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English(EN) First-Order Modal Logic in HOL: Deep and Shallow Embeddings with Automated Faithfulness (Extended Preprint)

在Isabelle/HOL中开发了一阶模态逻辑的新嵌入方法

作者 PulseAugur 编辑部 · [1 个来源] ·

研究人员开发了在Isabelle/HOL（一种高阶逻辑定理证明器）中嵌入一阶模态逻辑（FML）的新方法。这项工作将先前命题逻辑的研究扩展到了更复杂的一阶片段，提供了深层、最大浅层和最小浅层嵌入。一项关键贡献是实现了FML的向下Löwenheim-Skolem定理的机械化，这对于证明最小浅层嵌入的忠实度至关重要。 AI

排序理由 该集群包含一篇详细介绍逻辑系统新形式方法和嵌入的研究论文。[lever_c_demoted from research: ic=1 ai=0.4]

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在Isabelle/HOL中开发了一阶模态逻辑的新嵌入方法

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该集群包含一篇详细介绍逻辑系统新形式方法和嵌入的研究论文。[lever_c_demoted from research: ic=1 ai=0.4]
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报道来源 [1]

  1. arXiv cs.AI TIER_1 English(EN) · Christoph Benzm\"uller, Daniel Kirchner ·

    HOL中的一阶模态逻辑：深度和浅层嵌入与自动化忠实性（扩展预印本）

    arXiv:2607.10880v1 Announce Type: new Abstract: We extend, in Isabelle/HOL, the deep-and-shallow embedding methodology of our prior work from propositional to first-order modal logic (FML) with constant-domain Kripke semantics. Three embeddings of FML into classical higher-order …

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