Skip to Main content Skip to Navigation
Journal articles

Formalization of the Poincaré Disc Model of Hyperbolic Geometry

Abstract : We describe formalization of the Poincaré disc model of hyperbolic geometry within the Isabelle/HOL proof assistant. The model is defined within the complex projective line ℂP1 and is shown to satisfy Tarski's axioms except for Euclid's axiom — it is shown to satisfy it's negation, and, moreover, to satisfy the existence of limiting parallels axiom.
Document type :
Journal articles
Complete list of metadata

https://hal.inria.fr/hal-03120829
Contributor : Pierre Boutry Connect in order to contact the contributor
Submitted on : Monday, January 25, 2021 - 10:16:12 PM
Last modification on : Thursday, December 2, 2021 - 3:17:04 AM
Long-term archiving on: : Monday, April 26, 2021 - 7:33:13 PM

File

Poincare.pdf
Files produced by the author(s)

Identifiers

Citation

Danijela Simić, Filip Marić, Pierre Boutry. Formalization of the Poincaré Disc Model of Hyperbolic Geometry. Journal of Automated Reasoning, Springer Verlag, 2020, 65 (1), pp.31-73. ⟨10.1007/s10817-020-09551-2⟩. ⟨hal-03120829⟩

Share

Metrics

Les métriques sont temporairement indisponibles