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Constructive Axiomatizations of Plane Absolute, Euclidean and Hyperbolic Geometry
Mathematical Logic Quarterly 47 (1):129-136 (2001)
Abstract
In this paper we provide quantifier-free, constructive axiomatizations for 2-dimensional absolute, Euclidean, and hyperbolic geometry. The main novelty consists in the first-order languages in which the axiom systems are formulatedOther Versions
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Citations of this work
The simplest axiom system for plane hyperbolic geometry.Victor Pambuccian - 2004 - Studia Logica 77 (3):385 - 411.
Logic for physical space: From antiquity to present days.Marco Aiello, Guram Bezhanishvili, Isabelle Bloch & Valentin Goranko - 2012 - Synthese 186 (3):619-632.
Quantifier elimination for elementary geometry and elementary affine geometry.Rafael Grimson, Bart Kuijpers & Walied Othman - 2012 - Mathematical Logic Quarterly 58 (6):399-416.
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