Constructive axiomatizations of plane absolute, Euclidean and hyperbolic geometry

被引：0
|
作者：
Pambuccian, V [1 ]
机构：
[1] Arizona State Univ W, Dept Integrat Studies, Phoenix, AZ 85069 USA
来源：
MATHEMATICAL LOGIC QUARTERLY | 2001年 / 47卷 / 01期
关键词：
absolute geometry; hyperbolic geometry; Euclidean geometry; constructive axiomatization; quantifier-free axiomatization;
D O I：
10.1002/1521-3870(200101)47:1<129::AID-MALQ129>3.0.CO;2-B
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 formulated. Mathematics Subject Classification: 03F65, 51F05, 51M05, 51M10, 03B30.
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页码：129 / 135
页数：7
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