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Interpretation

    Domain, relational Structure, Universe

    D          finite set of Objects      d 1, d 2, ... , d n

    R,...      Relations over D       R ⊆ D n

    F,...       Functions over D       F: D n → D

    Basic Interpretation Mapping

    constant            I [c] = d           Object

    function            I [f] = F           Function

    predicate          I [P] = R          Relation

    Valuation V

      variable V(x) = d D

        Next, determine the semantics for complex terms and formulae constructively, based on the basic interpretation mapping and the valuation function above.


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