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Constructive axiomatization of plane hyperbolic geometry - MaRDI portal

Constructive axiomatization of plane hyperbolic geometry (Q2765570)

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scientific article; zbMATH DE number 1694865
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Constructive axiomatization of plane hyperbolic geometry
scientific article; zbMATH DE number 1694865

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    24 January 2002
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    constructive axiomatisation
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    plane hyperbolic geometry
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    Menger-Skala axioms
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    Constructive axiomatization of plane hyperbolic geometry (English)
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    A constructive axiomatisation of plane hyperbolic geometry is provided in a first-order language with two sorts of individual variables (meant to denote points and lines, respectively). The adequacy of the axiom system is shown by proving the Menger-Skala axioms within the new system.
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