In propositional semantics, a valuation function assigns a truth value to every well-formed formula, coincides with the model's interpretation on atomic propositions, and determines the truth of complex formulas recursively based on their top logical connective and the truth values of their subformulae.
In propositional semantics, a valuation function assigns a truth value to every well-formed formula, coincides with the model's interpretation on atomic propositions, and determines the truth of complex formulas recursively based on their top logical connective and the truth values of their subformulae.
命題論理の意味論において、真理値割当関数はすべての構成式に真理値を割り当て、原子命題に関してはモデルの解釈関数と一致し、その他の場合はその式の最上位の論理結合子と部分式の真理値に基づいて再帰的に真理値を決定します。