Simplifying the axiomatization for ordered affine geometry via a theorem prover
نویسندگان
چکیده
Jan von Plato proposed in 1998 an intuitionist axiomatization of ordered affine geometry consisting 22 axioms. It is shown that axiom I.7, which equivalent to a conjunction four statements, two are redundant, can be replaced with simpler axiom, Plato’s Theorem 3.10.
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ژورنال
عنوان ژورنال: Journal of Geometry
سال: 2023
ISSN: ['0047-2468', '1420-8997']
DOI: https://doi.org/10.1007/s00022-023-00671-9