arXiv:2606.23055cs.AIcs.LO2026-06

研究不确定偏好下论证框架的表达能力,发现多数结果为负面。

Some Results about the Expressivity of Preference-Incomplete Structured Argumentation Frameworks

论文配图:Some Results about the Expressivity of Preference-Incomplete Structured Argumentation Frameworks
图 1 · 摘自论文原文
  • 通过对比抽象形式化模型分析不确定偏好的表达力
  • 多数结果为负面,部分出人意料
  • 提出表达力阈值猜想并推进证明

本文研究了带有不确定偏好结构的ASPIC+论证框架的表达能力,通过与几种具有不确定驳斥关系的抽象形式化模型进行比较。大部分结果为负面(其中一些在理论上令人意外)。我们还提出了一个关于不确定偏好表达力的正向、非平凡阈值猜想,并证明了确认该猜想所需的一些关键初步步骤。

原文摘要 · Abstract (English)

This paper studies the expressive power of ASPIC$^+$ argumentation frameworks with uncertain preference profiles by comparing them with several abstract formalisms with uncertain defeats. Most of our results are negative (and some of them are theoretically unexpected). We also conjecture a positive, non-trivial threshold for the expressivity of uncertain preferences, and prove some essential preliminary steps toward the confirmation of this conjecture.

论证框架不确定性表达力

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