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An Isabelle/HOL formalisation of Green’s theorem

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

Abdulaziz, M 
Paulson, LC 

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.

Description

Keywords

46 Information and Computing Sciences

Journal Title

Lecture Notes in Computer Science

Conference Name

Journal ISSN

0302-9743
1611-3349

Volume Title

9807

Publisher

Springer