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An Isabelle/HOL formalisation of Green's theorem

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Date

2016

Authors

Mansour (Abdulaziz), Mohammad
Paulson, Lawrence C.

Journal Title

Journal ISSN

Volume Title

Publisher

Springer International Publishing Switzerland

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

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Citation

URI

http://hdl.handle.net/1885/307581

Collections

ANU Research Publications

Source

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Type

Conference paper

Book Title

Entity type

Access Statement

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DOI

10.1007/978-3-319-43144-4_1

Restricted until

2099-12-31

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978-3-319-43144-4_1.pdf (2.79 MB)

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