Towards intuitive reasoning in axiomatic geometry
Authors: Maximilian Doré and Krysia Broda
Paper Information
Title: | Towards intuitive reasoning in axiomatic geometry |
Authors: | Maximilian Doré and Krysia Broda |
Proceedings: | ThEdu Extended Abstracts |
Editors: | Pedro Quaresma and Walther Neuper |
Keywords: | Synthetic Geometry, Logic for Teaching, Natural mathematical language, Automated Theorem Proving, Interactive Theorem Proving |
Abstract: | ABSTRACT. Proving lemmas in synthetic geometry is an often time-consuming endeavour - many intermediate lemmas need to be proven before interesting results can be obtained. Automated theorem provers (ATP) made much progress in the recent years and can prove many of these intermediate lemmas automatically. The interactive theorem prover Elfe accepts mathematical texts written in fair English and verifies the text 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 formal mathematics. |
Pages: | 2 |
Talk: | Jul 18 14:00 (Session 127M) |
Paper: |