Download PDFOpen PDF in browser

Automation for Geometry in Isabelle/HOL

11 pagesPublished: May 16, 2012

Abstract

In this paper we describe a number of automation techniques which we have developed to assist us in reasoning formally about geometry in the interactive theorem prover Isabelle. These range from simplification rules to a user-centric integration of Isabelle with the computer algebra system QEPCAD-B. We demonstrate the power and limitations of these techniques through illustrative examples taken from our verification of a triangulation algorithm.

Keyphrases: geometry, Isabelle, QEPCAD, simplification

In: Renate A. Schmidt, Stephan Schulz and Boris Konev (editors). PAAR-2010: Proceedings of the 2nd Workshop on Practical Aspects of Automated Reasoning, vol 9, pages 84--94

Links:
BibTeX entry
@inproceedings{PAAR-2010:Automation_for_Geometry_in,
  author    = {Laura Meikle and Jacques Fleuriot},
  title     = {Automation for Geometry in Isabelle/HOL},
  booktitle = {PAAR-2010: Proceedings of the 2nd Workshop on Practical Aspects of Automated Reasoning},
  editor    = {Renate A. Schmidt and Stephan Schulz and Boris Konev},
  series    = {EPiC Series in Computing},
  volume    = {9},
  pages     = {84--94},
  year      = {2012},
  publisher = {EasyChair},
  bibsource = {EasyChair, https://easychair.org},
  issn      = {2398-7340},
  url       = {https://easychair.org/publications/paper/l91},
  doi       = {10.29007/r5k7}}
Download PDFOpen PDF in browser