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The simplest axiom system for hyperbolic geometry revisited, again. (English) Zbl 1301.03017
Summary: Dependencies are identified in two recently proposed first-order axiom systems for plane hyperbolic geometry. Since the dependencies do not specifically concern hyperbolic geometry, our results yield two simpler axiom systems for absolute geometry.

03B30 Foundations of classical theories (including reverse mathematics)
03B35 Mechanization of proofs and logical operations
51F05 Absolute planes in metric geometry
51M05 Euclidean geometries (general) and generalizations
51M09 Elementary problems in hyperbolic and elliptic geometries
51M10 Hyperbolic and elliptic geometries (general) and generalizations
Full Text: DOI
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