文章基本信息

标题：Towards Intuitive Reasoning in Axiomatic Geometry
本地全文：下载
作者：Maximilian Doré ; Krysia Broda
期刊名称：Electronic Proceedings in Theoretical Computer Science
电子版ISSN：2075-2180
出版年度：2019
卷号：290
页码：38-55
DOI：10.4204/EPTCS.290.4
语种：English
出版社：Open Publishing Association
摘要：Proving lemmas in synthetic geometry is often a time-consuming endeavour since many intermediate lemmas need to be proven before interesting results can be obtained. Improvements in automated theorem provers (ATP) in recent years now mean they can prove many of these intermediate lemmas. The interactive theorem prover Elfe accepts mathematical texts written in fair English and verifies them with the help of ATP. Geometrical texts can thereby easily be formalized in Elfe, leaving only the cornerstones of a proof to be derived by the user. This allows for teaching axiomatic geometry to students without prior experience in formalized mathematics.