多种逻辑,同一方法:在形式化推理中倡导逻辑多元主义 / Many Logics, One Methodology: A Plea for Logical Pluralism in Formalised Reasoning (preprint)
1️⃣ 一句话总结
本文基于过去20年将非经典逻辑浅嵌入经典高阶逻辑的研究,提出在LogiKEy这样的统一元逻辑框架内支持对象层面的逻辑多元主义,并警告逻辑帝国主义(即僵化使用单一基础逻辑)会阻碍跨学科知识复用。
This position statement looks back on two decades of work on shallow embeddings of non-classical logics in classical higher-order logic (HOL), a line of research that expanded into a range of logic embeddings in HOL and inspired the LogiKEy logic-pluralistic knowledge representation and reasoning methodology. This paper advances the case for logical pluralism at object-logic level within a unifying meta-logical framework such as LogiKEy, grounding the argument in computational metaphysics. More broadly, it advocates principled support for logical pluralism in modern proof assistants, and cautions against logical imperialism -- the rigid adoption of a single foundational logic for large-scale theory developments -- which impedes the interdisciplinary reuse that LogiKEy is designed to enable.
多种逻辑,同一方法:在形式化推理中倡导逻辑多元主义 / Many Logics, One Methodology: A Plea for Logical Pluralism in Formalised Reasoning (preprint)
本文基于过去20年将非经典逻辑浅嵌入经典高阶逻辑的研究,提出在LogiKEy这样的统一元逻辑框架内支持对象层面的逻辑多元主义,并警告逻辑帝国主义(即僵化使用单一基础逻辑)会阻碍跨学科知识复用。
源自 arXiv: 2605.27246