TY - GEN

T1 - An Isabelle/HOL formalisation of Green’s theorem

AU - Abdulaziz, Mohammad

AU - Paulson, Lawrence C.

N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2016.

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84984819459&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-43144-4_1

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

M3 - Conference contribution

SN - 9783319431437

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 3

EP - 19

BT - Interactive Theorem Proving - 7th International Conference, ITP 2016, Proceedings

A2 - Blanchette, Jasmin Christian

A2 - Merz, Stephan

PB - Springer Verlag

T2 - 7th International Conference on Interactive Theorem Proving, ITP 2016

Y2 - 22 August 2016 through 25 August 2016

ER -