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English(EN) ZX-Calculus:Trace-Indexed Dependent Types and Epistemic Semantics

ZX-Calculus 将类型论扩展至包含信念修正

作者 PulseAugur 编辑部 · [2 个来源] ·

研究人员引入了 ZX-Calculus，这是对 Martin-Lof 依赖类型理论的扩展，整合了迹索引类型、预层语义学和信念修正。该演算包含了迹类型、层语义学和 AGM 信念修正公理的形式化证明，其中很大一部分已在 Coq 中得到验证。一项关键发现是 B^AGM 未能满足序列修正的层组合律，这凸显了路径依赖的信念修正与函子一致性之间先前未被认识到的张力。 AI

排序理由 这是一篇研究论文，详细介绍了一种具有形式化证明和验证的新理论演算。[lever_c_demoted from research: ic=2 ai=0.4]

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ZX-Calculus 将类型论扩展至包含信念修正

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这是一篇研究论文，详细介绍了一种具有形式化证明和验证的新理论演算。[lever_c_demoted from research: ic=2 ai=0.4]
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报道来源 [2]

  1. arXiv cs.CL TIER_1 English(EN) · Peng Chen ·

    ZX-Calculus: 迹索引依赖类型与认知语义学

    arXiv:2606.03063v1 Announce Type: cross Abstract: We propose ZX-Calculus (Knowledge Evolution Calculus), a conservative extension of Martin-Lof Dependent Type Theory (MLTT) integrating trace-indexed types, presheaf non-monotone semantics, and constructive AGM belief revision. A C…

  2. Hugging Face Daily Papers TIER_1 English(EN) ·

    ZX-Calculus: 迹索引依赖类型与认知语义学

    We propose ZX-Calculus (Knowledge Evolution Calculus), a conservative extension of Martin-Lof Dependent Type Theory (MLTT) integrating trace-indexed types, presheaf non-monotone semantics, and constructive AGM belief revision. A Coq mechanisation accompanies the paper (34 complet…

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