arXiv:2506.03997cs.AIcs.LO2025-06被引 5

为ASP添加条件推理能力,支持基于典型性的逻辑推断。

A framework for Conditional Reasoning in Answer Set Programming

  • 结合条件逻辑与ASP程序,用多优先级语义实现条件推理
  • 将条件蕴含关系编码为ASP,提供计算复杂度上界
  • 适合研究非单调逻辑与智能推理的学者

本文提出一种条件答案集编程框架(Conditional ASP),用于定义答案集编程(ASP)的条件扩展。该方法基于带有典型性的条件逻辑,将条件知识库与ASP程序结合,实现对程序答案集的条件推理。形式化基于多优先级语义,以KLM优先语义为特例。条件蕴含关系被编码为ASP形式,同时给出了计算复杂度的上界。

原文摘要 · Abstract (English)

In this paper we introduce a Conditional Answer Set Programming framework (Conditional ASP) for the definition of conditional extensions of Answer Set Programming (ASP). The approach builds on a conditional logic with typicality, and on the combination of a conditional knowledge base with an ASP program, and allows for conditional reasoning over the answer sets of the program. The formalism relies on a multi-preferential semantics, and on the KLM preferential semantics, as a special case. Conditional entailment is encoded in ASP and a complexity upper-bound is provided.

逻辑推理ASP条件推理

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