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Interpretations

  • In propositional logic, truth values are assigned to the atoms of a formula in order to evaluate the truth value of the formula

  • An assignment is a function

    v : P → {T,F}

    v assigns a truth value to any atom in a given formula ( P is the set of all propositional letters, i.e. atoms)
    Suppose F denotes the set of all propositional formulas. We can extend an assignment v to a function

    v : F → {T,F}

    which assigns the truth value v(A) to any formula A in F. v is called an interpretation.


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