arXiv:2605.01797cs.AI2026-05

用神经网络加速答案集编程的稳定模型计算,提升可扩展性。

Neural Decision-Propagation for Answer Set Programming

论文配图:Neural Decision-Propagation for Answer Set Programming
图 1 · 摘自论文原文
  • 提出决策传播法,交替进行真假判断与传播推理
  • 神经版方法在基准测试中提升准确率与计算效率
  • 适合研究神经符号系统或需要高效逻辑推理的场景

将答案集编程(ASP)与神经网络结合是神经符号人工智能的前沿方向。现有方法虽拓展了ASP在现实场景的应用,但依赖传统求解器,难以规模化。为此,本文提出决策传播(DProp)方法,通过交替进行假值决策与真值传播来计算稳定模型,其计算过程能正确捕获稳定模型语义。进一步提出神经决策传播(NDProp),采用神经网络进行决策、模糊评估实现传播,具备可微特性。实验表明,NDProp能有效学习决策启发式,并在神经符号基准上显著提升准确率与可扩展性。

原文摘要 · Abstract (English)

Integration of Answer Set Programming (ASP) with neural networks has emerged as a promising tool in Neuro-symbolic AI. While existing approaches extend the capabilities of ASP to real world domains, their reasoning pipelines depend on classical solvers, which is a bottleneck for scalability. To tackle this problem, we propose a new method to compute stable models, called decision-propagation (DProp), which alternates falsity decisions and truth propagations. Successful DProp computations are shown to capture the stable model semantics. We then develop Neural DProp (NDProp), a differentiable extension of DProp with neural computation for decisions and fuzzy evaluation for propagations. We evaluate the capabilities of NDProp for learning decision heuristics as well as neuro-symbolic integration, and compare it with existing neuro-symbolic approaches. The results show that NDProp can learn to efficiently compute stable models, and it improves accuracy and scalability on neuro-symbolic benchmarks.

神经符号逻辑推理可微编程

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