Last Updated：2025/11/24
To determine the descriptive power of different fragments, researchers examine the arithmetical hierarchy, which classifies the complexity of first-order formulas and the sets they define by counting alternations between blocks of unbounded existential and universal quantifiers.
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To determine the descriptive power of different fragments, researchers examine the arithmetical hierarchy, which classifies the complexity of first-order formulas and the sets they define by counting alternations between blocks of unbounded existential and universal quantifiers.
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異なる断片の記述力を判断するために、研究者たちは第一階述語論理の式やそれらが定義する集合の複雑さを、非有界の存在量化子と全称量化子のブロックの交替回数によって分類する算術階層を調べる。
