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Ordering in mechanical geometry theorem proving

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Abstract

Ordering in mechanical geometry theorem proving is studied from geometric viewpoint and some new ideas are proposed. For Thebault’s theorem which is the most difficult theorem that has ever been proved by Wu’s method, a very simple proof using Wu’s method under a linear order is discovered.

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References

  1. Wu Wentsun, On the decision problem and the mechanization of theorem proving in elementary geometry,Scientia Sinica, 1978, 21(2): 159.

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  2. Wu Wentsun,Mechanical Theorem Proving in Geometries: Basic Principle (translated from Chinese edition, 1984), New York: Springer-Verlag, 1994.

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  3. Chou, S.C.,Mechanical Geometry Theorem Proving, Dordrecht: D. Reidel Publishing Company, 1988.

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Project supported by the National Natural Science Foundation of China.

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Li, H. Ordering in mechanical geometry theorem proving. Sci. China Ser. A-Math. 40, 225–233 (1997). https://doi.org/10.1007/BF02874514

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  • DOI: https://doi.org/10.1007/BF02874514

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