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https://research.matf.bg.ac.rs/handle/123456789/601| Title: | Formalization of the Poincaré Disc Model of Hyperbolic Geometry | Authors: | Simić, Danijela Marić, Filip Boutry, Pierre |
Affiliations: | Informatics and Computer Science Informatics and Computer Science |
Keywords: | Formalization of geometry;Isabelle/HOL;Poincaré model | Issue Date: | 1-Jan-2021 | Journal: | Journal of Automated Reasoning | 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 CP1and 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. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/601 | ISSN: | 01687433 | DOI: | 10.1007/s10817-020-09551-2 |
| Appears in Collections: | Research outputs |
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