论文标题
正式化Minkowski时空的几何公理，而没有生物损失定理
Formalising Geometric Axioms for Minkowski Spacetime and Without-Loss-of-Generality Theorems
论文作者
论文摘要
这项贡献报道了Minkowski时空的公理系统的持续形式化（在特殊相对性研究中使用），这与Minkowski所采用的矢量太空方法更接近Hilbert的欧几里得几何方法。我们简要概述了公理以及与线性顺序有关的定理的形式化。讨论了Isabelle/Isar脚本的证明和摘录，重点是使用对称性和推理“不会丧失一般性”。
This contribution reports on the continued formalisation of an axiomatic system for Minkowski spacetime (as used in the study of Special Relativity) which is closer in spirit to Hilbert's axiomatic approach to Euclidean geometry than to the vector space approach employed by Minkowski. We present a brief overview of the axioms as well as of a formalisation of theorems relating to linear order. Proofs and excerpts of Isabelle/Isar scripts are discussed, with a focus on the use of symmetry and reasoning "without loss of generality".
