic concepts.

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