The AGM postulates by Alchourr\'{o}n, G\"{a}rdenfors, and Makinson continue to represent a cornerstone in research related to belief change. We generalize the approach of Katsuno and Mendelzon (KM) for characterizing AGM base revision from propositional logic to the setting of (multiple) base revision in arbitrary monotonic logics. Our core result is a representation theorem using the assignment of total - yet not transitive - "preference" relations to belief bases. We also provide a characterization of all logics for which our result can be strengthened to preorder assignments (as in KM's original work).
翻译：Alchourr\'{o}n, G\}{a}rdenfors 和 Makinson 的 AGM 假设仍然是与信仰变化有关的研究的基石。 我们推广了 Katsuno 和 Mendelzon (KM) 的方法, 将 AGM 基础修改从假设逻辑定性为任意的单调逻辑的(多重)基础修改。 我们的核心结果是代表理论, 将全部―― 而非过渡性―― “ 偏好” 关系分配到信仰基础。 我们还提供了所有逻辑的特征, 我们的结果可以被强化为预先分配( 如 KM 的原始工作 ) 。
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