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An Isabelle/HOL Formalisation of Green’s Theorem

  • Mohammad AbdulazizEmail author
  • Lawrence C. Paulson
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9807)

Abstract

We formalise a statement of Green’s theorem in Isabelle/HOL, which is its first formalisation to our knowledge. The theorem statement that we formalise is enough for most applications, especially in physics and engineering. An interesting aspect of our formalisation is that we neither formalise orientations nor region boundaries explicitly, with respect to the outwards-pointing normal vector. Instead we refer to equivalences between paths.

Keywords

Elementary Region Line Integral Horizontal Edge Original Boundary Regular Region 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgement

This research was supported in part by an Australian National University - International Alliance of Research Universities Travel Grant and by an Australian National University, College of Engineering and Computer Science Dean’s Travel Grant Award. Also, the first author thanks Katlyn Quenzer for helpful discussions.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Canberra Research Laboratory, NICTACanberraAustralia
  2. 2.Australian National UniversityCanberraAustralia
  3. 3.Computer LaboratoryUniversity of CambridgeCambridgeEngland

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