用直接推导方式解决动态知识图谱的推理与规划难题
PIE-APT: A Unified Framework for Temporal Planning and Contradiction Hunting via Incremental Direct-Derivation Abduction
- 通过增量直接推导实现逻辑完备性,避免传统组合搜索
- 在四个基准上优于经典规划器,尤其在对抗性矛盾检测中表现突出
- 适合需要开放世界推理和复杂目标搜索的研究者
动态知识图谱(DKGs)中的推理与规划面临重大挑战,尤其在信息不全的开放世界环境中。现有动作形式化常遭遇可判定性问题和连锁效应问题,而通过结构化归因处理不完整知识则需大规模组合搜索。本文提出统一框架PIE-APT,包含两个模块: extbf{PIE-Abducer}(增量直接推导归因)与 extbf{PIE-APT}(用于时间性知识图谱的归因规划),二者均基于高度表达性的描述逻辑原生运行。我们将线性时间轴上的状态转移建模为对闭合描述逻辑理论的非单调更新。将增量推理器视为黑箱,以本体语言原生表示动作,无需外部模态算子,从而保持逻辑可判定性。针对知识不全问题, extbf{PIE-Abducer} 避免传统的最小击中集(MHS)枚举,不进行组合语法搜索,而是将目标命题的否定注入一致分支,通过直接反驳后果提取缺失前提。 extbf{PIE-APT} 采用递归的“生成-测试”架构,交替执行反向链A*搜索与 extbf{PIE-Abducer},至限定因果深度后,再通过前向链时间投影严格验证。我们在四个强调语义能力的OWL基准上评估,涵盖参数化目标与见证搜索、搜索中DL蕴含、开放世界假设注入及对抗性矛盾猎捕。结果表明,在定性上全面超越经典规划器,并在归因丰富阶段定量优于一个忠实于MHS的基线。
原文摘要 · Abstract (English)
Reasoning and planning over Dynamic Knowledge Graphs (DKGs) present significant challenges, especially in open-world environments with incomplete information. Existing action formalisms often face decidability issues and the Ramification Problem, while managing incomplete knowledge via structural abduction requires expansive combinatorial search. This paper introduces a unified framework with two integrated modules---\textbf{PIE-Abducer} (incremental direct-derivation abduction) and \textbf{PIE-APT} (Abductive Planning for Temporal KGs)---operating natively on the highly expressive Description Logic. We model state transitions along a linear timeline as non-monotonic updates to deductively closed DL theories. Treating the incremental reasoner as a black-box and representing actions natively in OWL without external modal operators preserves logical decidability. To address incomplete knowledge, \textbf{PIE-Abducer} circumvents traditional Minimal Hitting Set (MHS) enumeration. Instead of combinatorial syntactic search, it injects the logical negation of a target goal into a consistent branch and extracts missing premises via direct refutation consequences. \textbf{PIE-APT} then employs a recursive \textit{Generate-and-Test} architecture, interleaving backward-chaining A* search with \textbf{PIE-Abducer} up to a bounded causal depth, followed by strict validation via forward-chaining Temporal Projection. We evaluate four OWL benchmarks stressing semantic abilities absent in classical planning: parameterized goals with witness search, mid-search DL entailment, open-world assumption injection, and adversarial contradiction hunting. Results demonstrate qualitative superiority over classical planners and prove our direct-derivation approach quantitatively outperforms an MHS-faithful baseline during abductive enrichment.
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