Formalising Geometric Axioms for Minkowski Spacetime and Without-Loss-of-Generality Theorems

Richard Schmoetten, Jake Palmer, Jacques Fleuriot

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract / Description of output

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".

Original languageEnglish
Title of host publicationProceedings of the 13th International Conference on Automated Deduction in Geometry 2021
EditorsPredrag Janičić, Zoltán Kovács
PublisherOpen Publishing Association
Pages116-128
Number of pages13
Volume352
DOIs
Publication statusPublished - 30 Dec 2021
Event13th International Conference on Automated Deduction in Geometry, ADG 2021 - Virtual, Hagenberg, Austria
Duration: 15 Sept 202117 Sept 2021

Publication series

NameElectronic Proceedings in Theoretical Computer Science, EPTCS
PublisherOpen Publishing Association
Volume352
ISSN (Electronic)2075-2180

Conference

Conference13th International Conference on Automated Deduction in Geometry, ADG 2021
Country/TerritoryAustria
CityVirtual, Hagenberg
Period15/09/2117/09/21

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